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20112025
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math.AP2023

Asymptotic behavior of solutions for the thermoviscous acoustic systems

Wenhui Chen, Yan Liu, Mengjun Ma +1

We study some asymptotic properties of solutions for the acoustic coupled systems in thermoviscous fluids which was proposed by [Karlsen-Bruus, \emph{Phys. Rev. E} (2015)]. Basing…

math.AP2022★ 2 cited

The influence of viscous dissipations on the nonlinear acoustic wave equation with second sound

Wenhui Chen, Yan Liu, Alessandro Palmieri +1

We study the effect of a viscous dissipation on the Cauchy problem for a Cattaneo-type model in nonlinear acoustics, established by applying the Lighthill approximation for the vis…

math.AP2022

A note on asymptotic profiles for the thermoelastic plate system

Wenhui Chen, Yan Liu

We investigate the Cauchy problem for the thermoelastic plate system associated with Newton's law of cooling, where optimal growth () or decay () estima…

math.AP2021★ 2 cited

Global well-posedness and inviscid limits of the generalized Oldroyd type models

Xiaoping Zhai, Yuanyuan Dan, Yongsheng Li

We obtain the global small solutions to the generalized Oldroyd-B model without damping on the stress tensor in . Our result give positive answers partially to the qu…

math.AP2020

Large time behavior for the hyperbolic-parabolic coupled system with the regularity-loss structure

Wenhui Chen, Yan Liu

This paper considers the hyperbolic-parabolic coupled system, arising from the generalized thermoelastic coupled system, in the whole space . We study some qualitativ…

math.AP2020★ 2 cited

Asymptotic profiles and singular limits for the viscoelastic damped wave equation with memory of type I

Wenhui Chen

In this paper, we are interested in the Cauchy problem for the viscoelastic damped wave equation with memory of type I. By applying WKB analysis and Fourier analysis, we explain th…