Titlebook: Hyperbolic Conservation Laws in Continuum Physics; Constantine M. Dafermos Book 20001st edition Springer-Verlag Berlin Heidelberg 2000 Bou

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Constantine M. Dafermosdurch auftretenden Probleme, vor allem der Integration und Kommunikation, sollen mit Hilfe der Medizinischen Informatik bew?ltigt werden. Das Buch ist eine Erg?nzung der Vorlesung und der praktischen übungen. Sein Inhalt beschr?nkt sich daher im wesentlichen auf den Gegenstandskatalog für den Ersten

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清晰

https://doi.org/10.1007/978-3-662-22019-1Boundary value problem; Entropy; hyperbolic conservation laws; partial differential equation; partial di

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Springer-Verlag Berlin Heidelberg 2000

斷言

Hyperbolic Conservation Laws in Continuum Physics978-3-662-22019-1Series ISSN 0072-7830 Series E-ISSN 2196-9701

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The ,, Theory of the Scalar Conservation Law,ve, method of characteristics yields a sharper version of Theorem 5.1.1, determining explicitly the life span of solutions with Lipschitz continuous initial data and thereby demonstrating that in general this life span is finite. Thus one has to deal with weak solutions, even when the initial data are very smooth.

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Admissible Wave Fans and the Riemann Problem,lar solutions, which stay constant along straight-line rays emanating from some focal point in space-time. Such solutions depict a collection of waves converging to the focal point and interacting there to produce a jump discontinuity which is in turn resolved into an outgoing wave fan.

的闡明

Constantine M. DafermosThe author is unquestionably the greatest authority on the subject as well as a masterly writer.The book will immediately find a following as both an introduction to the field and a reference for rese