On the boundedness of the global solution of anisotropic quasi-geostrophic equations in Sobolev space

被引：0

作者：

Amara, Mustapha ^{[1
]}

机构：

[1] Fac Sci Gabes, Dept Math, Res Lab Math & Applicat, Gabes LR17ES11, Tunisia

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 08期

关键词：

Surface quasi-geostrophic equation; Anisotropic dissipation; Global regularity; REGULARITY;

D O I：

10.1007/s12215-022-00851-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show that the global solution of the surface anisotropic two-dimensional quasi-geostrophic equation with fractional horizontal dissipation and vertical thermal diffusion established by the author Ye in (Non-linearity 33(1): 72, 2019) is bounded in Sobolev spaces uniformly with respect to time.

引用

页码：3789 / 3800

页数：12

共 50 条

[11] Global existence of solutions for subcritical quasi-geostrophic equations
Ramzi, May
Ezzeddine, Zahrouni
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2008, 7 (05) : 1179 - 1191
[12] On the global regularity for the anisotropic dissipative surface quasi-geostrophic equation
Ye, Zhuan
NONLINEARITY, 2020, 33 (01) : 72 - 105
[13] DISSIPATIVE QUASI-GEOSTROPHIC EQUATIONS IN CRITICAL SOBOLEV SPACES: SMOOTHING EFFECT AND GLOBAL WELL-POSEDNESS
Dong, Hongjie
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2010, 26 (04) : 1197 - 1211
[14] ON NONTRADITIONAL QUASI-GEOSTROPHIC EQUATIONS
Lucas, Carine
McWilliams, James C.
Rousseau, Antoine
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2017, 51 (02): : 427 - 442
[15] GLOBAL REGULARITY FOR MODIFIED CRITICAL DISSIPATIVE QUASI-GEOSTROPHIC EQUATIONS
杨婉蓉
酒全森
ActaMathematicaScientia, 2014, 34 (06) : 1741 - 1748
[16] GLOBAL REGULARITY FOR MODIFIED CRITICAL DISSIPATIVE QUASI-GEOSTROPHIC EQUATIONS
Yang, Wanrong
Jiu, Quansen
ACTA MATHEMATICA SCIENTIA, 2014, 34 (06) : 1741 - 1748
[17] Dissipative quasi-geostrophic equation for large initial data in the critical Sobolev space
Miura, Hideyuki
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 267 (01) : 141 - 157
[18] Dissipative Quasi-Geostrophic Equation for Large Initial Data in the Critical Sobolev Space
Hideyuki Miura
Communications in Mathematical Physics, 2006, 267 : 141 - 157
[19] On the two dimensional quasi-geostrophic equations
Ju, N
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2005, 54 (03) : 897 - 926
[20] On dimension of the global attractor for 2D quasi-geostrophic equations
Wang, Ming
Tang, Yanbin
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (04) : 1887 - 1895

← 1 2 3 4 5 →