具有奇性与真空粘性依赖于密度的非牛顿流局部强解的存在唯一性  

Existence of solutions for a class of non-Newtonian fluids with density-dependent viscosity, singularity and vacuum

作　　者：张蕊[1] 方莉[1] 

机构地区：[1]西北大学数学学院,陕西西安710127

出　　处：《纯粹数学与应用数学》2015年第1期97-110,共14页Pure and Applied Mathematics

基　　金：陕西省科技计划项目(2012JQ020)

摘　　要：研究一维有界区间上粘性依赖于密度且具有奇性、初始允许真空的可压缩非牛顿流.通过正则化奇性项以及逐步迭代构造初边值问题的逼近解,对逼近解取极限得到其局部强解的存在唯一性,进一步推广了相关文献中关于非牛顿流解的存在性结果.This paper aims to discuss existence and uniqueness of local strong solutions for a class of compressible non-Newtonian fluids with density-dependent viscosity, singularity and vacuum in one-dimensional bounded intervals. By regularizing the viscosity term with singlarity and iterating step by step, we construct the approximate solutions and prove the existence and uniqueness of the local strong solution. Furthermore, we extend the existence results in relative references for non-Newtonian fluids.

关 键 词：可压缩非牛顿流 局部强解 粘性依赖于密度 

分 类 号：O175.2[理学—数学]