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. Dafermosiel sei die exponentiell mit der Zeit . abnehmende Menge . einer radioaktiven Substanz nach dem Zerfallsgesetz . = .... angeführt (.. ist die Substanzmenge zum Zeitpunkt . und . die Zerfallskonstante). Vor allem in biologischen Systemen ist es aber nicht immer gerechtfertigt, Ver?nderungen im Verlau

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The Initial-Value Problem: Admissibility of Solutions, Nonuniqueness of weak solutions will be demonstrated in the context of the simplest nonlinear scalar conservation law, the well-known Burgers equation. This raises the need to devise conditions that will weed out unstable, physically irrelevant, or otherwise undesirable solutions, hopefully singlin

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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 a

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