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二维耗散准地转方程在Lorentz空间的正则性准则

Regularity criteria in Lorentz spaces for the two dimensional quasi-geostrophic equation with dissipation
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摘要 考虑二维耗散准地转方程解的正则性.通过在Lorentz空间上推广一个改进的Gronwall型引理,同时借助于Lorentz空间的插值,并结合二维耗散准地转方程解的能量估计,得到了其在时空型Lorentz空间的新爆破准则,精炼了之前的相关结果. In this paper,the regularity of solutions to the two dimensional quasi-geostrophic equation with dissipation is studied.By generalizing an improved Gronwall-type lemma in Lorentz spaces,combining interpolation of Lorentz spaces with energy estimates,we derive some new regularity criteria for the aforementioned equation,which allow both the space-time directions of the temperature gradient to be in Lorentz spaces.This refines the previous corresponding results.
作者 魏巍 王艳青 WEI Wei;WANG Yanqing(School of Mathematics,Northwest University,Xi′an 710127,China;College of Mathematics and Information Science,Zhengzhou University of Light Industry,Zhengzhou 450002,China)
机构地区 西北大学数学学院 郑州轻工业大学数学与信息科学学院
出处 《纯粹数学与应用数学》 2023年第4期542-553,共12页 Pure and Applied Mathematics
基金 国家自然科学基金(11601423,12271433)。
关键词 准地转方程 正则性 LORENTZ空间 quasi-geostrophic equation regularity Lorentz spaces
分类号 O175.29 [理学—基础数学]
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纯粹数学与应用数学
2023年 第4期

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