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Blowup Criterion via Only the Middle Eigenvalue of the Strain Tensor in Anisotropic Lebesgue Spaces to the 3D Double-Diffusive Convection Equations
Journal of Mathematical Fluid Mechanics ( IF 1.3 ) Pub Date : 2020-04-15 , DOI: 10.1007/s00021-020-0483-9
Fan Wu

In this paper, we consider the three-dimensional (3D) incompressible double-diffusive convection equations. By making use of a anisotropic Sobolev’s inequality, we obtain a blowup criterion for the strong solution to the 3D double-diffusive convection equations involving only the middle eigenvalue of the strain tensor in anisotropic Lebesgue spaces. This result improves a result established in a recent work by Miller (Arch Ration Mech Anal 235:99–139, 2019).

中文翻译:

各向异性Lebesgue空间中仅通过应变张量的中间特征值对3D双扩散对流方程的爆破判据

在本文中,我们考虑了三维(3D)不可压缩双扩散对流方程。通过利用各向异性的Sobolev不等式,我们得到了仅求解各向异性Lebesgue空间中仅包含应变张量的中间特征值的3D双扩散对流方程的强解的爆破判据。此结果改进了Miller在最近的工作中确立的结果(Arch Ration Mech Anal 235:99–139,2019)。
更新日期:2020-04-15
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