Global strong solutions of a class of non-Newtonian fluids with small initial energy

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:474

Article

Yuan, Hongjun¹  Si, Xin¹  Feng, Zhaosheng² 

[1] Jilin Univ, Inst Math, Changchun 130012, Jilin, Peoples R China

[2] Univ Texas Rio Grande Valley, Sch Math & Stat Sci, Edinburg, TX 78539 USA

关键词: Strong solution;    Boundary value;    Non-Newtonian fluid;    Navier-Stokes equations;    A priori estimate;   

DOI  :  10.1016/j.jmaa.2019.01.033

来源: Elsevier

【 摘 要 】

In this paper, we are concerned with an initial boundary value problem for a class of non-Newtonian fluids. The viscosity term of momentum equation possesses singularity and nonlinearity, and the initial vacuum is allowed. The main feature which distinguishes this paper from other related works lies in the fact that we study the global strong solution of the compressible non-Newtonian fluids with singularity and vacuum in one-dimensional bounded intervals, and show that there exists a unique global-in-time strong solution to the problem while the initial energy is small. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free