Global well-posedness for the critical 2D dissipative quasi-geostrophic equation

Kiselev A; Nazarov F; Volberg A

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Global well-posedness for the critical 2D dissipative quasi-geostrophic equation

机译：关键二维耗散拟地转方程的整体适定性

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摘要

We give an elementary proof of the global well-posedness for the critical 2D dissipative quasi-geostrophic equation. The argument is based on a non-local maximum principle involving appropriate moduli of continuity.

机译：我们给出了关键的二维耗散准地转方程的整体适定性的基本证明。该论点基于涉及适当连续性模量的非局部最大值原理。

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来源
《Inventiones Mathematicae》 |2007年第3期|共9页
作者
Kiselev A; Nazarov F; Volberg A;
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正文语种 eng
中图分类数学;
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专利

1. Global well-posedness for the 2D critical dissipative quasi-geostrophic equation [J] . Zhi-fei ZHANG Science in China . 2007,第4期

机译：二维临界耗散拟地转方程的整体适定性
2. Global well-posedness of the 2D critical dissipative quasi-geostrophic equation in the Triebel-Lizorkin spaces [J] . Chen QL, Zhang ZF Nonlinear Analysis: An International Multidisciplinary Journal . 2007,第6期

机译：Triebel-Lizorkin空间中二维临界耗散准地转方程的整体适定性
3. Global well-posedness for the critical 2D dissipative quasi-geostrophic equation [J] . A. Kiselev, F. Nazarov, A. Volberg Inventiones mathematicae . 2007,第3期

机译：关键二维耗散拟地转方程的整体适定性
4. 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
5. Global well-posedness and parametrices for critical Maxwell-Dirac and massive Maxwell-Klein-Gordon equations with small Sobolev data [D] . Gavrus, Cristian Dan. 2017

机译：具有小SOBOLEV数据的临界麦克斯韦尔 - DIRAC和MASHWELWELL-KLEIN-GORNON方程的全球良好的姿势和参数
6. On the geometry of solutions of the quasi-geostrophic and Euler equations [O] . Diego Cordoba 1997

机译：拟地转方程和欧拉方程的解的几何
7. Global well-posedness for a Modified 2D dissipative quasi-geostrophic equation with initial data in the critical Sobolev space $H^1$ [O] . May, Ramzi 2009

机译：改进的二维耗散准地转角的全局适定性在关键sobolev空间中的初始数据的等式$ H ^ 1 $

Global well-posedness for the critical 2D dissipative quasi-geostrophic equation

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