2D Quasi-Geostrophic equation; sub-critical and critical cases

被引：3
|
作者：
Dlotko, Tomasz [1 ]
Sun, Chunyou [2 ]
机构：
[1] Polish Acad Sci, Inst Math, Sniadeckich 8, PL-00656 Warsaw, Poland
[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2017年 / 150卷
关键词：
Quasi-Geostrophic equation; Local and global solvability; Critical equation; DIFFUSION EQUATIONS; FRACTIONAL-POWERS; BOUNDARY-PROBLEMS; REGULARITY; OPERATORS;
D O I：
10.1016/j.na.2016.11.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our task here is to use a version of the 'vanishing viscosity technique' to study the critical 2D Quasi-Geostrophic equation. The present paper extends and specializes the results reported in Dlotko et al. (2015). We treat now in more detail the solutions of the critical problem (alpha = 1/2); in particular their uniqueness, regularity and long time behavior. (C) 2016 Elsevier Ltd. All rights reserved.
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页码：38 / 60
页数：23
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