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Global regularity for 2D water waves with surface tension / / Alexandru D. Ionescu, Fabio Pusateri
| Global regularity for 2D water waves with surface tension / / Alexandru D. Ionescu, Fabio Pusateri |
| Autore | Ionescu Alexandru D. |
| Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2018] |
| Descrizione fisica | 1 online resource (v, 123 pages) |
| Disciplina | 531.1133015118 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Waves - Mathematical models
Water waves - Mathematical models |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-4917-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480226703321 |
Ionescu Alexandru D.
|
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| Providence, RI : , : American Mathematical Society, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Global regularity for 2D water waves with surface tension / / Alexandru D. Ionescu, Fabio Pusateri
| Global regularity for 2D water waves with surface tension / / Alexandru D. Ionescu, Fabio Pusateri |
| Autore | Ionescu Alexandru D. |
| Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2018] |
| Descrizione fisica | 1 online resource (v, 123 pages) |
| Disciplina | 531.1133015118 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Waves - Mathematical models
Water waves - Mathematical models |
| ISBN | 1-4704-4917-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910793321603321 |
|
Ionescu Alexandru D.
|
||
| Providence, RI : , : American Mathematical Society, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Global regularity for 2D water waves with surface tension / / Alexandru D. Ionescu, Fabio Pusateri
| Global regularity for 2D water waves with surface tension / / Alexandru D. Ionescu, Fabio Pusateri |
| Autore | Ionescu Alexandru D. |
| Pubbl/distr/stampa | Providence, RI : , : American Mathematical Society, , [2018] |
| Descrizione fisica | 1 online resource (v, 123 pages) |
| Disciplina | 531.1133015118 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Waves - Mathematical models
Water waves - Mathematical models |
| ISBN | 1-4704-4917-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910817565803321 |
|
Ionescu Alexandru D.
|
||
| Providence, RI : , : American Mathematical Society, , [2018] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Wave phenomena : mathematical analysis and numerical approximation / / Willy Dörfler [and five others]
| Wave phenomena : mathematical analysis and numerical approximation / / Willy Dörfler [and five others] |
| Autore | Dörfler Willy |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2023] |
| Descrizione fisica | 1 online resource (368 pages) |
| Disciplina | 531.1133015118 |
| Collana | Oberwolfach Seminars |
| Soggetto topico | Waves - Mathematical models |
| ISBN | 3-031-05793-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Space-time approximations for linear acoustic, elastic, and electro-magnetic wave equations -- Local wellposedness and long-time behavior of quasilinear Maxwell equations -- Error analysis of second-order time integration methods for discontinuous Galerkin discretizations of Friedrichs’ systems -- An abstract framework for inverse wave problems with applications. |
| Record Nr. | UNINA-9910686777903321 |
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Dörfler Willy
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| Cham, Switzerland : , : Springer, , [2023] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Waves in flows / / Tomáš Bodnár, Giovanni P. Galdi, Šárka Nečasová, editors
| Waves in flows / / Tomáš Bodnár, Giovanni P. Galdi, Šárka Nečasová, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (362 pages) |
| Disciplina | 531.1133015118 |
| Collana | Advances in mathematical fluid mechanics |
| Soggetto topico |
Waves - Mathematical models
Fluid dynamics - Mathematical models Ones Models matemàtics Dinàmica de fluids |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-67845-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 A Priori Estimates from First Principles in Gas Dynamics -- 1.1 Introduction -- 1.2 Compensated Integrability -- 1.2.1 Evolution Problems -- A Homogeneous Estimate -- Integrating in Time First -- 1.3 Applications to Gas Dynamics (I): Euler Equations -- 1.3.1 Euler Equations for a Compressible Inviscid Fluid -- 1.3.2 Why Do We Care? -- 1.3.3 Estimating the Velocity Field -- 1.3.4 Flows in a Bounded Domain -- 1.3.5 Relativistic Gas -- 1.3.6 Flows with External Force -- 1.4 Applications (II): Kinetic Models -- 1.4.1 Boltzmann-Like Models -- The Cauchy Problem -- An Extra Estimate for Boltzmann-Like Equations -- 1.4.2 What Should a Dissipative Model Be? -- 1.4.3 Discrete Velocity Models -- 1.5 Applications (III): Mean-Field Models -- 1.5.1 Vlasov-Type Models -- 1.5.2 The DPT of a Single Vlasov-Type Equation -- 1.5.3 Genuine Plasmas -- 1.6 Applications (IV): Molecular Dynamics -- 1.6.1 Mass-Momentum Tensor of a Single Particle -- 1.6.2 Long-Range Forces -- 1.6.3 Hard Spheres -- References -- 2 Equatorial Wave-Current Interactions -- 2.1 Introduction -- 2.2 Preliminaries -- 2.3 The Equatorial f-Plane Approximation -- 2.4 The Equatorial β-Plane Approximation -- 2.5 An Exact β-Plane Solution (Equatorially Trapped Wave) -- 2.5.1 Analysis of the Equatorially Trapped Wave Motion -- 2.5.2 Quantitative Aspects -- 2.6 The Ocean Flow in the Equatorial Pacific -- 2.6.1 The El Niño Phenomenon -- 2.6.2 A Model for the Equatorial Currents -- 2.6.3 Equatorial Wave-Current Interactions -- 2.6.4 Linear Wave Theory -- 2.6.5 Weakly Nonlinear Models -- References -- 3 Linear and Nonlinear Equatorial Waves in a Simple Modelof the Atmosphere -- 3.1 Introduction -- 3.2 Linear Equatorial Waves -- 3.3 Weakly Nonlinear Long Equatorial Waves -- 3.3.1 Long Linear Rossby and Kelvin Waves -- 3.3.2 Nonlinear Slow Dynamics of Long Waves.
3.4 Equatorial Modons -- 3.5 Equatorial Adjustment: Initial-Value Problem on the Equatorial Beta-Plane -- 3.6 Brief Summary and Discussion -- References -- 4 The Water Wave Problem and Hamiltonian TransformationTheory -- 4.1 Introduction -- 4.2 Water Waves and Hamiltonian PDEs -- 4.2.1 Physical Derivation of the Governing Equations -- 4.2.2 General Notions on Hamiltonian Systems -- 4.2.3 Examples of Hamiltonian PDEs -- Quasilinear Wave Equation -- Boussinesq System -- Korteweg-de Vries Equation -- Nonlinear Schrödinger Equation -- 4.2.4 Zakharov's Hamiltonian for Water Waves -- 4.3 Dirichlet-Neumann Operator and Its Analysis -- 4.3.1 Legendre Transform -- 4.3.2 Shape Derivative of H -- 4.3.3 Invariants of Motion -- 4.3.4 Taylor Expansion of G -- 4.4 Birkhoff Normal Forms -- 4.4.1 Significance of the Normal Form -- 4.4.2 Complex Symplectic Coordinates and Poisson Brackets -- 4.4.3 Resonances -- 4.4.4 FormalTransformationTheoryandBirkhoffNormalForm -- 4.4.5 Solving the Third-Order Cohomological Equation -- 4.4.6 Normal Forms for Gravity Waves on Infinite Depth -- Third-Order Normal Form and Burgers' Equation -- Fourth-Order Normal Form -- Integrable Birkhoff Normal Form -- 4.5 Model Equations for Water Waves -- 4.5.1 Linearized Problem -- 4.5.2 Non-dimensionalization -- 4.5.3 Canonical Transformation Theory -- 4.5.4 Calculus of Transformations -- Amplitude Scaling -- Spatial Scaling -- Surface Elevation-Velocity Coordinates -- Moving Reference Frame -- Characteristic Coordinates -- 4.5.5 Boussinesq and KdV Scaling Limits -- 4.5.6 Modulational Scaling Limit and the NLS Equation -- Normal Form Transformation -- Modulational Ansatz -- Expansion and Homogenization of Multiscale Functions -- NLS Equation -- Reconstruction of the Free Surface -- 4.6 Initial Value Problems -- 4.6.1 Local Well-Posedness. 4.6.2 Recent Results on Global Well-Posedness for Small Data -- 4.6.3 Water Waves in a Periodic Geometry -- 4.7 Numerical Simulation of Surface Gravity Waves -- 4.7.1 Tanaka's Method for Solitary Waves -- 4.7.2 High-Order Spectral Method -- Space Discretization -- Time Integration -- 4.7.3 Collision of Solitary Waves -- References -- 5 Gravity Wave Propagation in Inhomogeneous Media -- 5.1 Introduction -- 5.2 Water Waves -- 5.2.1 Propagation on Uneven Bottoms: First Order StokesWaves -- 5.2.2 Second Order Stokes Waves -- 5.2.3 Propagation in the Presence of Current or Through Porous Media -- Propagation in the Presence of Current -- Propagation Through Porous Media -- 5.3 Wave Scattering: 2D Case -- 5.3.1 Standing Wave in a Tank: Resonance and Sloshing -- 5.3.2 Case of Smooth Bathymetries: Sinusoidal Beds -- Perturbation Method with Multiple-scale Expansion for Sinusoidal Beds of Finite Extend -- Mild-Slope and Modified Mild-Slope Equations -- 5.3.3 Case of Abrupt Bathymetries -- General Expression of the Velocity Potentials -- Integral Matching Conditions Method -- 5.3.4 Examples -- Sloping Beds -- Sinusoidal Beds -- Reflection Due to Structures -- 5.4 Water Focusing: 3D Case -- 5.4.1 Refraction-Snell-Descartes' Law -- 5.4.2 Refraction-Diffraction -- 5.4.3 Diffraction -- Analytic Solution: Semi-Infinite Dike -- Channels of Finite Width -- 5.4.4 Examples -- Wave Scattering in the Presence of Underwater Mound -- Wave Scattering by Surface Piercing Structures -- Wave Scattering by Emerging Porous Media -- 5.5 Application to Wave Energy Device -- 5.5.1 Oscillating Water Column -- 5.5.2 Pressure Oscillation -- References -- 6 Physical Models for Flow: Acoustic Interaction -- 6.1 Introduction -- 6.2 Fluid Dynamics -- 6.2.1 Conservation Equations -- Conservation of Mass -- Conservation of Momentum -- Conservation of Energy -- 6.2.2 Constitutive Equations. 6.2.3 Characterization of Flows by Dimensionless Numbers -- 6.2.4 Vorticity -- 6.2.5 Towards Acoustics -- Formulation for Scalar Potential -- Formulation for Vector Potential -- 6.3 Acoustics -- 6.3.1 Wave Equation -- 6.3.2 Simple Solutions: d'Alembert -- 6.3.3 Impulsive Sound Sources -- 6.3.4 Free-Space Green's Functions -- 6.3.5 Monopoles, Dipoles, and Quadrupoles -- 6.3.6 Calculation of Acoustic Far Field -- 6.3.7 Compactness -- 6.3.8 Solution of Wave Equation Using Green's Function -- 6.4 Aeroacoustics -- 6.4.1 Lighthill's Acoustic Analogy -- 6.4.2 Curle's Theory -- 6.4.3 Vortex Sound -- 6.4.4 Perturbation Equations -- 6.4.5 Comparison of Different Formulations -- 6.4.6 Acoustic Feedback Mechanisms -- 6.5 Applications -- Coupling strategy of flow and acoustics -- Fluid dynamics -- Acoustics -- Conclusions of workflow -- 6.5.1 Human Phonation -- 6.5.2 Axial Fan -- 6.5.3 Cavity at Low Mach Number schoder2020numerical -- 6.5.4 Cavity at High Mach Number -- Appendix -- References. |
| Record Nr. | UNISA-996466395103316 |
| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Waves in flows / / Tomáš Bodnár, Giovanni P. Galdi, Šárka Nečasová, editors
| Waves in flows / / Tomáš Bodnár, Giovanni P. Galdi, Šárka Nečasová, editors |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (362 pages) |
| Disciplina | 531.1133015118 |
| Collana | Advances in mathematical fluid mechanics |
| Soggetto topico |
Waves - Mathematical models
Fluid dynamics - Mathematical models Ones Models matemàtics Dinàmica de fluids |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-67845-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 A Priori Estimates from First Principles in Gas Dynamics -- 1.1 Introduction -- 1.2 Compensated Integrability -- 1.2.1 Evolution Problems -- A Homogeneous Estimate -- Integrating in Time First -- 1.3 Applications to Gas Dynamics (I): Euler Equations -- 1.3.1 Euler Equations for a Compressible Inviscid Fluid -- 1.3.2 Why Do We Care? -- 1.3.3 Estimating the Velocity Field -- 1.3.4 Flows in a Bounded Domain -- 1.3.5 Relativistic Gas -- 1.3.6 Flows with External Force -- 1.4 Applications (II): Kinetic Models -- 1.4.1 Boltzmann-Like Models -- The Cauchy Problem -- An Extra Estimate for Boltzmann-Like Equations -- 1.4.2 What Should a Dissipative Model Be? -- 1.4.3 Discrete Velocity Models -- 1.5 Applications (III): Mean-Field Models -- 1.5.1 Vlasov-Type Models -- 1.5.2 The DPT of a Single Vlasov-Type Equation -- 1.5.3 Genuine Plasmas -- 1.6 Applications (IV): Molecular Dynamics -- 1.6.1 Mass-Momentum Tensor of a Single Particle -- 1.6.2 Long-Range Forces -- 1.6.3 Hard Spheres -- References -- 2 Equatorial Wave-Current Interactions -- 2.1 Introduction -- 2.2 Preliminaries -- 2.3 The Equatorial f-Plane Approximation -- 2.4 The Equatorial β-Plane Approximation -- 2.5 An Exact β-Plane Solution (Equatorially Trapped Wave) -- 2.5.1 Analysis of the Equatorially Trapped Wave Motion -- 2.5.2 Quantitative Aspects -- 2.6 The Ocean Flow in the Equatorial Pacific -- 2.6.1 The El Niño Phenomenon -- 2.6.2 A Model for the Equatorial Currents -- 2.6.3 Equatorial Wave-Current Interactions -- 2.6.4 Linear Wave Theory -- 2.6.5 Weakly Nonlinear Models -- References -- 3 Linear and Nonlinear Equatorial Waves in a Simple Modelof the Atmosphere -- 3.1 Introduction -- 3.2 Linear Equatorial Waves -- 3.3 Weakly Nonlinear Long Equatorial Waves -- 3.3.1 Long Linear Rossby and Kelvin Waves -- 3.3.2 Nonlinear Slow Dynamics of Long Waves.
3.4 Equatorial Modons -- 3.5 Equatorial Adjustment: Initial-Value Problem on the Equatorial Beta-Plane -- 3.6 Brief Summary and Discussion -- References -- 4 The Water Wave Problem and Hamiltonian TransformationTheory -- 4.1 Introduction -- 4.2 Water Waves and Hamiltonian PDEs -- 4.2.1 Physical Derivation of the Governing Equations -- 4.2.2 General Notions on Hamiltonian Systems -- 4.2.3 Examples of Hamiltonian PDEs -- Quasilinear Wave Equation -- Boussinesq System -- Korteweg-de Vries Equation -- Nonlinear Schrödinger Equation -- 4.2.4 Zakharov's Hamiltonian for Water Waves -- 4.3 Dirichlet-Neumann Operator and Its Analysis -- 4.3.1 Legendre Transform -- 4.3.2 Shape Derivative of H -- 4.3.3 Invariants of Motion -- 4.3.4 Taylor Expansion of G -- 4.4 Birkhoff Normal Forms -- 4.4.1 Significance of the Normal Form -- 4.4.2 Complex Symplectic Coordinates and Poisson Brackets -- 4.4.3 Resonances -- 4.4.4 FormalTransformationTheoryandBirkhoffNormalForm -- 4.4.5 Solving the Third-Order Cohomological Equation -- 4.4.6 Normal Forms for Gravity Waves on Infinite Depth -- Third-Order Normal Form and Burgers' Equation -- Fourth-Order Normal Form -- Integrable Birkhoff Normal Form -- 4.5 Model Equations for Water Waves -- 4.5.1 Linearized Problem -- 4.5.2 Non-dimensionalization -- 4.5.3 Canonical Transformation Theory -- 4.5.4 Calculus of Transformations -- Amplitude Scaling -- Spatial Scaling -- Surface Elevation-Velocity Coordinates -- Moving Reference Frame -- Characteristic Coordinates -- 4.5.5 Boussinesq and KdV Scaling Limits -- 4.5.6 Modulational Scaling Limit and the NLS Equation -- Normal Form Transformation -- Modulational Ansatz -- Expansion and Homogenization of Multiscale Functions -- NLS Equation -- Reconstruction of the Free Surface -- 4.6 Initial Value Problems -- 4.6.1 Local Well-Posedness. 4.6.2 Recent Results on Global Well-Posedness for Small Data -- 4.6.3 Water Waves in a Periodic Geometry -- 4.7 Numerical Simulation of Surface Gravity Waves -- 4.7.1 Tanaka's Method for Solitary Waves -- 4.7.2 High-Order Spectral Method -- Space Discretization -- Time Integration -- 4.7.3 Collision of Solitary Waves -- References -- 5 Gravity Wave Propagation in Inhomogeneous Media -- 5.1 Introduction -- 5.2 Water Waves -- 5.2.1 Propagation on Uneven Bottoms: First Order StokesWaves -- 5.2.2 Second Order Stokes Waves -- 5.2.3 Propagation in the Presence of Current or Through Porous Media -- Propagation in the Presence of Current -- Propagation Through Porous Media -- 5.3 Wave Scattering: 2D Case -- 5.3.1 Standing Wave in a Tank: Resonance and Sloshing -- 5.3.2 Case of Smooth Bathymetries: Sinusoidal Beds -- Perturbation Method with Multiple-scale Expansion for Sinusoidal Beds of Finite Extend -- Mild-Slope and Modified Mild-Slope Equations -- 5.3.3 Case of Abrupt Bathymetries -- General Expression of the Velocity Potentials -- Integral Matching Conditions Method -- 5.3.4 Examples -- Sloping Beds -- Sinusoidal Beds -- Reflection Due to Structures -- 5.4 Water Focusing: 3D Case -- 5.4.1 Refraction-Snell-Descartes' Law -- 5.4.2 Refraction-Diffraction -- 5.4.3 Diffraction -- Analytic Solution: Semi-Infinite Dike -- Channels of Finite Width -- 5.4.4 Examples -- Wave Scattering in the Presence of Underwater Mound -- Wave Scattering by Surface Piercing Structures -- Wave Scattering by Emerging Porous Media -- 5.5 Application to Wave Energy Device -- 5.5.1 Oscillating Water Column -- 5.5.2 Pressure Oscillation -- References -- 6 Physical Models for Flow: Acoustic Interaction -- 6.1 Introduction -- 6.2 Fluid Dynamics -- 6.2.1 Conservation Equations -- Conservation of Mass -- Conservation of Momentum -- Conservation of Energy -- 6.2.2 Constitutive Equations. 6.2.3 Characterization of Flows by Dimensionless Numbers -- 6.2.4 Vorticity -- 6.2.5 Towards Acoustics -- Formulation for Scalar Potential -- Formulation for Vector Potential -- 6.3 Acoustics -- 6.3.1 Wave Equation -- 6.3.2 Simple Solutions: d'Alembert -- 6.3.3 Impulsive Sound Sources -- 6.3.4 Free-Space Green's Functions -- 6.3.5 Monopoles, Dipoles, and Quadrupoles -- 6.3.6 Calculation of Acoustic Far Field -- 6.3.7 Compactness -- 6.3.8 Solution of Wave Equation Using Green's Function -- 6.4 Aeroacoustics -- 6.4.1 Lighthill's Acoustic Analogy -- 6.4.2 Curle's Theory -- 6.4.3 Vortex Sound -- 6.4.4 Perturbation Equations -- 6.4.5 Comparison of Different Formulations -- 6.4.6 Acoustic Feedback Mechanisms -- 6.5 Applications -- Coupling strategy of flow and acoustics -- Fluid dynamics -- Acoustics -- Conclusions of workflow -- 6.5.1 Human Phonation -- 6.5.2 Axial Fan -- 6.5.3 Cavity at Low Mach Number schoder2020numerical -- 6.5.4 Cavity at High Mach Number -- Appendix -- References. |
| Record Nr. | UNINA-9910483168103321 |
| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||