Pointwise estimate of solutions of isentropic Navier-Stokes equations in even space-dimensions

被引：0

作者：

Xu, HM ^{[1
]}

Wang, WK ^{[1
]}

机构：

[1] Wuhan Univ, Dept Math, Wuhan 430072, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2001年 / 21卷 / 03期

关键词：

isentropic Navier-Stokes equation; multidimensions; Green's function; pointwise estimate;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the dissipation of solutions of the isentropic Navier-Stokes equations in even and bigger than two multi-dimensions. Pointwise estimates of the time-asymptotic shape of the solutions are obtained and the generalized Huygan's principle is exhibited. The approch of the paper is based on the detailed analysis of the Green function of linearized system. This is used to study the coupling of nonlinear diffusion waves.

引用

页码：417 / 427

页数：11

共 50 条

[21] Weak Solutions for Compressible Isentropic Navier–Stokes Equations in Dimensions Three
Xianpeng Hu
Archive for Rational Mechanics and Analysis, 2021, 242 : 1907 - 1945
[22] Blowup of classical solutions to the pressureless Euler/isentropic Navier-Stokes equations
Dong, Jianwei
Lou, Guangpu
Yang, Yong
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (18) : 7425 - 7431
[23] Blow up of classical solutions to the isentropic compressible Navier-Stokes equations
Lai, Ning-An
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2015, 25 : 112 - 117
[24] Solving the non-isentropic Navier-Stokes equations in odd space dimensions: The Green function method
Du, Linglong
Wu, Zhigang
JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (10)
[25] Asymptotic behavior of the energy and pointwise estimates for solutions to the Navier-Stokes equations
Brandolese, L
REVISTA MATEMATICA IBEROAMERICANA, 2004, 20 (01) : 223 - 256
[26] Coercive estimate for solutions to the linearizations of the modified Navier-Stokes equations
Ladyzhenskaya, OA
Seregin, GA
DOKLADY AKADEMII NAUK, 2000, 370 (06) : 738 - 740
[27] On the stability of global solutions to Navier-Stokes equations in the space
Auscher, P
Dubois, S
Tchamitchian, P
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2004, 83 (06): : 673 - 697
[28] Ancient Solutions to Navier-Stokes Equations in Half Space
Barker, T.
Seregin, G.
JOURNAL OF MATHEMATICAL FLUID MECHANICS, 2015, 17 (03) : 551 - 575
[29] CONSTRUCTION OF SOLUTIONS FOR COMPRESSIBLE, ISENTROPIC NAVIER-STOKES EQUATIONS IN ONE SPACE DIMENSION WITH NONSMOOTH INITIAL DATA
HOFF, D
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1986, 103 : 301 - 315
[30] Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions
Desjardins, B
Grenier, E
Lions, PL
Masmoudi, N
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1999, 78 (05): : 461 - 471

← 1 2 3 4 5 →