In this paper we study the decay of solutions to parabolic conservationlaws in the Hardy space H1... more In this paper we study the decay of solutions to parabolic conservationlaws in the Hardy space H1and in the total variation norm.We show that solutions to scalar equations and systems decay to zerowithout a rate in H1, and that the total variation of solutions decaysto zero at an algebraic rate.1 IntroductionScalar parabolic conservation laws and systems of equations of this kind arisein continuum mechanics where they serve as models for elastic solids and idealgases. This...
In this paper we study the decay of solutions to parabolic conservationlaws in the Hardy space H1... more In this paper we study the decay of solutions to parabolic conservationlaws in the Hardy space H1and in the total variation norm.We show that solutions to scalar equations and systems decay to zerowithout a rate in H1, and that the total variation of solutions decaysto zero at an algebraic rate.1 IntroductionScalar parabolic conservation laws and systems of equations of this kind arisein continuum mechanics where they serve as models for elastic solids and idealgases. This...
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