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
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.