On the asymptotics of the motion of a nonlinear viscous fluid

被引：1

作者：

Khatskevich, V. L. ^{[1
]}

机构：

[1] Zhukovskii Gagarin Air Force Acad, Voronezh, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2017年 / 58卷 / 02期

关键词：

nonlinear viscous fluid; mathematical model; evolution problem; asymptotics of solutions;

D O I：

10.1134/S0037446617020161

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under study is the nonstationary problem of the motion of a nonlinear-viscous fluid in the case of low or high viscosity. We establish that the convergence of solutions to the corresponding limit solutions as the viscosity converges to zero or infinity.

引用

页码：329 / 337

页数：9

共 50 条

[1] On the asymptotics of the motion of a nonlinear viscous fluid
V. L. Khatskevich
Siberian Mathematical Journal, 2017, 58 : 329 - 337
[2] On the Asymptotics of Motion of a Viscous Incompressible Fluid for Small Viscosity
Khatskevich, V. L.
DIFFERENTIAL EQUATIONS, 2017, 53 (06) : 825 - 835
[3] On the asymptotics of motion of a viscous incompressible fluid for small viscosity
V. L. Khatskevich
Differential Equations, 2017, 53 : 825 - 835
[4] STABILITY OF THE MOTION OF NONLINEAR VISCOUS-FLUID
SOBOLEVSKII, PE
DOKLADY AKADEMII NAUK SSSR, 1986, 291 (05): : 1067 - 1071
[5] Motion of a thin vortex ring in a viscous fluid: Higher-order asymptotics
Fukumoto, Y
Moffatt, HK
IUTAM SYMPOSIUM ON DYNAMICS OF SLENDER VORTICES, 1998, 44 : 21 - 34
[6] Asymptotics toward a nonlinear wave for an outflow problem of a model of viscous ions motion
Li, Yeping
Zhu, Peicheng
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2017, 27 (11): : 2111 - 2145
[7] On the Motion of a Viscous Fluid
Rayleigh, Lord
PHILOSOPHICAL MAGAZINE, 1913, 26 (154) : 776 - 786
[8] Asymptotics of homogeneous oscillations in a compressible viscous fluid
Denis Serre
Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society, 2001, 32 : 435 - 442
[9] Asymptotics of homogeneous oscillations in a compressible viscous fluid
Serre, D
BOLETIM DA SOCIEDADE BRASILEIRA DE MATEMATICA, 2001, 32 (03): : 435 - 442
[10] Stochastic non-Newtonian fluid motion equations of a nonlinear bipolar viscous fluid
Chen, Jianwen
Chen, Zhi-Min
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 369 (02) : 486 - 509

← 1 2 3 4 5 →