scholarly journals Asymptotic analysis and coupling conditions for kinetic and hydrodynamic equations

1998 ◽  
Vol 35 (1-2) ◽  
pp. 127-137 ◽  
Author(s):  
A. Klar
Keyword(s):  
Asymptotic Analysis ◽  
Hydrodynamic Equations ◽  
Coupling Conditions

scholarly journals The Small-Péclet-Number Approximation for Radiative Zones and its Application to Shear Layer Instabilities

2004 ◽  
Vol 215 ◽  
pp. 346-347
Author(s):  
F. Lignières
Keyword(s):  
Asymptotic Behavior ◽  
Thermal Diffusivity ◽  
Asymptotic Analysis ◽  
Shear Layer ◽  
Peclet Number ◽  
Earth Atmosphere ◽  
Hydrodynamic Equations ◽  
The Earth ◽  
Shear Instabilities ◽  
Thermal Diffusivities

Thermal diffusivities within stars are higher by several orders of magnitude than in the earth atmosphere. This particularity of the stellar fluid has subtle effects on the dynamics of stably stratified radiative zones as it contributes to favour some flows and supress others. An asymptotic analysis of hydrodynamic equations for large values of the thermal diffusivity is presented and this results in a simplification of the dynamical effects of the thermal diffusivity. This asymptotic behavior proved to be very useful to understand shear instabilities of Kelvin-Helmholtz type.

MODELING OF THE INCLUSION OF A REINFORCING SHEET WITHIN A 3D MEDIUM

2003 ◽  
Vol 13 (04) ◽  
pp. 573-595 ◽  
Author(s):  
D. CHAPELLE ◽  
A. FERENT
Keyword(s):  
Asymptotic Analysis ◽  
Variational Formulation ◽  
Degrees Of Freedom ◽  
Coupled Model ◽  
Numerical Results ◽  
Crucial Issue ◽  
Coupling Conditions ◽  
Limit Solutions

We propose a variational formulation suitable for coupling a shell and a surrounding softer 3D medium. This is intended to model the behavior of a reinforcing sheet as frequently occurs in applications. The crucial issue of the kinematical coupling conditions is addressed by taking into account the rotation degrees of freedom of the shell. We then perform an asymptotic analysis of the coupled model in which the distinction between bending-dominated and membrane-dominated shells arises. For the limit solutions we identify coupling kinematical conditions that do not involve rotations. Finally we present some numerical results that illustrate our discussions.

The elasto-hydrodynamic equations of the colloidal crystals

1988 ◽  
Vol 49 (7) ◽  
pp. 1119-1125 ◽  
Author(s):  
M. Jorand ◽  
E. Dubois-Violette ◽  
B. Pansu ◽  
F. Rothen
Keyword(s):  
Colloidal Crystals ◽  
Hydrodynamic Equations

Three-dimensional asymptotic analysis of multiple-electroded piezoelectric laminates

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 317-324 ◽  
Author(s):  
Zhen-Qiang Cheng ◽  
R. C. Batra
Keyword(s):  
Asymptotic Analysis ◽  
Three Dimensional
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