The Global Regularity for the 3D Continuously Stratified Inviscid Quasi-Geostrophic Equations

Chae Dongho

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The Global Regularity for the 3D Continuously Stratified Inviscid Quasi-Geostrophic Equations

机译：3D连续分层无粘性拟地转方程的整体正则性

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摘要

We prove the global well posedness of the continuously stratified inviscid quasi-geostrophic equations in R-3.

机译：我们证明了R-3中连续分层的无粘性准地转方程的整体适定性。

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《Journal of nonlinear science》 |2015年第4期|共8页
作者
Chae Dongho;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Stratified quasi-geostrophic equations; Global regularity; Bilinear estimate;

机译：分层准地转方程;整体正则性;双线性估计;

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1. 抛物型Monge—Ampere方程第一边值问题是粘性解的存在性，唯一性和正则性 [J] . 王柔怀, 王光烈东北数学：英文版 . 1992,第004期
2. The Global Regularity for the 3D Continuously Stratified Inviscid Quasi-Geostrophic Equations [J] . Chae Dongho Journal of nonlinear science . 2015,第4期

机译：3D连续分层无粘性拟地转方程的整体正则性
3. Higher-Order Global Regularity of an Inviscid Voigt-Regularization of the Three-Dimensional Inviscid Resistive Magnetohydrodynamic Equations [J] . Adam Larios, Edriss S. Titi Journal of mathematical fluid mechanics . 2014,第1期

机译：无粘性Voigt正则化的高阶全局正则化-三维无粘性电阻磁流体动力学方程
4. EXISTENCE AND REGULARITY OF ROTATING GLOBAL SOLUTIONS FOR THE GENERALIZED SURFACE QUASI-GEOSTROPHIC EQUATIONS [J] . Castro Angel, Cordoba Diego, Gomez-Serrano Javier Duke mathematical journal . 2016,第5期

机译：广义表面准地转方程旋转全局解的存在性和规律性
5. On the Inviscid Limit for the 2D Non-dissipative Quasi-geostrophic Equations [C] . Li Linrui, Wang Shu International Conference on Natural Computation;ICNC '09 . 2009

机译：二维非耗散拟地转方程的无粘性极限
6. Global regularity or finite time singularity of the surface quasi-geostrophic equations. [D] . Sharma, Ramjee Prasad. 2010

机译：地准准地层方程的整体正则性或有限时间奇异性。
7. An Osgood Type Regularity Criterion for the 3D Boussinesq Equations [O] . Qiang Wu, Lin Hu, Guili Liu -1

机译：3D Boussinesq方程的Osgood类型正则性准则
8. The global regularity for the 3D continuously stratified inviscid quasi-geostrophic equations [O] . Chae, Dongho 2015

机译：3D的全球规律性不断地对无粘性进行分层准地转方程

The Global Regularity for the 3D Continuously Stratified Inviscid Quasi-Geostrophic Equations

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