节点文献
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
【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.
【Abstract】 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;
【Key words】 non-Newtonian fluid; strong solution; a priori estimate; long time behavior;
【Key words】 non-Newtonian fluid; strong solution; a priori estimate; long time behavior;
- 【文献出处】 吉林大学学报(理学版) ,Journal of Jilin University(Science Edition) , 编辑部邮箱 ,2020年03期
- 【分类号】O175
- 【下载频次】43