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20182026
most citedThe Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case

84 citations · 440 across the 50 of their papers we have counts for

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Showing 2022Show all

6 papers · 1 filter

math.AP2022

Some remarks on large-time behaviors for the linearized compressible Navier-Stokes equations

Wenhui Chen, Ryo Ikehata

In this paper, we consider the linearized compressible Navier-Stokes equations in the whole space . Concerning initial datum with suitable regularities, we introduce…

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★ 5 cited

Large-time asymptotic behaviors for the classical thermoelastic system

Wenhui Chen, Hiroshi Takeda

In this paper, we study the classical thermoelastic system with Fourier's law of heat conduction in the whole space when , particularly, asymptotic profiles…

math.AP2022★ 1 cited

Large-time asymptotic behaviors for linear Blackstock's model of thermoviscous flow

Wenhui Chen, Hiroshi Takeda

In the classical theory of acoustic waves, Blackstock's model was proposed in 1963 to characterize the propagation of sound in thermoviscous fluids. In this paper, we investigate l…

math.AP2022★ 16 cited

Asymptotic behaviors for the Jordan-Moore-Gibson-Thompson equation in the viscous case

Wenhui Chen, Hiroshi Takeda

In this paper, we study large-time behaviors for a fundamental model in nonlinear acoustics, precisely, the viscous Jordan-Moore-Gibson-Thompson (JMGT) equation in the whole space…

math.AP2022★ 7 cited

Optimal large-time estimates and singular limits for thermoelastic plate equations with the Fourier law

Wenhui Chen, Ryo Ikehata

In this paper, we study asymptotic behaviors for classical thermoelastic plate equations with the Fourier law of heat conduction in the whole space , where we introdu…