Strong Solution for a Nonlinear Non-Newtonian Shear Thickening Fluid

被引：0

作者：

Song, Yukun ^{[1
]}

Jin, Lin ^{[1
]}

Chen, Yang ^{[1
]}

机构：

[1] Liaoning Univ Technol, Coll Sci, Jinzhou 121001, Peoples R China

来源：

MATHEMATICS | 2025年 / 13卷 / 05期

基金：

中国国家自然科学基金;

关键词：

nonlinear; compressible; shear thickening fluid; non-Newtonian; NAVIER-STOKES EQUATIONS; BOUNDARY-VALUE-PROBLEM; WEAK SOLUTIONS; EXISTENCE; UNIQUENESS;

D O I：

10.3390/math13050878

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper consider a nonlinear shear thickening fluid in one dimensional bounded interval. The model illustrates that the movement of the compressible fluid is driven by non-Newtonian gravity, and represents a more realistic phenomenon. The well-posedness of strong solution was proved by considering the influence of damping term. The essential difficulty lies in the equation's significant nonlinearity and the initial state may allow for vacuum.

引用

页数：18

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