对数超临界耗散的二维布森斯克-纳维尔-斯托克斯方程

IF 0.8 4区数学

数学研究 Pub Date : 2024-06-01 DOI:10.4208/jms.v57n1.24.06

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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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来源期刊

数学研究 MATHEMATICS-

自引率

0.00%

发文量

1109

期刊介绍： Journal of Mathematical Study (JMS) is a comprehensive mathematical journal published jointly by Global Science Press and Xiamen University. It publishes original research and survey papers, in English, of high scientific value in all major fields of mathematics, including pure mathematics, applied mathematics, operational research, and computational mathematics.