关于Boussinesq方程组无粘极限的研究

Abstract

Abstract:

In this paper, we investigate the inviscid limit of the 3D viscous Boussinesq equations with slip boundary condition. We establish the local well-posedness of the strong solutions for initial boundary value problems for such systems. Furthermore, we establish the vanishing viscosity limit process and obtain a strong rate of convergence as the boundary of the domain is flat. In addition, the key observation is that the boundary term as $θ$ can be estimated by the part of high order of energy through the trace formula.

Key words: Boussinesq equations, Vanishing viscosity limit, Slip boundary conditions

CLC Number:

O175.2

Lianhong Guo. Research on the Inviscid Limit for Boussinesq Equations[J].Acta mathematica scientia,Series A, 2021, 41(1): 91-99.

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References 24

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Research on the Inviscid Limit for Boussinesq Equations

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