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Geometric and Numerical Optimal Control : Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging / / by Bernard Bonnard, Monique Chyba, Jérémy Rouot
| Geometric and Numerical Optimal Control : Application to Swimming at Low Reynolds Number and Magnetic Resonance Imaging / / by Bernard Bonnard, Monique Chyba, Jérémy Rouot |
| Autore | Bonnard Bernard |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (XV, 108 p. 47 illus., 40 illus. in color.) |
| Disciplina | 515.64 |
| Collana | SpringerBriefs in Mathematics |
| Soggetto topico |
Calculus of variations
Neurosciences Applied mathematics Engineering mathematics Mathematical models Bioinformatics Computational biology Calculus of Variations and Optimal Control; Optimization Applications of Mathematics Mathematical Modeling and Industrial Mathematics Computer Appl. in Life Sciences |
| ISBN | 3-319-94791-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Historical part - Calculus of variations -- 2 Weak Maximum Principle and Application to Swimming at low Reynolds Number -- 3 Maximum Principle and Application to NMR and MRI -- 4 Conclusion. |
| Record Nr. | UNINA-9910300113203321 |
Bonnard Bernard
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometric Control Theory and Sub-Riemannian Geometry / / edited by Gianna Stefani, Ugo Boscain, Jean-Paul Gauthier, Andrey Sarychev, Mario Sigalotti
| Geometric Control Theory and Sub-Riemannian Geometry / / edited by Gianna Stefani, Ugo Boscain, Jean-Paul Gauthier, Andrey Sarychev, Mario Sigalotti |
| Edizione | [1st ed. 2014.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 |
| Descrizione fisica | 1 online resource (385 p.) |
| Disciplina | 516.373 |
| Collana | Springer INdAM Series |
| Soggetto topico |
Calculus of variations
Global analysis (Mathematics) Manifolds (Mathematics) Differential geometry Calculus of Variations and Optimal Control; Optimization Global Analysis and Analysis on Manifolds Differential Geometry |
| ISBN | 3-319-02132-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 A. A. Agrachev - Some open problems -- 2 D. Barilari, A. Lerario - Geometry of Maslov cycles -- 3 Y. Baryshnikov, B. Shapiro - How to Run a Centipede: a Topological Perspective -- 4 B. Bonnard, O. Cots, L. Jassionnesse - Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces -- 5 J-B. Caillau, C. Royer - On the injectivity and nonfocal domains of the ellipsoid of revolution -- 6 P. Cannarsa, R. Guglielmi - Null controllability in large time for the parabolic Grushin operator with singular potential -- 7 Y. Chitour, M. Godoy Molina, P. Kokkonen - The rolling problem: overview and challenges -- 8 A. A. Davydov, A. S. Platov - Optimal stationary exploitation of size-structured population with intra-specific competition -- 9 B. Doubrov, I. Zelenko - On geometry of affine control systems with one input -- 10 B. Franchi, V. Penso, R. Serapioni - Remarks on Lipschitz domains in Carnot groups -- 11 R. V. Gamkrelidze - Differential-geometric and invariance properties of the equations of Maximum Principle (MP) -- 12 N. Garofalo - Curvature-dimension inequalities and Li-Yau inequalities in sub-Riemannian spaces -- 13 R. Ghezzi, F. Jean - Hausdorff measures and dimensions in non equiregular sub-Riemannian manifolds -- 14 V. Jurdjevic - The Delauney-Dubins Problem -- 15 M. Karmanova, S. Vodopyanov - On Local Approximation Theorem on Equiregular Carnot–Carathéodory spaces -- 16 C. Li - On curvature-type invariants for natural mechanical systems on sub-Riemannian structures associated with a principle G-bundle -- 17 I. Markina, S. Wojtowytsch - On the Alexandrov Topology of sub-Lorentzian Manifolds -- 18 R. Monti - The regularity problem for sub-Riemannian geodesics -- 19 L. Poggiolini, G. Stefani - A case study in strong optimality and structural stability of bang–singular extremals -- 20 A. Shirikyan - Approximate controllability of the viscous Burgers equation on the real line -- 21 M. Zhitomirskii - Homogeneous affine line fields and affine line fields in Lie algebras. |
| Record Nr. | UNINA-9910299988103321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometric methods in PDE’s / / edited by Giovanna Citti, Maria Manfredini, Daniele Morbidelli, Sergio Polidoro, Francesco Uguzzoni
| Geometric methods in PDE’s / / edited by Giovanna Citti, Maria Manfredini, Daniele Morbidelli, Sergio Polidoro, Francesco Uguzzoni |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (381 p.) |
| Disciplina | 515.353 |
| Collana | Springer INdAM Series |
| Soggetto topico |
Partial differential equations
Functional analysis Potential theory (Mathematics) Calculus of variations Fourier analysis Differential geometry Partial Differential Equations Functional Analysis Potential Theory Calculus of Variations and Optimal Control; Optimization Fourier Analysis Differential Geometry |
| ISBN | 3-319-02666-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 On Friedrichs commutators lemma for Hardy spaces and applications. Jorge Hounie -- 2 On the Hardy constant of some non-convex planar domains. Gerassimos Barbatis and Achilles Tertikas -- 3 Sharp singular Trudinger-Moser-Adams type inequalities with exact growth. Nguyen Lam and Guozhen Lu. 4 A Quantitative Lusin Theorem for Functions in BV. András Telcs and Vincenzo Vespri -- 5 X-Elliptic Harmonic Maps. Sorin Dragomir -- 6 Sum operators and Fefferman - Phong inequalities. Giuseppe Di Fazio, Maria Stella Fanciullo, Pietro Zamboni -- 7 Lp-parabolic regularity and non-degenerate Ornstein-Uhlenbeck type Operators. Enrico Priola -- 8 Local solvability of nonsmooth Hörmander’s operators. Marco Bramanti -- 9 Multiple solutions for an eigenvalue problem involving non–local elliptic p–Laplacian operators. Patrizia Pucci and Sara Saldi -- 10 Uniqueness of solutions of a class of quasilinear subelliptic equations. Lorenzo D’Ambrosio and Enzo Mitidieri -- 11 Liouville type theorems for non-linear differential inequalities on Carnot groups. Luca Brandolini and Marco Magliaro -- 12 Modica type gradient estimates for reaction-diffusion equations. Agnid Banerjee and Nicola Garofalo -- 13 A few recent results on fully nonlinear pde’s. Italo Capuzzo Dolcetta -- 14 Hölder regularity of the gradient for solutions of fully nonlinear equations with sub linear first order term. Isabeau Birindelli and Francoise Demengel -- 15 The Reflector Problem and the inverse square law. Cristian E. Gutiérrez and Ahmad Sabra -- 16 Gagliardo-Nirenberg inequalities for horizontal vector fields in the Engel group and in the 7-dimensional quaternionic Heisenberg group. Annalisa Baldi, Bruno Franchi and Francesca Tripaldi -- 17 Regularity of the free boundary in problems with distributed sources. Daniela De Silva, Fausto Ferrari, Sandro Salsa -- 18 The role of fundamental solution in Potential and Regularity Theory for subelliptic PDE. Andrea Bonfiglioli, Giovanna Citti, Giovanni Cupini, Maria Manfredini, Annamaria Montanari, Daniele Morbidelli, Andrea Pascucci, Sergio Polidoro, Francesco Uguzzoni. |
| Record Nr. | UNINA-9910300251003321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometric Partial Differential Equations [[electronic resource] /] / edited by Antonin Chambolle, Matteo Novaga, Enrico Valdinoci
| Geometric Partial Differential Equations [[electronic resource] /] / edited by Antonin Chambolle, Matteo Novaga, Enrico Valdinoci |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Pisa : , : Scuola Normale Superiore : , : Imprint : Edizioni della Normale, , 2013 |
| Descrizione fisica | 1 online resource (276 p.) |
| Disciplina |
515.353
621.36/7 |
| Collana | CRM Series |
| Soggetto topico |
Partial differential equations
Calculus of variations Partial Differential Equations Calculus of Variations and Optimal Control; Optimization |
| ISBN | 88-7642-473-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | N. Alikakos: On the structure of phase transition maps for three or more coexisting phases -- S. Amato, G. Bellettini, M. Paolini: The nonlinear multidomain model: a new formal asymptotic analysis -- A. Chambolle, M. Goldman, M. Novaga: Existence and qualitative properties of isoperimetric sets in periodic media -- A. Chambolle, M. Morini, M. Ponsiglione: Minimizing movements and level set approach to geometric flow of nonlocal perimeters -- S. Choi, I. Kim: Homogenization with oscillatory Neumann boundary data in general domain -- D. Christodoulou: The Analysis of Shock Formation in 3-Dimensional Fluids -- L. Dupaigne, A. Farina, B. Sirakov: Regularity of the extremal solutions for the Liouville system -- M.-H. Giga, Y. Giga, A. Nakayasu: On general existence results for one-dimensional singular diffusion equations with spatially inhomogeneous driving force -- Y. Giga, G. Pisante: On representation of boundary integrals involving the mean curvature for mean-convex domains -- A. Lemenant, Y. Sire: Elliptic problem in nonsmooth domain, Reifenberg-flat domains, Regularity -- A. Pisante: Maximally localized wannier functions: existence and exponential localization -- A. Stancu: Flows by powers of centro-affine curvature. |
| Record Nr. | UNINA-9910438149903321 |
| Pisa : , : Scuola Normale Superiore : , : Imprint : Edizioni della Normale, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometric Properties for Parabolic and Elliptic PDE's : GPPEPDEs, Palinuro, Italy, May 2015 / / edited by Filippo Gazzola, Kazuhiro Ishige, Carlo Nitsch, Paolo Salani
| Geometric Properties for Parabolic and Elliptic PDE's : GPPEPDEs, Palinuro, Italy, May 2015 / / edited by Filippo Gazzola, Kazuhiro Ishige, Carlo Nitsch, Paolo Salani |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (VIII, 288 p. 13 illus.) |
| Disciplina | 515.353 |
| Collana | Springer Proceedings in Mathematics & Statistics |
| Soggetto topico |
Partial differential equations
Functional analysis Differential equations Calculus of variations Convex geometry Discrete geometry Partial Differential Equations Functional Analysis Ordinary Differential Equations Calculus of Variations and Optimal Control; Optimization Convex and Discrete Geometry |
| ISBN | 3-319-41538-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Angela Alberico, Giuseppina di Blasio and Filomena Feo: Estimates for solutions to anisotropic elliptic equations with zero order term -- 2 Vieri Benci and Lorenzo Luperi Baglini: A topological approach to non-Archimedean Mathematics -- 3 Chiara Bianchini and Giulio Ciraolo: A note on an overdetermined problem for the capacitary potential -- 4 Lorenzo Brasco and Filippo Santambrogio: Poincar´e inequalities on convex sets by Optimal Transport methods -- 5 Davide Buoso: Analyticity and criticality results for the eigenvalues of the biharmonic operator -- 6 Giulio Ciraolo and Luigi Vezzoni: A remark on an overdetermined problem in Riemannian Geometry -- 7 Norisuke Ioku and Michinori Ishiwata: A note on the scale invariant structure of critical Hardy inequalities -- 8 Yoshihito Kohsaka: Stability analysis of Delaunay surfaces as steady states for the surface diffusion equation -- 9 Rolando Magnanini and Giorgio Poggesi: Littlewood’s fourth principle -- 10 Kazuhiro Ishige and Kazushige Nakagawa: The Phragmèn-Lindelöf theorem for a fully nonlinear elliptic problem with a dynamical boundary condition -- 11 Saori Nakamori and Kazuhiro Takimoto: Entire solutions to generalized parabolic k-Hessian equations -- 12 Kurumi Hiruko and Shinya Okabe: Dynamical aspects of a hybrid system describing intermittent androgen suppression therapy of prostate cancer -- 13 Shigeru Sakaguchi: Symmetry problems on stationary isothermic surfaces in Euclidean spaces -- 14 Megumi Sano and Futoshi Takahashi: Improved Rellich type inequalities in RN -- 15 Jin Takahashi: Solvability of a Semilinear Parabolic Equation with Measures as Initial Data -- 16 Jann-Long Chern and Eiji Yanagida: Singular Solutions of the Scalar Field Equation with a Critical Exponent. |
| Record Nr. | UNINA-9910254089103321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometric Properties for Parabolic and Elliptic PDE's [[electronic resource] /] / edited by Rolando Magnanini, Shigeru Sakaguchi, Angelo Alvino
| Geometric Properties for Parabolic and Elliptic PDE's [[electronic resource] /] / edited by Rolando Magnanini, Shigeru Sakaguchi, Angelo Alvino |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Milano : , : Springer Milan : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (293 p.) |
| Disciplina |
515.353
515/.353 |
| Collana | Springer INdAM Series |
| Soggetto topico |
Mathematical analysis
Analysis (Mathematics) Partial differential equations Functional analysis Differential geometry Convex geometry Discrete geometry Calculus of variations Analysis Partial Differential Equations Functional Analysis Differential Geometry Convex and Discrete Geometry Calculus of Variations and Optimal Control; Optimization |
| ISBN |
1-283-91001-2
88-470-2841-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Goro Akagi, Stability and instability of group invariant asymptotic profiles for fast diffusion equations -- Elvise Berchio, A family of Hardy-Rellich type inequalities involving the L2-norm of the Hessian matrices -- Massimiliano Bianchini and Paolo Salani, Power concavity for solutions of nonlinear elliptic problems in convex domains -- Lorenzo Brasco and Rolando Magnanini, The heart of a convex set -- Giulio Ciraolo, A viscosity equation for minimizers of a class of very degenerate elliptic functionals -- Adele Ferone, Kato's inequality in the half space: an alternative proof and relative improvements -- Ilaria Fragalà, Filippo Gazzola and Jimmy Lamboley, Sharp bounds for the p-torsion of convex planar domains -- Giovanni Franzina and Enrico Valdinoci, Geometric analysis of fractional phase transition interfaces -- Antonio Greco, Existence of solutions to some classical variational problems -- Norihisa Ikoma, Existence of minimizers for some coupled nonlinear Schrödinger equations -- Kazuhiro Ishige and Yoshitsugu Kabeya, Decay rate of Lq norms of critical Schrödinger heat semigroups -- Shuichi Jimbo, Hadamard variation for electromagnetic frequencies -- Toru Kan, Global structure of the solution set for a semilinear elliptic problem related to the Liouville equation on an annulus -- Anna Mercaldo, A priori estimates and comparison principle for some nonlinear elliptic equations -- Takeyuki Nagasawa, Existence and uniqueness of the n-dimensional Helfrich flow -- Bernhard Ruf and Federica Sani, Ground states for elliptic equations in R2 with exponential critical growth -- Shigeru Sakaguchi, Stationary level surfaces and Liouville-type theorems characterizing hyperplanes -- Futoshi Takahashi, Nonexistence of multi-bubble solutions for a higher order mean field on equation on convex domains. |
| Record Nr. | UNINA-9910437871303321 |
| Milano : , : Springer Milan : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometric Properties of Banach Spaces and Nonlinear Iterations [[electronic resource] /] / by Charles Chidume
| Geometric Properties of Banach Spaces and Nonlinear Iterations [[electronic resource] /] / by Charles Chidume |
| Autore | Chidume Charles |
| Edizione | [1st ed. 2009.] |
| Pubbl/distr/stampa | London : , : Springer London : , : Imprint : Springer, , 2009 |
| Descrizione fisica | 1 online resource (XVII, 326 p.) |
| Disciplina | 515.732 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Operator theory
Mathematical analysis Analysis (Mathematics) Functional analysis Calculus of variations Integral equations Numerical analysis Operator Theory Analysis Functional Analysis Calculus of Variations and Optimal Control; Optimization Integral Equations Numerical Analysis |
| ISBN | 1-84882-190-5 |
| Classificazione |
MAT 462f
MAT 476f MAT 652f SI 850 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Some Geometric Properties of Banach Spaces -- Smooth Spaces -- Duality Maps in Banach Spaces -- Inequalities in Uniformly Convex Spaces -- Inequalities in Uniformly Smooth Spaces -- Iterative Method for Fixed Points of Nonexpansive Mappings -- Hybrid Steepest Descent Method for Variational Inequalities -- Iterative Methods for Zeros of ? – Accretive-Type Operators -- Iteration Processes for Zeros of Generalized ? —Accretive Mappings -- An Example; Mann Iteration for Strictly Pseudo-contractive Mappings -- Approximation of Fixed Points of Lipschitz Pseudo-contractive Mappings -- Generalized Lipschitz Accretive and Pseudo-contractive Mappings -- Applications to Hammerstein Integral Equations -- Iterative Methods for Some Generalizations of Nonexpansive Maps -- Common Fixed Points for Finite Families of Nonexpansive Mappings -- Common Fixed Points for Countable Families of Nonexpansive Mappings -- Common Fixed Points for Families of Commuting Nonexpansive Mappings -- Finite Families of Lipschitz Pseudo-contractive and Accretive Mappings -- Generalized Lipschitz Pseudo-contractive and Accretive Mappings -- Finite Families of Non-self Asymptotically Nonexpansive Mappings -- Families of Total Asymptotically Nonexpansive Maps -- Common Fixed Points for One-parameter Nonexpansive Semigroup -- Single-valued Accretive Operators; Applications; Some Open Questions. |
| Record Nr. | UNISA-996466526203316 |
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Chidume Charles
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| London : , : Springer London : , : Imprint : Springer, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Geometric Properties of Banach Spaces and Nonlinear Iterations [[electronic resource] /] / by Charles Chidume
| Geometric Properties of Banach Spaces and Nonlinear Iterations [[electronic resource] /] / by Charles Chidume |
| Autore | Chidume Charles |
| Edizione | [1st ed. 2009.] |
| Pubbl/distr/stampa | London : , : Springer London : , : Imprint : Springer, , 2009 |
| Descrizione fisica | 1 online resource (XVII, 326 p.) |
| Disciplina | 515.732 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Operator theory
Mathematical analysis Analysis (Mathematics) Functional analysis Calculus of variations Integral equations Numerical analysis Operator Theory Analysis Functional Analysis Calculus of Variations and Optimal Control; Optimization Integral Equations Numerical Analysis |
| ISBN | 1-84882-190-5 |
| Classificazione |
MAT 462f
MAT 476f MAT 652f SI 850 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Some Geometric Properties of Banach Spaces -- Smooth Spaces -- Duality Maps in Banach Spaces -- Inequalities in Uniformly Convex Spaces -- Inequalities in Uniformly Smooth Spaces -- Iterative Method for Fixed Points of Nonexpansive Mappings -- Hybrid Steepest Descent Method for Variational Inequalities -- Iterative Methods for Zeros of ? – Accretive-Type Operators -- Iteration Processes for Zeros of Generalized ? —Accretive Mappings -- An Example; Mann Iteration for Strictly Pseudo-contractive Mappings -- Approximation of Fixed Points of Lipschitz Pseudo-contractive Mappings -- Generalized Lipschitz Accretive and Pseudo-contractive Mappings -- Applications to Hammerstein Integral Equations -- Iterative Methods for Some Generalizations of Nonexpansive Maps -- Common Fixed Points for Finite Families of Nonexpansive Mappings -- Common Fixed Points for Countable Families of Nonexpansive Mappings -- Common Fixed Points for Families of Commuting Nonexpansive Mappings -- Finite Families of Lipschitz Pseudo-contractive and Accretive Mappings -- Generalized Lipschitz Pseudo-contractive and Accretive Mappings -- Finite Families of Non-self Asymptotically Nonexpansive Mappings -- Families of Total Asymptotically Nonexpansive Maps -- Common Fixed Points for One-parameter Nonexpansive Semigroup -- Single-valued Accretive Operators; Applications; Some Open Questions. |
| Record Nr. | UNINA-9910483979803321 |
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Chidume Charles
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| London : , : Springer London : , : Imprint : Springer, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometrical Themes Inspired by the N-body Problem [[electronic resource] /] / edited by Luis Hernández-Lamoneda, Haydeé Herrera, Rafael Herrera
| Geometrical Themes Inspired by the N-body Problem [[electronic resource] /] / edited by Luis Hernández-Lamoneda, Haydeé Herrera, Rafael Herrera |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (VII, 128 p. 26 illus., 7 illus. in color.) |
| Disciplina | 530.144 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Dynamics
Ergodic theory Calculus of variations Differential equations Geometry Manifolds (Mathematics) Complex manifolds Dynamical Systems and Ergodic Theory Calculus of Variations and Optimal Control; Optimization Ordinary Differential Equations Manifolds and Cell Complexes (incl. Diff.Topology) |
| ISBN | 3-319-71428-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Complex Differential Equations and Geometric Structures on Curves -- 1 Calogero's ``Goldfish,'' Complex Differential Equations and Translation Structures -- 1.1 The ``Goldfish'' Many-Body Problem -- 1.2 Differential Equations and Vector Fields -- 1.3 Translation Structures -- 1.4 Completeness and Semicompleteness -- 1.5 A Reduction -- 1.6 Translation Surfaces and Billiards -- 2 Affine Geometry -- 2.1 An Adapted Differential Operator -- 2.2 Uniformization of Triangles According to Schwarz, I -- 2.3 The Monodromy of the Linear Equation -- 2.4 Back to the Translation Surface -- 2.5 The Remaining Settings -- 3 Aside: Some Elliptic Functions -- 4 Projective Geometry -- 4.1 Möbius Transformations -- 4.2 The Equations of Chazy, Halphen and Ramanujan -- 4.3 Halphen's Invariance Property -- 4.4 The Schwarzian Derivative -- 4.5 Fuchs's Theorem -- 4.6 Schwarz and the Uniformization of Triangles, II -- 4.7 Extending Schwarz's Function -- 4.7.1 If α+β+γ1 (Spherical) -- 4.8 The Holonomy Cover -- 4.9 A Replacement for Translation Surfaces -- 4.10 Back to the Equations -- 4.11 Equations with Solutions Defined in More Unusual Domains -- 4.12 A General Construction -- 5 Epilogue -- References -- Blow-Up, Homotopy and Existence for Periodic Solutionsof the Planar Three-Body Problem -- 1 Introduction -- 1.1 My Path Through the Variational Wilderness -- 1.2 Breakthrough -- 2 Background: Equations and Solutions -- 2.1 Equations -- 2.2 Solutions of Euler and Lagrange -- 3 Shape Sphere: Blow-Up and Reduction, First Pass -- 4 Metric Set-Up: McGehee Blow-Up -- 4.1 Metric Reformulation -- 4.2 McGehee Transformation via Energy Balance -- 4.3 Equilibria! -- 4.3.1 The Euler and Lagrange Family: Planar Problems -- 4.3.2 Aside: An Open Problem -- 4.4 Linear and Angular Momentum.
4.5 Center of Mass Frame -- 4.6 Energy-Momentum Level Sets and the Standard Collision Manifold -- 4.7 Aside: Parabolic Infinity -- 5 Quotient by Rotations -- 5.1 Collision Locus -- 5.2 Accounting for Velocities -- 5.2.1 Velocity (Saari) Decomposition -- 5.2.2 Proof of Proposition 2 -- 5.3 Euler-Lagrange Family in Reduced Coordinates -- 6 A Gradient-Like Flow! -- 6.1 Making Moeckel's Manifold with Corner into a Manifold with a T -- 6.2 Finishing Up the Proof of Theorem 1 -- 7 A Conjecture: Non-existence -- 7.1 Hyperbolic Pants -- 7.2 Hanging Out at Infinity -- 7.3 The Bestiary of Danya Rose -- 7.3.1 Coding Gravitational Billiards -- 7.3.2 B-Mode, Unstable: t0 (8, 5) -- 7.3.3 Regularized Shape Sphere and Numerics -- 7.4 Failure of Limits -- References -- A Quick View of Lagrangian Floer Homology -- 1 Introduction -- 2 Morse-Smale Functions -- 3 Morse Homology -- 4 Symplectic Manifolds and Lagrangian Submanifolds -- 5 Symplectic and Hamiltonian Diffeomorphisms -- 6 Lagrangian Floer Homology -- 7 Computation of HF(L,L) -- 8 Applications -- References. |
| Record Nr. | UNISA-996466536703316 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Geometrical Themes Inspired by the N-body Problem / / edited by Luis Hernández-Lamoneda, Haydeé Herrera, Rafael Herrera
| Geometrical Themes Inspired by the N-body Problem / / edited by Luis Hernández-Lamoneda, Haydeé Herrera, Rafael Herrera |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (VII, 128 p. 26 illus., 7 illus. in color.) |
| Disciplina | 530.144 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Dynamics
Ergodic theory Calculus of variations Differential equations Geometry Manifolds (Mathematics) Complex manifolds Dynamical Systems and Ergodic Theory Calculus of Variations and Optimal Control; Optimization Ordinary Differential Equations Manifolds and Cell Complexes (incl. Diff.Topology) |
| ISBN | 3-319-71428-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- Complex Differential Equations and Geometric Structures on Curves -- 1 Calogero's ``Goldfish,'' Complex Differential Equations and Translation Structures -- 1.1 The ``Goldfish'' Many-Body Problem -- 1.2 Differential Equations and Vector Fields -- 1.3 Translation Structures -- 1.4 Completeness and Semicompleteness -- 1.5 A Reduction -- 1.6 Translation Surfaces and Billiards -- 2 Affine Geometry -- 2.1 An Adapted Differential Operator -- 2.2 Uniformization of Triangles According to Schwarz, I -- 2.3 The Monodromy of the Linear Equation -- 2.4 Back to the Translation Surface -- 2.5 The Remaining Settings -- 3 Aside: Some Elliptic Functions -- 4 Projective Geometry -- 4.1 Möbius Transformations -- 4.2 The Equations of Chazy, Halphen and Ramanujan -- 4.3 Halphen's Invariance Property -- 4.4 The Schwarzian Derivative -- 4.5 Fuchs's Theorem -- 4.6 Schwarz and the Uniformization of Triangles, II -- 4.7 Extending Schwarz's Function -- 4.7.1 If α+β+γ1 (Spherical) -- 4.8 The Holonomy Cover -- 4.9 A Replacement for Translation Surfaces -- 4.10 Back to the Equations -- 4.11 Equations with Solutions Defined in More Unusual Domains -- 4.12 A General Construction -- 5 Epilogue -- References -- Blow-Up, Homotopy and Existence for Periodic Solutionsof the Planar Three-Body Problem -- 1 Introduction -- 1.1 My Path Through the Variational Wilderness -- 1.2 Breakthrough -- 2 Background: Equations and Solutions -- 2.1 Equations -- 2.2 Solutions of Euler and Lagrange -- 3 Shape Sphere: Blow-Up and Reduction, First Pass -- 4 Metric Set-Up: McGehee Blow-Up -- 4.1 Metric Reformulation -- 4.2 McGehee Transformation via Energy Balance -- 4.3 Equilibria! -- 4.3.1 The Euler and Lagrange Family: Planar Problems -- 4.3.2 Aside: An Open Problem -- 4.4 Linear and Angular Momentum.
4.5 Center of Mass Frame -- 4.6 Energy-Momentum Level Sets and the Standard Collision Manifold -- 4.7 Aside: Parabolic Infinity -- 5 Quotient by Rotations -- 5.1 Collision Locus -- 5.2 Accounting for Velocities -- 5.2.1 Velocity (Saari) Decomposition -- 5.2.2 Proof of Proposition 2 -- 5.3 Euler-Lagrange Family in Reduced Coordinates -- 6 A Gradient-Like Flow! -- 6.1 Making Moeckel's Manifold with Corner into a Manifold with a T -- 6.2 Finishing Up the Proof of Theorem 1 -- 7 A Conjecture: Non-existence -- 7.1 Hyperbolic Pants -- 7.2 Hanging Out at Infinity -- 7.3 The Bestiary of Danya Rose -- 7.3.1 Coding Gravitational Billiards -- 7.3.2 B-Mode, Unstable: t0 (8, 5) -- 7.3.3 Regularized Shape Sphere and Numerics -- 7.4 Failure of Limits -- References -- A Quick View of Lagrangian Floer Homology -- 1 Introduction -- 2 Morse-Smale Functions -- 3 Morse Homology -- 4 Symplectic Manifolds and Lagrangian Submanifolds -- 5 Symplectic and Hamiltonian Diffeomorphisms -- 6 Lagrangian Floer Homology -- 7 Computation of HF(L,L) -- 8 Applications -- References. |
| Record Nr. | UNINA-9910300122303321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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