Existence and Uniqueness of Strong Solution for Shear Thickening Fluids of Second Grade

作     者：BOUSBIH Hafedh MAJDOUB Mohamed 

作者机构：Universite de Sousse Institut Superieur des Sciences Appliquees et de Technologie deSousse Cite Ibn Khaldoun Sousse 4003 Tunisie. Universite de Tunis El Manar Faculte des Sciences de Tunis LRO3ES04 Equationsaux derivees partielles et applications 2092 Tunis Tunisie. 

出 版 物：《Journal of Partial Differential Equations》 (偏微分方程（英文版）)

年 卷 期：2014年第27卷第2期

页      面：95-114页

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 081702[工学-化学工艺] 07[理学] 08[工学] 0817[工学-化学工程与技术] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

主　　题：增稠 剪切 周期性边界条件 强解 液体 广义二阶流体 解的存在性 运动方程 

摘      要：In this paper we study the equations governing the unsteady motion of an incompressible homogeneous generalized second grade fluid subject to periodic boundary conditions. We establish the existence of global-in-time strong solutions for shear thickening flows in the two and three dimensional case. We also prove uniqueness of such solution without any smallness condition on the initial data or restriction on the material moduli.