Hyperbolic balance laws with relaxation
Constantine M. Dafermos
This expository paper surveys the progress in a research program aiming at establishing the existence and long time behavior of $BV$ solutions to the Cauchy problem for hyperbolic systems of balance laws modeling relaxation phenomena.
keywords: heat flow. Hyperbolic balance laws relaxation viscoelasticity BV solutions
A variational approach to the Riemann problem for hyperbolic conservation laws
Constantine M. Dafermos
Within the framework of strictly hyperbolic systems of conservation laws endowed with a convex entropy, it is shown that the admissible solution to the Riemann problem is obtained by minimizing the entropy production over all wave fans with fixed end-states.
keywords: Hyperbolic conservation laws Entropy Riemann Problem

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