Existence of time-periodic weak solutions to the stochastic Navier-Stokes equations around a moving body

被引：1

作者：

Chen, Feng ^{[1
]}

Han, Yuecai ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 54卷 / 12期

关键词：

D O I：

10.1063/1.4850878

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The existence of time-periodic stochastic motions of an incompressible fluid is obtained. Here the fluid is subject to a time-periodic body force and an additional time-periodic stochastic force that is produced by a rigid body moves periodically stochastically with the same period in the fluid. (C) 2013 AIP Publishing LLC.

引用

页数：8

共 50 条

[1] Existence of time-periodic solutions to the Navier-Stokes equations around a moving body
Galdi, GP
Silvestre, AL
PACIFIC JOURNAL OF MATHEMATICS, 2006, 223 (02) : 251 - 267
[2] WEAK TIME-PERIODIC SOLUTIONS TO THE COMPRESSIBLE NAVIER-STOKES EQUATIONS
Cai, Hong
Tan, Zhong
ACTA MATHEMATICA SCIENTIA, 2016, 36 (02) : 499 - 513
[3] Existence, Uniqueness and Asymptotic Behavior of Regular Time-Periodic Solutions to the Navier-Stokes Equations around a Moving Body: Rotational Case
Galdi, Giovanni P.
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2022, 71 (06) : 2259 - 2281
[4] On the Energy Equality for the Weak Time-Periodic Solutions to the Navier-Stokes Equations
Yang, Jiaqi
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2022, 24 (01)
[5] EXISTENCE AND STABILITY OF TIME-PERIODIC SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN THE WHOLE SPACE
MAREMONTI, P
NONLINEARITY, 1991, 4 (02) : 503 - 529
[6] EXISTENCE AND UNIQUENESS OF TIME-PERIODIC SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN THE WHOLE PLANE
Galdi, Giovanni P.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2013, 6 (05): : 1237 - 1257
[7] EXISTENCE OF TIME-PERIODIC SOLUTIONS TO INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN THE WHOLE SPACE
Hu, Xianpeng
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2005,
[8] On the Regularity of Weak Solutions to Time-Periodic Navier-Stokes Equations in Exterior Domains
Eiter, Thomas
MATHEMATICS, 2023, 11 (01)
[9] Time-periodic statistical solutions of the Navier-Stokes equations
Fursikov, AV
TURBULENCE MODELING AND VORTEX DYNAMICS, 1997, 491 : 123 - 147
[10] ON THE EXISTENCE OF PERIODIC WEAK SOLUTIONS OF NAVIER-STOKES EQUATIONS IN REGIONS WITH PERIODICALLY MOVING BOUNDARIES
SALVI, R
ACTA APPLICANDAE MATHEMATICAE, 1994, 37 (1-2) : 169 - 179

← 1 2 3 4 5 →