Durga Jang K.c., D. Regmi, Lizheng Tao null, Jiahong Wu
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引用次数: 3
摘要
本文研究了二维布森斯克-纳维尔-斯托克斯方程初值问题的全局好求性，该方程的耗散由算子 L 给出，算子 L 可通过积分核和傅立叶乘法器定义。当 L 的符号用|ξ| a(|ξ|) 表示时，对于任意 σ > 0，满足 lim|ξ|→∞ a(|ξ|) |ξ|σ = 0 的条件，我们就得到了全局完好性。一个特殊的结果是当耗散为对数超临界时的全局良好性。
The 2D Boussinesq-Navier-Stokes Equations with Logarithmically Supercritical Dissipation
This paper studies the global well-posedness of the initial-value problem for the 2D Boussinesq-Navier-Stokes equations with dissipation given by an operator L that can be defined through both an integral kernel and a Fourier multiplier. When the symbol of L is represented by |ξ| a(|ξ|) with a satisfying lim|ξ|→∞ a(|ξ|) |ξ|σ = 0 for any σ > 0, we obtain the global well-posedness. A special consequence is the global well-posedness when the dissipation is logarithmically supercritical.
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