Non-uniqueness and linear stability of the one-dimensional flow of multiple viscoelastic fluids

被引：0

作者：

LeMeur, H ^{[1
]}

机构：

[1] UNIV PARIS 11, F-91405 ORSAY, FRANCE

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 1997年 / 31卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper we study the Couette and Poiseuille flows of multiple viscoelastic fluids for various constitutive laws. We first discuss the range of parameters that ensure uniqueness for such flows. Then, we study the linear stability of the Couette flow for the Phan-Thien Tanner and modified Phan-Thien Tanner models.

引用

页码：185 / 211

页数：27

共 50 条

[31] THE STABILITY OF ONE-DIMENSIONAL STATIONARY FLOWS OF COMPRESSIBLE VISCOUS FLUIDS
DAVEIGA, HB
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1990, 7 (04): : 259 - 268
[32] Problems of uniqueness and stability in one-dimensional models of plasma column equilibrium
Brushlinskii, KV
Zueva, NM
Mikhailova, MS
Sin'ko, SV
PLASMA PHYSICS REPORTS, 1998, 24 (11) : 907 - 915
[33] Non-uniqueness of almost unidirectional inviscid compressible flow
Šolín P.
Segeth K.
Applications of Mathematics, 2004, 49 (3) : 247 - 268
[34] Non-uniqueness of Transonic Flow past a Flattened Airfoil
Kuz'min, Alexander G.
International Journal of Applied Mathematics and Statistics, 2007, 8 (MO7): : 49 - 57
[35] Non-uniqueness of Transonic Flow past a Flattened Airfoil
Kuz'min, Alexander G.
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2007, 8 (M07): : 49 - 57
[36] Non-uniqueness of flow liquefaction line for loose sand
Yang, J
GEOTECHNIQUE, 2002, 52 (10): : 757 - 760
[37] NON-UNIQUENESS FOR NON-LINEAR BOUNDARY-VALUE-PROBLEMS
DANCER, EN
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1983, 13 (03) : 401 - 412
[38] Global existence and exponential stability of solutions to the one-dimensional full non-Newtonian fluids
Qin, Yuming
Liu, Xin
Yang, Xinguang
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (02) : 607 - 633
[39] ON THE NON-UNIQUENESS OF NON-LINEAR WAVE SOLUTIONS IN A VISCOUS LAYER
BUNOV, AV
DEMEKHIN, EA
SHKADOV, VY
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1984, 48 (04): : 495 - 499
[40] AN INSTANCE OF NON-UNIQUENESS FOR A NON-LINEAR PARABOLIC SYSTEM OF EQUATIONS
GODUNOV, SK
DOKLADY AKADEMII NAUK SSSR, 1961, 136 (06): : 1281 - &

← 1 2 3 4 5 →