EXISTENCE AND UNIQUENESS OF TIME-PERIODIC SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN THE WHOLE PLANE

被引：24

作者：

Galdi, Giovanni P. ^{[1
]}

机构：

[1] Univ Pittsburgh, Dept Mech Engn & Mat Sci, Pittsburgh, PA 15261 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2013年 / 6卷 / 05期

基金：

美国国家科学基金会;

关键词：

Navier-Stokes equations; time-periodic solutions; plane flow; STEADY-STATE OSEEN; UNBOUNDED-DOMAINS; SIMPLE PROOF; BODY; FORCE; SPACE;

D O I：

10.3934/dcdss.2013.6.1237

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the two-dimensional motion of a Navier-Stokes liquid in the whole plane, under the action of a time-periodic body force F of period T, and tending to a prescribed nonzero constant velocity at infinity. We show that if the magnitude of F, in suitable norm, is sufficiently small, there exists one and only one corresponding time-periodic flow of period T in an appropriate function class.

引用

页码：1237 / 1257

页数：21

共 20 条

[1]

[Anonymous], 1958, B MATH SOC SCI MATH

[2]

Galdi GP, 2011, SPRINGER MONOGR MATH, P1, DOI 10.1007/978-0-387-09620-9

[3]

Galdi GP, 2013, P AM MATH SOC, V141, P1313

[4]

Galdi GP, 2013, P AM MATH SOC, V141, P573

[5] On the Motion of a Rigid Body in a Navier-Stokes Liquid under the Action of a Time-Periodic Force [J].

Galdi, Giovanni P. ;

Silvestre, Ana L. .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2009, 58 (06) :2805-2842

[6] Existence of time-periodic solutions to the Navier-Stokes equations around a moving body [J].

Galdi, GP ;

Silvestre, AL .

PACIFIC JOURNAL OF MATHEMATICS, 2006, 223 (02) :251-267

[7]

Galdi GP, 1999, PROG NONLIN, V35, P273

[8] Existence and uniqueness of time-periodic physically reasonable Navier-Stokes flow past a body [J].

Galdi, GP ;

Sohr, H .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2004, 172 (03) :363-406

[9] Asymptotics of Small Exterior Navier-Stokes Flows with Non-Decaying Boundary Data [J].

Kang, Kyungkuen ;

Miura, Hideyuki ;

Tsai, Tai-Peng .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2012, 37 (10) :1717-1753

[10] Periodic solutions of the Navier-Stokes equations in unbounded domains [J].

Kozono, H ;

Nakao, M .

TOHOKU MATHEMATICAL JOURNAL, 1996, 48 (01) :33-50

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