TIME-PERIODIC SOLUTION TO A THREE-PHASE MODEL OF VISCOELASTIC FLUID FLOW

DU Chengxin; Liu Changchun; Mei Ming

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TIME-PERIODIC SOLUTION TO A THREE-PHASE MODEL OF VISCOELASTIC FLUID FLOW

机译：TIME-PERIODIC SOLUTION TO A THREE-PHASE MODEL OF VISCOELASTIC FLUID FLOW

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摘要

This paper is concerned with a three-phase model of viscoelastic fluid flow in RN for N >= 5. We first prove the existence of the time-periodic solution to the integral system in the space of BC(R; LN,infinity(S2)). Then we further show the existence, uniqueness and regularity of the mild solution of the problem. Finally we confirm that such a mild solution is a strong solution in the space of BC(R; LN,infinity(S2)). The proof is based on the compactness analysis with some new development, where a new estimate scheme is artfully constructed.

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来源
《Discrete and continuous dynamical systems》 |2023年第1期|276-308|共33页
作者
DU Chengxin; Liu Changchun; Mei Ming;
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作者单位

Jilin Univ;

Champlain Coll St Lambert;

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正文语种英语
中图分类理论力学（一般力学）;
关键词
Three-phase model of visco-elastic fluid flow; time periodic solution; mild solution; integral equation; WELL-POSEDNESS; STOKES SYSTEM; CHEMOTAXIS; EQUATION;

TIME-PERIODIC SOLUTION TO A THREE-PHASE MODEL OF VISCOELASTIC FLUID FLOW

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