[ 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 | 2007 | 2008 | All | Home ]

Preprint 2008-007

Dynamics of the density discontinuity interface. A transversal contact problem

Misha Perepelitsa

Abstract: The Navier–Stokes equations for the motion of compressible, viscous fluids in the half-space R+2 with the no-slip boundary condition are considered. We study the problem of determining the evolution of the interface of discontinuity of a piece-wise W1,p, p>2, density when the interface is in transversal contact with the boundary of the domain. A unique global solution that exists near a constant equilibrium case is constructed that preserves C1+α regularity of the interface.

Paper:
Available as PDF (337 Kbytes).
Author(s):
Misha Perepelitsa,
Publishing information:
Comments:
Submitted by:
; 2008-03-02.