Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity

Stability of the Couette Flow for a 2D Boussinesq System Without Thermal Diffusivity
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DOI:
10.1007/s00205-022-01789-x
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发表时间:
2020-10
影响因子:
2.5
通讯作者:
N. Masmoudi;B. Said-Houari;Weiren Zhao
N. Masmoudi;B. Said-Houari;Weiren Zhao
中科院分区:
数学1区
文献类型:
--
作者:
N. Masmoudi;B. Said-Houari;Weiren Zhao

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在Gevrey-,()的初始扰动下,证明了二维Navier-Stokes Boussinesq系统的Couette流的稳定性。密度混合、涡量混合和速度扩散的协同作用导致了稳定性。
In this paper, we prove the stability of the Couette flow for a 2D Navier–Stokes Boussinesq system without thermal diffusivity for the initial perturbation in Gevrey-, (). The synergism of density mixing, vorticity mixing and velocity diffusion leads to the stability.