Redistribution of damping in hyperbolic systems of conservation laws

Authors

  • Constantine M. Dafermos Division of Applied Mathematics Brown University

DOI:

https://doi.org/10.1478/AAPP.91S1A7

Abstract

By a change of variables that redistributes damping among the equations of systems of balance laws in one space dimension, it is demonstrated that dissipation induced by friction, viscosity or other physical mechanism, manifested in the decay of “entropy” functionals of quadratic order, also controls the total variation of solutions.

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Published

2013-01-29

Issue

Vol 91, SUPPLEMENT NO 1 (2013): Advanced modelling in continuum mechanics

Section

Special issue in memory of Prof. Giovanni Crupi

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