2021
DOI: 10.48550/arxiv.2106.06194
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On the Cauchy problem for acoustic waves in hereditary fluids: decay properties and inviscid limits

Wenhui Chen

Abstract: In this paper, we investigate some qualitative properties of solutions to the Moore-Gibson-Thompson (MGT) equation and the Jordan-MGT (JMGT) equation with memory of type I in the whole space R n , which are the fundamental models for acoustic waves in relaxing hereditary fluids. First of all, we study sharp estimates of solutions to the viscous and inviscid MGT equation with memory, where regularity-loss decay properties appear in the inviscid case. Then, not only formal expansion of solution with respect to t… Show more

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