| THE ZERO LIMIT OF THERMAL DIFFUSIVITY FOR THE 2D DENSITY-DEPENDENT BOUSSINESQ EQUATIONS |
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| 作者姓名： | 叶霞 徐艳霞 王泽佳 |
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| 作者单位： | School of Mathematics and Statistics, Jiangxi Normal University |
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| 基金项目： | supported by the National Natural Science Foundation of China (12061037, 11971209)；;the Natural Science Foundation of Jiangxi Province (20212BAB201016)；;supported by National Natural Science Foundation of China (11861038)； |
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| 摘 要： | This paper is concerned with the asymptotic behavior of solutions to the initial boundary problem of the two-dimensional density-dependent Boussinesq equations.It is shown that the solutions of the Boussinesq equations converge to those of zero thermal diffusivity Boussinesq equations as the thermal diffusivity tends to zero,and the convergence rate is established.In addition,we prove that the boundary-layer thickness is of the valueδ(k)=kα with any α∈(0,1/4) for a small diffusivity c...
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