Finite Velocity of the Propagation of Perturbations for a Class of Non-Newtonian Fluids

被引：0

作者：

Yuan, Hongjun ^{[1
]}

Li, Huapeng ^{[1
]}

机构：

[1] Jilin Univ, Inst Math, Changchun 130012, Jilin, Peoples R China

来源：

ACTA APPLICANDAE MATHEMATICAE | 2013年 / 125卷 / 01期

关键词：

Existence; Non-Newtonian fluids; Finite propagation; Morser's iteration; EXISTENCE; EQUATIONS; UNIQUENESS;

D O I：

10.1007/s10440-012-9780-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the initial boundary value problem of a class of non-Newtonian fluids. We obtain that finite velocity of the propagation of perturbations.

引用

页码：49 / 77

页数：29

共 22 条

[1]

[Anonymous], 1968, LINEAR QUASILINEAR E

[2] Regularization of a non-Newtonian system in an unbounded channel: existence of a maximal compact attractor [J].

Bloom, F ;

Hao, WG .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 43 (06) :743-766

[3]

Bohme G., 1987, Non-Newtonian Fluid Mechanics

[4] Unique solvability of the initial boundary value problems for compressible viscous fluids [J].

Cho, Y ;

Choe, HJ ;

Kim, H .

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2004, 83 (02) :243-275

[5] Strong solutions of the Navier-Stokes equations for isentropic compressible fluids [J].

Choe, HJ ;

Kim, H .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 190 (02) :504-523

[6] Global solutions of the equations of one-dimensional, compressible flow with large data and forces, and with differing end states [J].

Hoff D. .

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1998, 49 (5) :774-785

[7]

Huang X., 2010, ARXIV10044749V2MATHP

[8]

Huilgol RR., 1975, Continuum mechanics of viscoelastic liquids

[9] Vacuum problem of one-dimensional compressible Navier-Stokes equations [J].

Li, H. -L. ;

Li, J. ;

Xin, Z. .

HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS: PROCEEDINGS OF THE 11TH INTERNATIONAL CONFERENCE ON HYPERBOLIC PROBLEMS, 2008, :161-172

[10] Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations [J].

Li, Hai-Liang ;

Li, Jing ;

Xin, Zhouping .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 281 (02) :401-444

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