This book 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.
|Print publication date: 2006||Print ISBN-13: 9780199211234|
|Published to Oxford Scholarship Online: September 2007||DOI:10.1093/acprof:oso/9780199211234.001.0001|