A free boundary problem in hydrodynamic lubrication governed by the stokes equations

2006 ◽  
pp. 375-384 ◽  
Author(s):  
C. Cuvelier
Keyword(s):  
Free Boundary ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Stokes Equations ◽  
Hydrodynamic Lubrication ◽  
A Free Boundary Problem

scholarly journals Existence of Weak Solution for a Free Boundary Lubrication Problem

2011 ◽  
Vol 2011 ◽  
pp. 1-12
Author(s):  
Abdelhamid Laouar
Keyword(s):  
Weak Solution ◽  
Free Boundary ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Boundary Lubrication ◽  
Hydrodynamic Lubrication ◽  
Weak Formulation ◽  
Large Context ◽  
A Free Boundary Problem

This paper is interested in a free boundary problem modelling a phenomenon of cavitation in hydrodynamic lubrication. We reformulate the problem (see Boukrouche, (1993)) in a large context by introducing two positive parameters, namely, N0 and a. We build a weak formulation and establish the existence of the solution to the problem.

scholarly journals Classical Solvability of a Free Boundary Problem for an Incompressible Viscous Fluid with a Surface Density Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Yoshiaki Kusaka
Keyword(s):  
Free Boundary ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Surface Mass ◽  
A Free Boundary Problem ◽  
Physical Phenomena ◽  
Density Equation

We investigate a mathematical model introduced by Shikhmurzaev to remove singularities that arise when classical hydrodynamic models are applied to certain physical phenomena. The model is described as a free boundary problem consisting of the Navier-Stokes equations and a surface mass balance equation. We prove the local-in-time solvability in Hölder spaces.

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