Almost exponential decay of the Boussinesq equations without surface tension on the upper free boundary

In this paper, we prove the global existence and almost exponential decay of solutions for a Boussinesq approximation Bénard convection fluid. Compared with our previous paper [B. Guo, B. Xie, and L. Zeng, J. Differ. Equations 267, 2261–2283 (2019)], here the effect of the surface tension is neglect...

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Bibliographic Details
Published in:Journal of mathematical physics 2021-04, Vol.62 (4)
Main Authors: Xie, Binqiang, Zeng, Lan
Format: Article
Language:English
Subjects:
Boussinesq approximation
Decay
Free boundaries
Free surfaces
Mathematical analysis
Physics
Surface tension
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Summary:In this paper, we prove the global existence and almost exponential decay of solutions for a Boussinesq approximation Bénard convection fluid. Compared with our previous paper [B. Guo, B. Xie, and L. Zeng, J. Differ. Equations 267, 2261–2283 (2019)], here the effect of the surface tension is neglected on the free surface. The analysis needs more higher regularity than the surface tension case.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0033706