Multi-dimensional hyperbolic partial differential equations : First-order systems and applications (Oxford Mathematical Monographs)

Benzoni-Gavage, Sylvie/ Serre, Denis

Oxford University Press（2006/11発売）

• 製本 Hardcover:ハードカバー版／ページ数 536 p.
• 言語 ENG
• 商品コード 9780199211234
• DDC分類 515.3535

Full Description

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.

Contents

THE LINEAR CAUCHY PROBLEM; THE LINEAR INITIAL BOUNDARY VALUE PROBLEM; NONLINEAR PROBLEMS; APPLICATIONS TO GAS DYNAMICS; APPENDIX