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Existence and regularity results for some shape optimization problems [[electronic resource] /] / by Bozhidar Velichkov
| Existence and regularity results for some shape optimization problems [[electronic resource] /] / by Bozhidar Velichkov |
| Autore | Velichkov Bozhidar |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Pisa : , : Scuola Normale Superiore : , : Imprint : Edizioni della Normale, , 2015 |
| Descrizione fisica | 1 online resource (362 p.) |
| Disciplina |
510
515.64 |
| Collana | Theses (Scuola Normale Superiore) |
| Soggetto topico |
Calculus of variations
Calculus of Variations and Optimal Control; Optimization |
| ISBN | 88-7642-527-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Table of Contents; Preface; Résumé of the main results; Chapter 1 Introduction and Examples; 1.1. Shape optimization problems; 1.2. Why quasi-open sets?; 1.3. Compactness and monotonicity assumptions in the shape optimization; 1.4. Lipschitz regularity of the state functions; Chapter 2 Shape optimization problems in a box; 2.1. Sobolev spaces on metric measure spaces; 2.2. The strong-γ and weak-γ convergence of energy domains; 2.2.1. The weak-γ -convergence of energy sets; 2.2.2. The strong-γ -convergence of energy sets
2.2.3. From the weak-γ to the strong-γ -convergence2.2.4. Functionals on the class of energy sets; 2.3. Capacity, quasi-open sets and quasi-continuous functions; 2.3.1. Quasi-open sets and energy sets from a shape optimization point of view; 2.4. Existence of optimal sets in a box; 2.4.1. The Buttazzo-Dal Maso Theorem; 2.4.2. Optimal partition problems; 2.4.3. Spectral drop in an isolated box; 2.4.4. Optimal periodic sets in the Euclidean space; 2.4.5. Shape optimization problems on compact manifolds; 2.4.6. Shape optimization problems in Gaussian spaces 2.4.7. Shape optimization in Carnot-Caratheodory space2.4.8. Shape optimization in measure metric spaces; Chapter 3 Capacitary measures; 3.1. Sobolev spaces in Rd; 3.1.1. Concentration-compactness principle; 3.1.2. Capacity, quasi-open sets and quasi-continuous functions; 3.2. Capacitary measures and the spaces H1μ; 3.3. Torsional rigidity and torsion function; 3.4. PDEs involving capacitary measures; 3.4.1. Almost subharmonic functions; 3.4.2. Pointwise definition, semi-continuity and vanishing at infinity for solutions of elliptic PDEs Chapter 4 Subsolutions of shape functionals4.1. Introduction; 4.2. Shape subsolutions for the Dirichlet Energy; 4.3. Interaction between energy subsolutions; 4.3.1. Monotonicity theorems; 4.3.2. The monotonicity factors; 4.3.3. The two-phase monotonicity formula; 4.3.4. Multiphase monotonicity formula; 4.3.5. The common boundary of two subsolutions. Application of the two-phase monotonicity formula.; 4.3.6. Absence of triple points for energy subsolutions. Application of the multiphase monotonicity formula; 4.4. Subsolutions for spectral functionals with measure penalization 4.5. Subsolutions for functionals depending on potentials and weights |
| Record Nr. | UNINA-9910299776403321 |
Velichkov Bozhidar
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| Pisa : , : Scuola Normale Superiore : , : Imprint : Edizioni della Normale, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Exterior Billiards [[electronic resource] ] : Systems with Impacts Outside Bounded Domains / / by Alexander Plakhov
| Exterior Billiards [[electronic resource] ] : Systems with Impacts Outside Bounded Domains / / by Alexander Plakhov |
| Autore | Plakhov Alexander |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (295 p.) |
| Disciplina | 515.39 |
| Soggetto topico |
Dynamics
Ergodic theory Calculus of variations Mathematical models Dynamical Systems and Ergodic Theory Calculus of Variations and Optimal Control; Optimization Mathematical Modeling and Industrial Mathematics |
| ISBN |
1-283-62419-2
9786613936646 1-4614-4481-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Exterior Billiards; Introduction; Preface; Contents; Chapter1 Notation and Synopsis of Main Results; 1.1 Definition of Resistance; 1.2 Newton's Aerodynamic Problem; 1.3 Problems of Least Resistance to Translational Motion of Nonconvex Bodies; 1.4 Generalized Newton's Problem in Media with PositiveTemperature; 1.5 Scattering in Billiards; 1.6 Problems of Optimal Mass Transportation; 1.7 Optimizing the Mean Resistance; 1.8 Dynamics of a Spinning Rough Disc; 1.9 Billiards Possessing Extremal Aerodynamic Properties; Chapter2 Problem of Minimum Resistance to Translational Motion of Bodies
2.1 Bodies Inscribed in a Circular Cylinder2.1.1 The Class of Bodies with Fixed Horizontal Projection; 2.1.2 The Class of Sets Containing a Section of the Cylinder; 2.2 Bodies Inscribed in an Arbitrary Cylinder; 2.3 Bodies Modified in a Neighborhood of Their Boundary; 2.3.1 Preliminary Constructions; 2.3.2 Proof of Theorem 2.3; 2.3.3 Proof of Theorem 2.2; 2.4 Two-Dimensional Problem; 2.4.1 Minimum Resistance of Convex Bodies; 2.4.2 Minimum Resistance of Nonconvex Bodies; 2.5 Minimum Specific Resistance of Unbounded Bodies; Chapter3 Newton's Problem in Media with Positive Temperature 3.1 Calculation of Resistance and Statement of Minimization Problem3.1.1 Description of the Medium; 3.1.2 Calculation of Resistance; 3.1.3 Statement of Minimization Problem; 3.2 Auxiliary Minimization Problems; 3.2.1 Two Lemmas on the Functions p; 3.2.2 Lemma of Reduction; 3.2.3 The Minimizing Function for d=2; 3.2.4 The Minimizing Function for d 3; 3.3 Solution of Minimum Resistance Problem; 3.3.1 Two-Dimensional Problem; 3.3.2 The Problem in Three and More Dimensions; 3.3.3 Limiting Cases; 3.4 Gaussian Distribution of Velocities: Exact Solutions; 3.4.1 Two-Dimensional Case 3.4.2 Three-Dimensional Case3.5 Proof of Auxiliary Statements; 3.5.1 Proof of Lemma 3.1; 3.5.2 Proof of Lemma 3.2; 3.5.3 Proof of Formula (3.41); Chapter4 Scattering in Billiards; 4.1 Scattering in the Two-Dimensional Case; 4.1.1 Measures Associated with Hollows; 4.1.2 Examples; 4.1.3 Basic Theorem; 4.1.4 Proof of Formula (4.20); 4.1.5 Classification of Scattering Lawson Two-Dimensional Bodies; 4.2 Scattering by the Surface of Rough Bodies; 4.2.1 Proof of Theorem 4.4; 4.2.2 Proof of Theorem 4.5; 4.2.3 Proof of Lemma 4.2; 4.2.4 Proof of Lemma 4.3; 4.2.5 Resistance of Notched Arc Chapter 5 Problems of Optimal Mass Transportation5.1 Statement of the One-Dimensional Problem and the Results; 5.2 Proof of Theorem 5.1; 5.3 Examples; 5.4 The Problem of Mass Transfer on a Sphere; Chapter6 Problems on Optimization of Mean Resistance; 6.1 Two-Dimensional Case; 6.1.1 Resistance in a Medium with Temperature Zero; 6.1.2 Media with Nonzero Temperature; 6.2 Case of Higher Dimension; Chapter 7 The Magnus Effect and the Dynamics of a Rough Disc; 7.1 Description of the Effect and Statement of the Problem; 7.1.1 Statement of the Problem for a Rough Disc 7.1.2 Summary of the Remainder of the Chapter |
| Record Nr. | UNINA-9910438156303321 |
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Plakhov Alexander
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| New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fault Diagnosis Inverse Problems: Solution with Metaheuristics [[electronic resource] /] / by Lídice Camps Echevarría, Orestes Llanes Santiago, Haroldo Fraga de Campos Velho, Antônio José da Silva Neto
| Fault Diagnosis Inverse Problems: Solution with Metaheuristics [[electronic resource] /] / by Lídice Camps Echevarría, Orestes Llanes Santiago, Haroldo Fraga de Campos Velho, Antônio José da Silva Neto |
| Autore | Camps Echevarría Lídice |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (XVIII, 167 p. 68 illus., 52 illus. in color.) |
| Disciplina | 620.00452 |
| Collana | Studies in Computational Intelligence |
| Soggetto topico |
Mathematical models
Computer mathematics Calculus of variations Mathematical Modeling and Industrial Mathematics Computational Science and Engineering Calculus of Variations and Optimal Control; Optimization |
| ISBN | 3-319-89978-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 01- Model-based Fault Diagnosis and Inverse Problems -- Chapter 02- Fault Diagnosis Inverse Problems -- Chapter 03- Metaheuristics for Optimization Problems -- Chapter 04- Applications of the Fault Diagnosis: Inverse Problem Methodology to Benchmark Problems -- Chapter 05- Final Remarks -- Appendix A- Implementation in Matlab of Differential Evolution with Particle Collision (DEwPC) -- Appendix B- Implementation in Mathlab of Particle Swarm Optimization with Memory (PSO-M) -- References. |
| Record Nr. | UNINA-9910337603203321 |
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Camps Echevarría Lídice
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Feedback Stabilization of Controlled Dynamical Systems [[electronic resource] ] : In Honor of Laurent Praly / / edited by Nicolas Petit
| Feedback Stabilization of Controlled Dynamical Systems [[electronic resource] ] : In Honor of Laurent Praly / / edited by Nicolas Petit |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
| Descrizione fisica | 1 online resource (X, 354 p. 28 illus., 17 illus. in color.) |
| Disciplina | 629.83 |
| Collana | Lecture Notes in Control and Information Sciences |
| Soggetto topico |
Control engineering
System theory Vibration Dynamical systems Dynamics Calculus of variations Control and Systems Theory Systems Theory, Control Vibration, Dynamical Systems, Control Calculus of Variations and Optimal Control; Optimization |
| ISBN | 3-319-51298-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I: Adaptive Control -- Global Transverse Exponential Stability -- Model Reduction for Nonlinear Systems -- Network Small-Gain Theorems with Applications in Quantized and Event-Triggered Nonlinear Control -- From Theory to Practice in Adaptive Control: A Review -- Part II: Stabilization and Output Feedback -- An ODE Observer for Lyapunov-Based Global Stabilization of a Bioreactor Nonlinear PDE -- On State and Input Constraints in Nonlinear Systems -- High-Gain Nonlinear Observers with Limited Gain Power -- Asymptotic Stabilization by Means of Event-Triggered Output Feedbacks -- Contraction Theory as a Tool for the Design of Hybrid Control Systems -- Part III: New Perspectives -- Linear Transformations and Stabilization of Nonlinear PDE Control Systems -- Models and State Tomography of Open Quantum Systems -- Recent Developments for Stochastic Hybrid Systems. |
| Record Nr. | UNINA-9910254336003321 |
| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Finite Approximations in Discrete-Time Stochastic Control [[electronic resource] ] : Quantized Models and Asymptotic Optimality / / by Naci Saldi, Tamás Linder, Serdar Yüksel
| Finite Approximations in Discrete-Time Stochastic Control [[electronic resource] ] : Quantized Models and Asymptotic Optimality / / by Naci Saldi, Tamás Linder, Serdar Yüksel |
| Autore | Saldi Naci |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 |
| Descrizione fisica | 1 online resource (VII, 198 p. 6 illus.) |
| Disciplina | 515.64 |
| Collana | Systems & Control: Foundations & Applications |
| Soggetto topico |
Calculus of variations
System theory Control engineering Probabilities Approximation theory Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Control and Systems Theory Probability Theory and Stochastic Processes Approximations and Expansions |
| ISBN | 3-319-79033-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction and Summary -- Part I: Finite Model Approximations in Stochastic Control -- Prelude to Part I -- Finite Action Approximation of Markov Decision Processes -- Finite-State Approximation of Markov Decision Processes -- Approximations for Partially Observed Markov Decision Processes -- Approximations for Constrained Markov Decision Problems -- Part II: Finite Model Approximations in Decentralized Stochastic Control -- Prelude to Part II -- Finite Model Approximations in Decentralized Stochastic Control -- Asymptotic Optimality of Finite Models for Specific Systems -- Index -- References. |
| Record Nr. | UNINA-9910300102103321 |
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Saldi Naci
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Flows of Non-Smooth Vector Fields and Degenerate Elliptic Equations [[electronic resource] ] : With Applications to the Vlasov-Poisson and Semigeostrophic Systems / / by Maria Colombo
| Flows of Non-Smooth Vector Fields and Degenerate Elliptic Equations [[electronic resource] ] : With Applications to the Vlasov-Poisson and Semigeostrophic Systems / / by Maria Colombo |
| Autore | Colombo Maria |
| Edizione | [1st ed. 2017.] |
| Pubbl/distr/stampa | Pisa : , : Scuola Normale Superiore : , : Imprint : Edizioni della Normale, , 2017 |
| Descrizione fisica | 1 online resource (Approx. 250 p.) |
| Disciplina | 515.353 |
| Collana | Theses (Scuola Normale Superiore) |
| Soggetto topico |
Partial differential equations
Calculus of variations Geophysics Partial Differential Equations Calculus of Variations and Optimal Control; Optimization Geophysics and Environmental Physics |
| ISBN | 88-7642-607-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | An overview on flows of vector fields and on optimal transport -- Maximal regular flows for non-smooth vector fields -- Main properties of maximal regular flows and analysis of blow-up -- Lagrangian structure of transport equations -- The continuity equation with an integrable damping term -- Regularity results for very degenerate elliptic equations -- An excess-decay result for a class of degenerate elliptic equations -- The Vlasov-Poisson system -- The semigeostrophic system. . |
| Record Nr. | UNINA-9910254273703321 |
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Colombo Maria
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| Pisa : , : Scuola Normale Superiore : , : Imprint : Edizioni della Normale, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Formal Methods for Safety and Security [[electronic resource] ] : Case Studies for Aerospace Applications / / edited by Manju Nanda, Yogananda Jeppu
| Formal Methods for Safety and Security [[electronic resource] ] : Case Studies for Aerospace Applications / / edited by Manju Nanda, Yogananda Jeppu |
| Edizione | [1st ed. 2018.] |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (XII, 132 p. 42 illus., 24 illus. in color.) |
| Disciplina | 629.1 |
| Soggetto topico |
Aerospace engineering
Astronautics Calculus of variations Quality control Reliability Industrial safety Software engineering Aerospace Technology and Astronautics Calculus of Variations and Optimal Control; Optimization Quality Control, Reliability, Safety and Risk Software Engineering |
| ISBN | 981-10-4121-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910299571803321 |
| Singapore : , : Springer Singapore : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Foundations of Bilevel Programming [[electronic resource] /] / by Stephan Dempe
| Foundations of Bilevel Programming [[electronic resource] /] / by Stephan Dempe |
| Autore | Dempe Stephan |
| Pubbl/distr/stampa | Boston, MA : , : Springer US, , 2002 |
| Descrizione fisica | 1 online resource (VIII, 309 p.) |
| Disciplina | 515.64 |
| Collana | Nonconvex Optimization and Its Applications |
| Soggetto topico |
Mathematics
Operations research Decision making Mathematical optimization Calculus of variations Calculus of Variations and Optimal Control; Optimization Operation Research/Decision Theory Optimization |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-306-48045-X |
| Classificazione |
90C30
34-01 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Applications -- Linear Bilevel Problems -- Parametric Optimization -- Optimality Conditions -- Solution Algorithms -- Nonunique Lower Level Solution -- Discrete Bilevel Problems. |
| Record Nr. | UNINA-9910449967903321 |
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Dempe Stephan
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| Boston, MA : , : Springer US, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Foundations of Bilevel Programming [[electronic resource] /] / by Stephan Dempe
| Foundations of Bilevel Programming [[electronic resource] /] / by Stephan Dempe |
| Autore | Dempe Stephan |
| Pubbl/distr/stampa | Boston, MA : , : Springer US, , 2002 |
| Descrizione fisica | 1 online resource (VIII, 309 p.) |
| Disciplina | 515.64 |
| Collana | Nonconvex Optimization and Its Applications |
| Soggetto topico |
Mathematics
Operations research Decision making Mathematical optimization Calculus of variations Calculus of Variations and Optimal Control; Optimization Operation Research/Decision Theory Optimization |
| ISBN | 0-306-48045-X |
| Classificazione |
90C30
34-01 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Applications -- Linear Bilevel Problems -- Parametric Optimization -- Optimality Conditions -- Solution Algorithms -- Nonunique Lower Level Solution -- Discrete Bilevel Problems. |
| Record Nr. | UNINA-9910783382603321 |
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Dempe Stephan
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| Boston, MA : , : Springer US, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Foundations of Bilevel Programming [[electronic resource] /] / by Stephan Dempe
| Foundations of Bilevel Programming [[electronic resource] /] / by Stephan Dempe |
| Autore | Dempe Stephan |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Boston, MA : , : Springer US, , 2002 |
| Descrizione fisica | 1 online resource (VIII, 309 p.) |
| Disciplina | 515.64 |
| Collana | Nonconvex Optimization and Its Applications |
| Soggetto topico |
Mathematics
Operations research Decision making Mathematical optimization Calculus of variations Calculus of Variations and Optimal Control; Optimization Operation Research/Decision Theory Optimization |
| ISBN | 0-306-48045-X |
| Classificazione |
90C30
34-01 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Applications -- Linear Bilevel Problems -- Parametric Optimization -- Optimality Conditions -- Solution Algorithms -- Nonunique Lower Level Solution -- Discrete Bilevel Problems. |
| Record Nr. | UNINA-9910816166103321 |
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Dempe Stephan
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| Boston, MA : , : Springer US, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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