Hyperbolic Conservation Laws in Continuum Physics (eBook, PDF)
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This is a lucid and authoritative exposition of the mathematical theory of hyperbolic system laws, intended for readers familiar with the qualitative theory or partial differential equations. The 2nd edition contains a new chapter recounting exciting recent developments on the vanishing viscosity method. Numerous new sections have been incorporated in preexisting chapters, to introduce newly derived results and amplify older material. A substantial portion of the original text has been reorganized so as to streamline the exposition, enrich the collection of examples and improve the notation. T...
This is a lucid and authoritative exposition of the mathematical theory of hyperbolic system laws, intended for readers familiar with the qualitative theory or partial differential equations. The 2nd edition contains a new chapter recounting exciting recent developments on the vanishing viscosity method. Numerous new sections have been incorporated in preexisting chapters, to introduce newly derived results and amplify older material. A substantial portion of the original text has been reorganized so as to streamline the exposition, enrich the collection of examples and improve the notation. The bibliography has been updated and expanded, now comprising over one thousand titles.
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