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Multi-dimensional hyperbolic partial differential equations
Sylvie Benzoni-GavageDenis Serre
其他書名
First-order systems and applications
出版OUP Oxford, 2006-11-23
主題Mathematics / Differential Equations / GeneralMathematics / AppliedScience / Mechanics / Fluids
ISBN01915141879780191514180
URLhttp://books.google.com.hk/books?id=RwVREAAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.