GLOBAL WELL-POSEDNESS OF THE 3D PRIMITIVE EQUATIONS WITH HORIZONTAL VISCOSITY AND VERTICAL DIFFUSIVITY II: CLOSE TO H1 INITIAL DATA

作     者：Cao, Chongsheng Li, Jinkai Titi, Edriss S. Wang, Dong 

作者机构：Department of Mathematics Florida International University University Park MiamiFL33199 United States South China Research Center for Applied Mathematics and Interdisciplinary Studies School of Mathematical Sciences South China Normal University Guangzhou510631 China Department of Mathematics Texas A&M University College StationTX77843 United States Department of Applied Mathematics and Theoretical Physics University of Cambridge CambridgeCB3 0WA United Kingdom Department of Computer Science and Applied Mathematics Weizmann Institute of Science Rehovot76100 Israel 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2024年

核心收录：

主　　题：Viscosity 

摘      要：MSC Codes 26D10, 35Q35, 35Q86, 76D03, 76D05, 86A05, 86A10In this paper, we consider the initial-boundary value problem to the three-dimensional primitive equations for the oceanic and atmospheric dynamics with only horizontal eddy viscosities in the horizontal momentum equations and only vertical diffusivity in the temperature equation in the domain Ω = M ×(−h, h), with M = (0, 1) × (0, 1). Global well-posedness of strong solutions is established, for any initial data (v0, T0) H1(Ω) ∩ L∞(Ω) with (∂zv0, ∇HT0) Lq(Ω) and v0L1z(Bq,21 (M)), for some q (2, ∞), by using delicate energy estimates and maximal regularity estimate in the anisotropic setting. Copyright © 2024, The Authors. All rights reserved.