On the existence of solutions to the Navier-Stokes equations of a two-dimensional compressible flow

被引：15

作者：

Erban, R ^{[1
]}

机构：

[1] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2003年 / 26卷 / 06期

关键词：

D O I：

10.1002/mma.362

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Navier-Stokes equations for compressible, barotropic flow in two space dimensions. We introduce useful tools from the theory of Orlicz spaces. Then we prove the existence of globally defined finite energy weak solutions for the pressure satisfying p(Q) = aq log(d) (Q) for large Q. Here d > 1 and a > 0. Copyright (C) 2003 John Wiley Sons, Ltd.

引用

页码：489 / 517

页数：29

共 50 条

[1] Asymptotic Behaviour of Solutions to the Navier-stokes Equations of a Two-dimensional Compressible Flow
Ying-hui ZHANG 1
[J]. Acta Mathematicae Applicatae Sinica, 2011, 27 (04) : 697 - 712
[2] Asymptotic behaviour of solutions to the Navier-Stokes equations of a two-dimensional compressible flow
Zhang, Ying-hui
Tan, Zhong
[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2011, 27 (04): : 697 - 712
[3] On the domain dependence of solutions to the Navier-Stokes equations of a two-dimensional compressible flow
Jiang, Fei
Tan, Zhong
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2009, 32 (18) : 2350 - 2367
[4] Asymptotic behaviour of solutions to the Navier-Stokes equations of a two-dimensional compressible flow
Ying-hui Zhang
Zhong Tan
[J]. Acta Mathematicae Applicatae Sinica, English Series, 2011, 27 : 697 - 712
[5] On existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid
Vaigant, VA
Kazhikhov, AV
[J]. SIBERIAN MATHEMATICAL JOURNAL, 1995, 36 (06) : 1108 - 1141
[6] On the existence of global solutions to two-dimensional Navier-Stokes equations for compressible viscous fluid
Vaigant, VA
Kazhikov, AV
[J]. DOKLADY AKADEMII NAUK, 1997, 357 (04) : 445 - 448
[7] On the existence of solutions to the Navier-Stokes-Poisson equations of a two-dimensional compressible flow
Zhang, Yinghui
Tan, Zhong
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2007, 30 (03) : 305 - 329
[8] Global large solutions to the two-dimensional compressible Navier-Stokes equations
Zhai, Xiaoping
Chen, Zhi-Min
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, 72 (02):
[9] Weak solutions to the two-dimensional steady compressible Navier-Stokes equations
Zhong, Xin
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2017, 34 : 61 - 74
[10] Existence of solutions for the compressible Navier-Stokes equations
Yin, HC
[J]. CHINESE SCIENCE BULLETIN, 1996, 41 (10): : 805 - 812

← 1 2 3 4 5 →