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Stability of Couette flow for 2D Boussinesq system without thermal diffusivity

Analysis of PDEs 2020-10-06 v1 Fluid Dynamics

Abstract

In this paper, we prove the stability of Couette flow for 2D Navier-Stokes Boussinesq system without thermal diffusivity for the initial perturbation in Gevrey-1s\frac{1}{s}, (1/3<s11/3<s\leq 1). The synergism of density mixing, vorticity mixing and velocity diffusion leads to the stability.

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Cite

@article{arxiv.2010.01612,
  title  = {Stability of Couette flow for 2D Boussinesq system without thermal diffusivity},
  author = {Nader Masmoudi and Belkacem Said-Houari and Weiren Zhao},
  journal= {arXiv preprint arXiv:2010.01612},
  year   = {2020}
}

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90 pages