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

被引：2
|
作者：
DU, Chengxin [1 ]
Liu, Changchun [1 ]
Mei, Ming [2 ,3 ]
机构：
[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China
[2] Champlain Coll St Lambert, Dept Math, Quebec City, PQ J4P 3P2, Canada
[3] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2023年 / 43卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Three-phase model of visco-elastic fluid flow; time periodic solution; mild solution; integral equation; WELL-POSEDNESS; STOKES SYSTEM; CHEMOTAXIS; EQUATION;
D O I：
10.3934/dcds.2022149
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页码：276 / 308
页数：33
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