一类非Newton流方程整体解的存在唯一性  

Existence and Uniqueness of Global Solutions for a Class of Non-Newtonian Fluid Equations

作　　者：徐建军 袁洪君[1] XU Jianjun;YUAN Hongjun(College of Mathematics,Jilin University,Changchun 130012,China)

机构地区：[1]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2020年第3期449-456,共8页Journal of Jilin University:Science Edition

摘　　要：在一维有界区间上考虑一类可压缩非Newton流体方程,在外力项相对较小的情形下,采用假设封闭、加权及能量估计的技巧得到先验估计,证明整体强解的存在唯一性,并给出解的长时间性态.We considered a class of compressible non-Newtonian fluid equations in one-dimensional bounded interval. Under the conditions that the external force term was relatively small, a priori estimates were given by the method of hypothesis closure, weighting and energy estimates. We proved the existence and uniqueness of the global strong solutions and gave the long time behavior of the solution.

关 键 词：非Newton流 强解 先验估计 长时间性态 

分 类 号：O175.8[理学—数学]