Uniform decay rates for parabolic conservation laws. (English) Zbl 0617.35060
Optimal uniform rates for parabolic conservation laws are established. The decay rates are in \(L^ p\) and \(L^{\infty}\) for the scalar equation, respectively in \(H^ m\) and \(L^{\infty}\) for the periodic case.
Reviewer: J.Schönenberger-Deuel
MSC:
| 35K55 | Nonlinear parabolic equations |
| 35B45 | A priori estimates in context of PDEs |
| 74A15 | Thermodynamics in solid mechanics |
Keywords:
Cauchy problem; elastic solids; ideal gases; periodic solutions; entropy inequality; parabolic conservation laws; decay rates; scalar equationReferences:
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