Multi-dimensional hyperbolic partial differential equations: First-order systems and applications - Rilegato

Benzoni-Gavage, Sylvie; Serre, Denis

Rilegato

ISBN 10: 019921123X ISBN 13: 9780199211234

Casa editrice: OUP Oxford, 2006

Riassunto

Authored by leading scholars, this comprehensive, self-contained text presents a view of the state of the art in multi-dimensional hyperbolic partial differential equations, with a particular emphasis on problems in which modern tools of analysis have proved useful. Ordered in sections of gradually increasing degrees of difficulty, the text first covers linear Cauchy problems and linear initial boundary value problems, before moving on to nonlinear problems, including shock waves. The book finishes with a discussion of the application of hyperbolic PDEs to gas dynamics, culminating with the shock wave analysis for real fluids.

With an extensive bibliography including classical and recent papers both in PDE analysis and in applications (mainly to gas dynamics), this text will be valuable to graduates and researchers in both hyperbolic PDEs and compressible fluid dynamics.

Su questo libro

Recensione

With an extensive bibliography including classical and recent papers both in PDE analysis and in applications (mainly to gas dynamics), this text will be valuable to graduates and researchers in both hyperbolic PDEs and compressible fluid dynamics. (L'enseignement Mathematique)

Contenuti

• Preface
• Introduction
• Notations
• The linear Cauchy problem
• 1: Linear Cauchy problem with constant coefficients
• 2: Linear Cauchy problem with variable coefficients
• The linear initial boundary value problem
• 3: Friedrichs symmetric dissipative IBVPs
• 4: Initial boundary value problem in a half-space with constant coefficients
• 5: Construction of a symmetrizer under (UKL)
• 6: The characteristic IBVP
• 7: The homogeneous IBVP
• 8: A classification of linear IBVPs
• 9: Variable coefficients initial boundary value problems
• Nonlinear problems
• 10: The Cauchy problem for quasilinear systems
• 11: The mixed problem for quasilinear systems
• 12: Persistence of multidimensional shocks
• Applications to gas dynamics
• 13: The Euler equations for real fluids
• 14: Boundary conditions for Euler equations
• 15: Shock stability in gas dynamics
• Appendix
• A: Basic calculus results
• B: Fourier and Laplace analysis
• C: Pseudo/para-differential calculus
• Bibliography
• Index

Dettagli dell?edizione

• Editore: OUP Oxford
• Data di pubblicazione: 2006
• Lingua: Inglese
• ISBN 10: 019921123X
• ISBN 13: 9780199211234
• Rilegatura: Copertina rigida
• Numero di pagine: 536
• Contatto del produttore: non disponibile
• Persona responsabile: Ufficio Anagrafiche Messaggerie; ufficio.anagrafiche@meli.it; ; Via Verdi, 8.; Assago Milano; 20090; Italia