Redistribution of damping in hyperbolic systems of conservation laws

Constantine M. Dafermos

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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DOI: http://dx.doi.org/10.1478/AAPP.91S1A7

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