The qualitative properties of the Stokes and Navier-Stokes system for the mixed problem in a nonsmooth domain

被引：6
作者：
Benes, Michal [1 ]
机构：
[1] Czech Tech Univ Prague, Dept Math, Prague 16629 6, Czech Republic
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2007年 / 76卷 / 1-3期
关键词：
Navier-Stokes equations; mixed boundary conditions; regularity;
D O I：
10.1016/j.matcom.2007.02.004
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We consider the mixed boundary value problem for the Stokes and steady Navier-Stokes equations in two-dimensional domain with corner points on boundary, where the boundary conditions change their type. Our goal is to prove some regularity results near corner points, where the boundary conditions change. (C) 2007 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：8 / 12
页数：5
相关论文
共 50 条
[21]   Existence and properties of the Navier-Stokes equations [J].
Zhirkin, A. V. .
COGENT MATHEMATICS, 2016, 3
[22]   On some properties of the Navier-Stokes equations [J].
Rubina, L., I ;
Ul'yanov, O. N. .
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2016, 22 (01) :245-256
[23]   Basic properties of solution of the non-steady Navier-Stokes equations with mixed boundary conditions in a bounded domain [J].
Kučera P. .
ANNALI DELL'UNIVERSITA' DI FERRARA, 2009, 55 (2) :289-308
[24]   On the global wellposedness of free boundary problem for the Navier-Stokes system with surface tension [J].
Saito, Hirokazu ;
Shibata, Yoshihiro .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 384 :1-92
[25]   STOCHASTIC NAVIER-STOKES EQUATIONS ARE A COUPLED PROBLEM [J].
Rang, Joachim ;
Matthies, Hermann G. .
COMPUTATIONAL METHODS IN MARINE ENGINEERING V (MARINE 2013), 2013, :278-288
[26]   Inverse viscosity problem for the Navier-Stokes equation [J].
Fan, Jishan ;
Di Cristo, Michele ;
Jiang, Yu ;
Nakamura, Gen .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 365 (02) :750-757
[27]   The 3D Navier-Stokes Problem [J].
Doering, Charles R. .
ANNUAL REVIEW OF FLUID MECHANICS, 2009, 41 :109-128
[28]   The Problem of Single - Determinability Equations of Navier-Stokes [J].
Abylkairov, U. U. .
INTERNATIONAL JOURNAL OF MATHEMATICS AND PHYSICS, 2019, 10 (01) :4-10
[29]   A canonical Hamiltonian formulation of the Navier-Stokes problem [J].
Sanders, John W. ;
Devoria, A. C. ;
Washuta, Nathan J. ;
Elamin, Gafar A. ;
Skenes, Kevin L. ;
Berlinghieri, Joel C. .
JOURNAL OF FLUID MECHANICS, 2024, 984
[30]   ASYMPTOTIC LIMIT FOR THE STOKES AND NAVIER-STOKES PROBLEMS IN A PLANAR DOMAIN WITH A VANISHING HOLE [J].
Munnier, Alexandre .
MATHEMATICAL REPORTS, 2022, 24 (1-2) :269-299
12345