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- W4382399919 abstract "This paper is concerned with the logarithmically improved regularity criterion in terms of the middle eigenvalue of the strain tensor to the 3D Boussinesq equations in Besov spaces with negative indices. It is shown that a weak solution is regular on $ (0, T] $ provided that$ begin{align*} int_{0}^{T}frac{leftVert lambda _{2}^{+}(cdot , t)rightVert _{dot{B} _{infty , infty }^{-delta }}^{frac{2}{2-delta }}}{ln (e+leftVert u(cdot , t)rightVert _{dot{B}_{infty , infty }^{-delta }})}dt<infty . end{align*} $for some $ 0<delta <1 $. As a consequence, this result is some improvements of recent works [11,12] established by Neustupa-Penel and Miller." @default.
- W4382399919 created "2023-06-29" @default.
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- W4382399919 date "2023-01-01" @default.
- W4382399919 modified "2023-10-01" @default.
- W4382399919 title "A new regularity criterion for the 3D incompressible Boussinesq equations in terms of the middle eigenvalue of the strain tensor in the homogeneous Besov spaces with negative indices" @default.
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- W4382399919 doi "https://doi.org/10.3934/eect.2023032" @default.
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