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Navier-Stokes-Landau-Lifshitz方程组的正则性准则

Regularity criteria for the Navier-Stokes-Landau-Lifshitz

中文摘要英文摘要

在本文中, 我们研究了Navier-Stokes-Landau-Lifshitz 方程组正则性准则。利用精细的估计,得到了Navier-Stokes-Landau-Lifshitz 方程组的光滑解在Besov空间和乘子空间的正则性准则。Navier-Stokes-Landau-Lifshitz 方程组是Navier-Stokes方程和Landau-Lifshitz 方程组的耦合组, 我们的结果将Navier-Stokes方程和Landau-Lifshitz 方程组相关结果推广我们所研究的方程组。

In this paper, we study regularity criteria for the Navier-Stokes-Landau-Lifshitz system. Using delicate estimates, the regularity criteria for smooth solution of Navier-Stokes-Landau-Lifshitz system in Besov spaces and the multiplier spaces are obtained. The Navier-Stokes-Landau-Lifshitz system is coupled system of the Navier-Stokes equation and Landau-Lifshitz system, our results generalize the related results for Navier-Stokes equation and Landau-Lifshitz system to our system.

高洪俊、樊继山、郭柏灵

数学物理学

正则性准则Navier-Stokes-Landau-Lifshitz 方程组Besov空间乘子空间

regularity criterionNavier-Stokes-Landau-LifshitzBesov spacemultiplier space

高洪俊,樊继山,郭柏灵.Navier-Stokes-Landau-Lifshitz方程组的正则性准则[EB/OL].(2009-01-22)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/200901-1042.点此复制

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