NAVIER-STOKES-OSEEN FLOWS IN THE EXTERIOR OF A ROTATING AND TRANSLATING OBSTACLE

被引：3

作者：

Trinh Viet Duoc ^{[1
,2
]}

机构：

[1] Vietnam Natl Univ, 334 Nguyen Trai, Hanoi, Vietnam

[2] Hanoi Univ Sci, Fac Math Mech & Informat, 334 Nguyen Trai, Hanoi, Vietnam

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 07期

关键词：

Bounded and almost periodic weak mild solutions; time-local mild solutions; Navier-Stokes-Oseen equation; Navier-Stokes equation; Oseen operator; rotating and translating obstacle; TIME-PERIODIC SOLUTIONS; WEAK SOLUTIONS; RIGID-BODY; EQUATIONS; EXISTENCE; DOMAINS; REGULARITY; UNIQUENESS; STABILITY; OPERATOR;

D O I：

10.3934/dcds.2018145

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate Navier-Stokes-Oseen equation describing flows of incompressible viscous fluid passing a translating and rotating obstacle. The existence, uniqueness, and polynomial stability of bounded and almost periodic weak mild solutions to Navier-Stokes-Oseen equation in the solenoidal Lorentz space L-sigma,w(3) are shown. Moreover, we also prove the unique existence of time-local mild solutions to this equation in the solenoidal Lorentz spaces L-alpha(3,q).

引用

页码：3387 / 3405

页数：19

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