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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 2021Show all

6 papers · 1 filter

math.AP2021★ 6 cited

Decay properties and asymptotic behaviors for a wave equation with general strong damping

Wenhui Chen, Ryo Ikehata

In this paper, we study the Cauchy problem for a wave equation with general strong damping motivated by [Tao, Anal. PDE (2009)] and [Ebert-Girardi-Reissig, Math. Ann.…

math.AP2021★ 12 cited

The Cauchy problem for the nonlinear viscous Boussinesq equation in the framework

Wenhui Chen, Tuan Anh Dao

In this paper, we study the viscous Boussinesq equation in the whole space , which describes the propagation of small amplitude and long waves on the surface of water…

math.AP2021★ 9 cited

On the critical exponent and sharp lifespan estimates for semilinear damped wave equations with data from Sobolev spaces of negative order

Wenhui Chen, Michael Reissig

We study semilinear damped wave equations with power nonlinearity and initial data belonging to Sobolev spaces of negative order . In the present paper, we ob…

math.AP2021★ 1 cited

On the Cauchy problem for acoustic waves in hereditary fluids: decay properties and inviscid limits

Wenhui Chen

This manuscript considers the viscous/inviscid Moore-Gibson-Thompson (MGT) equations with memory of type I in the whole space . For one thing, associating with a new…

math.AP2021★ 7 cited

Some asymptotic profiles for the viscous Moore-Gibson-Thompson equation in the framework

Wenhui Chen, Junying Gong

This manuscript studies some qualitative properties of solutions to the Cauchy problem for the viscous Moore-Gibson-Thompson (MGT) equation. For one thing, by applying the WKB anal…

math.AP2021★ 3 cited

Asymptotic behaviors for Blackstock's model of thermoviscous flow

Wenhui Chen, Ryo Ikehata, Alessandro Palmieri

We study a fundamental model in nonlinear acoustics, precisely, the general Blackstock's model (that is, without Becker's assumption) in the whole space . This model…