高师理科学刊2026，Vol.46Issue(3)：17-27,11.DOI:10.3969/j.issn.1007-9831.2026.03.003
输运系数依赖于温度的可压缩微极流体解的整体存在性和渐近性
Global existence and asymptotic behavior of solution for compressible micropolar fluids with temperature dependent transport coefficients
李欣欣 1孙智颖 2黄兰1
作者信息
- 1. 华北水利水电大学 数学与统计学院,河南 郑州 450046
- 2. 郑州经贸学院 通识教育学院,河南 郑州 451191
- 折叠
摘要
Abstract
The well-posedness of solutions for compressible micropolar fluid under the assumptions of small initial data is analyzed.The uniform upper and lower bounds of the density and the temperature function are proved by using energy estimates and various interpolation inequalities when the viscosity coefficient and the thermal conductivity coefficient are dependent on the temperature.Furthermore,the global existence and the asymptotic behavior of solutions are obtained.关键词
微极流体/先验估计/渐近性/整体解Key words
micropolar fluid/priori estimate/asymptotic behavior/global solution分类
数理科学引用本文复制引用
李欣欣,孙智颖,黄兰..输运系数依赖于温度的可压缩微极流体解的整体存在性和渐近性[J].高师理科学刊,2026,46(3):17-27,11.
