Existence and uniqueness of strong solutions for a class of compressible non-Newtonian fluids with singularity

被引:0
|
作者
Wucai Yang
Qiu Meng
Yuanyuan Zhao
机构
[1] Beihua University,School of Mathematics and Statistics
来源
Ricerche di Matematica | 2023年 / 72卷
关键词
Singularity; Vacuum; Newtonian potential; Existence and uniqueness;
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学科分类号
摘要
In this paper, the purpose is to discuss the existence and uniqueness of local solutions for a class of singular compressible non-Newtonian flows in one-dimensional bounded interval. The first difficulty is that the equation itself is singular and the initial condition is allowed to be vacuumed. The other is that the viscosity term and Newtonian potential term are completely nonlinear.
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页码:423 / 442
页数:19
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