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Nonlinear Conservation Laws, Fluid Systems and Related Topics [[electronic resource]]
| Nonlinear Conservation Laws, Fluid Systems and Related Topics [[electronic resource]] |
| Pubbl/distr/stampa | Singapore, : World Scientific Publishing Company, 2009 |
| Descrizione fisica | 1 online resource (401 p.) |
| Disciplina | 532.00151 |
| Collana | Series in Contemporary Applied Mathematics, 13 |
| Soggetto topico |
Conservation laws (Mathematics)
Fluid dynamics -- Mathematics Nonlinear theories Fluid dynamics - Mathematics Engineering & Applied Sciences Applied Physics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-44317-8
9786612443176 981-4273-28-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Thomas Y. Hou, Xinwei Yu: Introduction to the Theory of Incompressible Inviscid Flows; 1 Introduction; 2 Derivation and exact solutions; 3 Local well-posedness of the 3D Euler equation; 4 The BKM blow-up criterion; 5 Recent global existence results; 6 Lower dimensional models for the 3D Euler equations; 7 Vortex patch; References; Denis Serre: Systems of Conservation Laws. Theory, Numerical Approximation and Discrete Shock Profiles.; 1 Hyperbolic systems of conservation laws; 2 Finite difference schemes; 3 Discrete shock profiles; References
Seiji Ukai, Tong Yang: Kinetic Theory and Conservation Laws: An Introduction.Abstract; 1 Introduction; 2 Expansions and their unification; 3 Detour to hyperbolic conservation laws; 4 Spectral analysis on the linearized Boltzmann operator; 5 Global existence and convergence rates; References; Xiaoming Wang: Elementary Statistical Theories with Applications to Fluid Systems.; 1 Introduction; 2 Stationary statistics; 3 Remarks on time dependent statistics; Appendix: some useful theorems; References; Yuxi Zheng: The Compressible Euler System in Two Space Dimensions.; Introduction 1 Physical phenomena and mathematical problems2 Characteristic decomposition of the pseudo-steady case; 3 The hodograph transformation and the interaction of rarefaction waves; Appendix B: convertibility; 4 Local solutions for quasilinear systems; 5 Invariant regions for systems; 6 The pressure gradient system; 7 Open problems; Epilogue: Stories; References |
| Record Nr. | UNINA-9910456704603321 |
| Singapore, : World Scientific Publishing Company, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Nonlinear Conservation Laws, Fluid Systems and Related Topics [[electronic resource]]
| Nonlinear Conservation Laws, Fluid Systems and Related Topics [[electronic resource]] |
| Pubbl/distr/stampa | Singapore, : World Scientific Publishing Company, 2009 |
| Descrizione fisica | 1 online resource (401 p.) |
| Disciplina | 532.00151 |
| Collana | Series in Contemporary Applied Mathematics, 13 |
| Soggetto topico |
Conservation laws (Mathematics)
Fluid dynamics -- Mathematics Nonlinear theories Fluid dynamics - Mathematics Engineering & Applied Sciences Applied Physics |
| ISBN |
1-282-44317-8
9786612443176 981-4273-28-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Thomas Y. Hou, Xinwei Yu: Introduction to the Theory of Incompressible Inviscid Flows; 1 Introduction; 2 Derivation and exact solutions; 3 Local well-posedness of the 3D Euler equation; 4 The BKM blow-up criterion; 5 Recent global existence results; 6 Lower dimensional models for the 3D Euler equations; 7 Vortex patch; References; Denis Serre: Systems of Conservation Laws. Theory, Numerical Approximation and Discrete Shock Profiles.; 1 Hyperbolic systems of conservation laws; 2 Finite difference schemes; 3 Discrete shock profiles; References
Seiji Ukai, Tong Yang: Kinetic Theory and Conservation Laws: An Introduction.Abstract; 1 Introduction; 2 Expansions and their unification; 3 Detour to hyperbolic conservation laws; 4 Spectral analysis on the linearized Boltzmann operator; 5 Global existence and convergence rates; References; Xiaoming Wang: Elementary Statistical Theories with Applications to Fluid Systems.; 1 Introduction; 2 Stationary statistics; 3 Remarks on time dependent statistics; Appendix: some useful theorems; References; Yuxi Zheng: The Compressible Euler System in Two Space Dimensions.; Introduction 1 Physical phenomena and mathematical problems2 Characteristic decomposition of the pseudo-steady case; 3 The hodograph transformation and the interaction of rarefaction waves; Appendix B: convertibility; 4 Local solutions for quasilinear systems; 5 Invariant regions for systems; 6 The pressure gradient system; 7 Open problems; Epilogue: Stories; References |
| Record Nr. | UNINA-9910781088703321 |
| Singapore, : World Scientific Publishing Company, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Nonlinear Conservation Laws, Fluid Systems and Related Topics [[electronic resource]]
| Nonlinear Conservation Laws, Fluid Systems and Related Topics [[electronic resource]] |
| Pubbl/distr/stampa | Singapore, : World Scientific Publishing Company, 2009 |
| Descrizione fisica | 1 online resource (401 p.) |
| Disciplina | 532.00151 |
| Collana | Series in Contemporary Applied Mathematics, 13 |
| Soggetto topico |
Conservation laws (Mathematics)
Fluid dynamics -- Mathematics Nonlinear theories Fluid dynamics - Mathematics Engineering & Applied Sciences Applied Physics |
| ISBN |
1-282-44317-8
9786612443176 981-4273-28-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Thomas Y. Hou, Xinwei Yu: Introduction to the Theory of Incompressible Inviscid Flows; 1 Introduction; 2 Derivation and exact solutions; 3 Local well-posedness of the 3D Euler equation; 4 The BKM blow-up criterion; 5 Recent global existence results; 6 Lower dimensional models for the 3D Euler equations; 7 Vortex patch; References; Denis Serre: Systems of Conservation Laws. Theory, Numerical Approximation and Discrete Shock Profiles.; 1 Hyperbolic systems of conservation laws; 2 Finite difference schemes; 3 Discrete shock profiles; References
Seiji Ukai, Tong Yang: Kinetic Theory and Conservation Laws: An Introduction.Abstract; 1 Introduction; 2 Expansions and their unification; 3 Detour to hyperbolic conservation laws; 4 Spectral analysis on the linearized Boltzmann operator; 5 Global existence and convergence rates; References; Xiaoming Wang: Elementary Statistical Theories with Applications to Fluid Systems.; 1 Introduction; 2 Stationary statistics; 3 Remarks on time dependent statistics; Appendix: some useful theorems; References; Yuxi Zheng: The Compressible Euler System in Two Space Dimensions.; Introduction 1 Physical phenomena and mathematical problems2 Characteristic decomposition of the pseudo-steady case; 3 The hodograph transformation and the interaction of rarefaction waves; Appendix B: convertibility; 4 Local solutions for quasilinear systems; 5 Invariant regions for systems; 6 The pressure gradient system; 7 Open problems; Epilogue: Stories; References |
| Record Nr. | UNINA-9910823899703321 |
| Singapore, : World Scientific Publishing Company, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Visualization of Fields and Applications in Engineering [[electronic resource]]
| Visualization of Fields and Applications in Engineering [[electronic resource]] |
| Autore | Tou Stephen |
| Pubbl/distr/stampa | Chicester, : Wiley, 2011 |
| Descrizione fisica | 1 online resource (384 p.) |
| Disciplina |
620.001/51
620.00151 |
| Soggetto topico |
Electromagnetic fields - Mathematical models
Electromagnetic fields -- Mathematical models Engineering mathematics Fluid dynamics - Mathematics Fluid dynamics -- Mathematics Gravitational waves - Mathematical models Gravitational waves -- Mathematical models. Information visualization Information visualization TECHNOLOGY & ENGINEERING / Imaging Systems Engineering mathematics - Mathematics Fluid dynamics - Mathematical models Gravitational waves Engineering & Applied Sciences Applied Mathematics |
| ISBN |
1-283-23957-4
9786613239570 0-470-97826-0 0-470-97825-2 |
| Classificazione | TEC015000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Visualization of Fields and Applications in Engineering; Contents; Preface; 1 Introduction; 1.1 A General View; 1.2 Historical Development and Progress in Visual Science; 1.3 Scientific Visualization Philosophy, Techniques and Challenges; 2 Field Descriptions and Kinematics; 2.1 Lagrangian/Eulerian Description and Transformation; 2.2 Curvilinear Coordinates; 2.2.1 Polar Coordinate; 2.2.2 Streamline (Flux Line) Coordinates; 2.2.3 Potential-Stream Function Coordinates; 2.3 Field Kinematics and Visual Attributes; 2.3.1 Field Line Trajectory; 2.3.2 Field Line Integral Curves
2.3.3 Field Lines, Material Lines and Path Lines2.3.4 Streamlines (Flux Lines); 3 Field Model, Representation and Visualization; 3.1 Field Models and Concepts; 3.2 Scalar Fields and Representation; 3.3 Vector Fields and Representation; 3.4 Vector Icons and Classifications; 3.4.1 Classification Based on Domain Configurations; 3.4.2 Classification Based on Information Levels; 3.4.3 Classification Based on Topological Skeleton; 3.5 Scalar Potential; 3.6 Vector Potential; 3.7 Vector Field Specification; 3.7.1 Helmholtz's Theorem; 3.8 Tensor Contraction and Transport Process Visualization 3.8.1 Mechanical Energy Function and Heatfunction3.8.2 Strain Energy Trajectory and Strain Function; 3.9 Multiple Fields; 4 Complex Analysis and Complex Potentials; 4.1 Complex Variables/Functions and Applications; 4.2 Complex Analysis and Cauchy-Riemann Equation; 4.3 Differentiation of Complex Function; 4.4 Integration of Complex Functions; 4.5 Visualization of Complex Potentials; 4.5.1 Trajectory Method; 4.5.2 Method of Curvilinear Squares; 4.5.3 Transfer Characteristics and Field Property Evaluation; 4.6 Example 4.1a Visualization of Heat and Fluid Transport in a Corner 5 Field Mapping and Applications 5.1 Introduction; 5.2 Mapping of Euclidean Geometry; 5.2.1 Congruent Mapping; 5.2.2 Similitude Mapping; 5.2.3 Affine Mapping; 5.3 Inversion Mapping; 5.3.1 Circle Inversion; 5.4 Mapping with Complex Functions; 5.5 Conformal Mapping and Applications; 5.6 Hodograph Method and Mapping; 5.6.1 Conjugate Hodograph; 5.6.2 Hodograph; 5.7 Hodograph Representations and Applications; 5.7.1 Straight Boundaries; 5.7.2 Free Surface; 5.7.3 Special Field Patterns; 5.7.4 Projectile Trajectory in Constant Force Fields; 5.7.5 Motion Trajectory in Central Force Fields 5.7.6 Trajectory of Charged Particles in Uniform Magnetic Fields5.8 Example 4.1b Mapping of Field Patterns and Image Warping; 6 Tensor Representation, Contraction and Visualization; 6.1 Introduction; 6.2 Development of Tensor Visualization Techniques; 6.2.1 Mohr's Circle; 6.2.2 Tensor Field Line Trajectories (Lines of Principal Stress); 6.2.3 Isochromatics; 6.2.4 Isoclines; 6.2.5 Stress Trajectories; 6.2.6 Slip Lines; 6.2.7 Isopachs; 6.3 Tensor Description and Representation; 6.3.1 Tensor Icons and Classification; 6.4 Tensor Decomposition and Tensor Rank Reduction 6.4.1 Strain Tensor and Stress Tensor |
| Record Nr. | UNINA-9910131025303321 |
Tou Stephen
|
||
| Chicester, : Wiley, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Visualization of Fields and Applications in Engineering [[electronic resource]]
| Visualization of Fields and Applications in Engineering [[electronic resource]] |
| Autore | Tou Stephen |
| Pubbl/distr/stampa | Chicester, : Wiley, 2011 |
| Descrizione fisica | 1 online resource (384 p.) |
| Disciplina |
620.001/51
620.00151 |
| Soggetto topico |
Electromagnetic fields - Mathematical models
Electromagnetic fields -- Mathematical models Engineering mathematics Fluid dynamics - Mathematics Fluid dynamics -- Mathematics Gravitational waves - Mathematical models Gravitational waves -- Mathematical models. Information visualization Information visualization TECHNOLOGY & ENGINEERING / Imaging Systems Engineering mathematics - Mathematics Fluid dynamics - Mathematical models Gravitational waves Engineering & Applied Sciences Applied Mathematics |
| ISBN |
1-283-23957-4
9786613239570 0-470-97826-0 0-470-97825-2 |
| Classificazione | TEC015000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Visualization of Fields and Applications in Engineering; Contents; Preface; 1 Introduction; 1.1 A General View; 1.2 Historical Development and Progress in Visual Science; 1.3 Scientific Visualization Philosophy, Techniques and Challenges; 2 Field Descriptions and Kinematics; 2.1 Lagrangian/Eulerian Description and Transformation; 2.2 Curvilinear Coordinates; 2.2.1 Polar Coordinate; 2.2.2 Streamline (Flux Line) Coordinates; 2.2.3 Potential-Stream Function Coordinates; 2.3 Field Kinematics and Visual Attributes; 2.3.1 Field Line Trajectory; 2.3.2 Field Line Integral Curves
2.3.3 Field Lines, Material Lines and Path Lines2.3.4 Streamlines (Flux Lines); 3 Field Model, Representation and Visualization; 3.1 Field Models and Concepts; 3.2 Scalar Fields and Representation; 3.3 Vector Fields and Representation; 3.4 Vector Icons and Classifications; 3.4.1 Classification Based on Domain Configurations; 3.4.2 Classification Based on Information Levels; 3.4.3 Classification Based on Topological Skeleton; 3.5 Scalar Potential; 3.6 Vector Potential; 3.7 Vector Field Specification; 3.7.1 Helmholtz's Theorem; 3.8 Tensor Contraction and Transport Process Visualization 3.8.1 Mechanical Energy Function and Heatfunction3.8.2 Strain Energy Trajectory and Strain Function; 3.9 Multiple Fields; 4 Complex Analysis and Complex Potentials; 4.1 Complex Variables/Functions and Applications; 4.2 Complex Analysis and Cauchy-Riemann Equation; 4.3 Differentiation of Complex Function; 4.4 Integration of Complex Functions; 4.5 Visualization of Complex Potentials; 4.5.1 Trajectory Method; 4.5.2 Method of Curvilinear Squares; 4.5.3 Transfer Characteristics and Field Property Evaluation; 4.6 Example 4.1a Visualization of Heat and Fluid Transport in a Corner 5 Field Mapping and Applications 5.1 Introduction; 5.2 Mapping of Euclidean Geometry; 5.2.1 Congruent Mapping; 5.2.2 Similitude Mapping; 5.2.3 Affine Mapping; 5.3 Inversion Mapping; 5.3.1 Circle Inversion; 5.4 Mapping with Complex Functions; 5.5 Conformal Mapping and Applications; 5.6 Hodograph Method and Mapping; 5.6.1 Conjugate Hodograph; 5.6.2 Hodograph; 5.7 Hodograph Representations and Applications; 5.7.1 Straight Boundaries; 5.7.2 Free Surface; 5.7.3 Special Field Patterns; 5.7.4 Projectile Trajectory in Constant Force Fields; 5.7.5 Motion Trajectory in Central Force Fields 5.7.6 Trajectory of Charged Particles in Uniform Magnetic Fields5.8 Example 4.1b Mapping of Field Patterns and Image Warping; 6 Tensor Representation, Contraction and Visualization; 6.1 Introduction; 6.2 Development of Tensor Visualization Techniques; 6.2.1 Mohr's Circle; 6.2.2 Tensor Field Line Trajectories (Lines of Principal Stress); 6.2.3 Isochromatics; 6.2.4 Isoclines; 6.2.5 Stress Trajectories; 6.2.6 Slip Lines; 6.2.7 Isopachs; 6.3 Tensor Description and Representation; 6.3.1 Tensor Icons and Classification; 6.4 Tensor Decomposition and Tensor Rank Reduction 6.4.1 Strain Tensor and Stress Tensor |
| Record Nr. | UNINA-9910807997103321 |
|
Tou Stephen
|
||
| Chicester, : Wiley, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
