On Well-Posedness of 2D Dissipative Quasi-Geostrophic Equation in Critical Mixed Norm Lebesgue Spaces

作     者：Tuoc Phan Yannick Sire Tuoc Phan;Yannick Sire

作者机构：Department of MathematicsUniversity of Tennessee227 Ayres Hall1403 Circle DriveKnoxvilleTN 37996-1320USA Department of MathematicsJohns Hopkins University404 Krieger Hall 3400 N.Charles StreetBaltimoreMD 21218USA 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2020年第36卷第2期

页      面：111-127页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the Simons Foundation grant#354889 

主　　题：Local well-posedness global well-posedness dissipative quasi-geostrophic equation fractional heat equation mixed-norm Lebesgue spaces 

摘      要：We establish local and global well-posedness of the 2D dissipative quasigeostrophic equation in critical mixed norm Lebesgue *** result demonstrates the persistence of the anisotropic behavior of the initial data under the evolution of the 2D dissipative quasi-geostrophic *** phenomenon is a priori nontrivial due to the nonlocal structure of the *** approach is based on Kato’s method using Picard’s interation,which can be apdated to the multi-dimensional case and other nonlinear non-local *** develop time decay estimates for solutions of fractional heat equation in mixed norm Lebesgue spaces that could be useful for other problems.