Multi-Dimensional Hyperbolic Partial Differential Equations : First-Order Systems and Applications

Sylvie Benzoni-Gavage

ISBN 10: 019921123X / ISBN 13: 9780199211234

Published by Oxford University Press (UK) Jan 2007, 2007

About this Item

Neuware - 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.

Seller Inventory # 9780199211234

Bibliographic Details

• Title: Multi-Dimensional Hyperbolic Partial Differential Equations : First-Order Systems and Applications
• Publisher: Oxford University Press (UK) Jan 2007
• Publication Date: 2007
• Language: English
• ISBN 10: 019921123X
• ISBN 13: 9780199211234
• Binding: Buch
• Condition: Neu

About this title

Synopsis

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.

About the Author

Sylvie Benzoni-Gavage is affiliated with the Université Claude Bernard Lyon I, France. Denis Serre is affiliated with ENS de Lyon, France.