Strong solutions to the incompressible Navier-Stokes equations in the half-space

被引：22

作者：

Cannone, M ^{[1
]}

Planchon, F

Schonbek, M

机构：

[1] Univ Paris 07, UFR Math, F-75251 Paris 05, France

[2] Univ Paris 06, Anal Numer Lab, F-75252 Paris, France

[3] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA

[4] Grad Sch Polymath, Nagoya, Aichi, Japan

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2000年 / 25卷 / 5-6期

关键词：

D O I：

10.1080/03605300008821536

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive an exact formula for solutions to the Stokes equations in the half-space with an external forcing term. This formula is used to establish local and global existence and uniqueness in a suitable Besov space for solutions to the Navier-Stokes equations. In particular, well-posedness is proved for initial data in L-3(R-+(3)).

引用

页码：903 / 924

页数：22

共 50 条

[21] PERIODIC SOLUTIONS AND THEIR STABILITY TO THE NAVIER-STOKES EQUATIONS ON A HALF SPACE
Hieber, Matthias
Nguyen, Thieu Huy
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (5-6): : 1899 - 1910
[22] A critical functional framework for the inhomogeneous Navier-Stokes equations in the half-space
Danchin, Raphael
Mucha, Piotr Boguslaw
JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 256 (03) : 881 - 927
[23] Inhomogeneous Navier-Stokes equations in the half-space, with only bounded density
Danchin, Raphael
Zhang, Ping
JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 267 (07) : 2371 - 2436
[24] The Inviscid Limit of Navier-Stokes Equations for Analytic Data on the Half-Space
Nguyen, Toan T.
Nguyen, Trinh T.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2018, 230 (03) : 1103 - 1129
[25] Gevrey regularity for the Navier-Stokes in a half-space
Camliyurt, Guher
Kukavica, Igor
Vicol, Vlad
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 265 (09) : 4052 - 4075
[26] STRONG SOLUTIONS OF NAVIER-STOKES EQUATIONS IN 3 DIMENSIONAL SPACE
PROUSE, G
ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI RENDICONTI-CLASSE DI SCIENZE FISICHE-MATEMATICHE & NATURALI, 1973, 54 (03): : 343 - 353
[27] Global well-posedness of classical solutions to the compressible Navier-Stokes equations in a half-space
Duan, Qin
JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 253 (01) : 167 - 202
[28] LOCAL AND GLOBAL REGULARITY FOR THE STOKES AND NAVIER-STOKES EQUATIONS WITH BOUNDARY DATA IN THE HALF-SPACE
Kang, Kyungkeun
Min, Chanhong
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2024, 23 (10) : 1506 - 1561
[29] Local Energy Weak Solutions for the Navier–Stokes Equations in the Half-Space
Yasunori Maekawa
Hideyuki Miura
Christophe Prange
Communications in Mathematical Physics, 2019, 367 : 517 - 580
[30] On weak-strong uniqueness of solutions to the generalized incompressible Navier-Stokes equations
Liu, Qiao
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 72 (03) : 675 - 686

← 1 2 3 4 5 →