Preprint 1996-024

Discontinuous solutions of the Navier-Stokes equations for multidimensional heat-conducting flow

David Hoff


Abstract: We prove the global existence of weak solutions to the Navier-Stokes equations for compressible, heat-conducting flow in two and three space dimensions when the initial density is close to a constant in L^2 and L^\infty, the initial temperature is close to a constant in L^2, and the initial velocity is small in L^2 and H^s for some s > 1/3. In particular, the initial data may be discontinuous across a hypersurface of R^n.


Paper:
Available as PostScript
Title:
Discontinuous solutions of the Navier-Stokes equations for multidimensional heat-conducting flow
Author(s):
David Hoff, mailto:hoff@indiana.edu
Publishing information:
to appear in Archive for Rational Mech. Ana.
Submitted by:
mailto:hoff@indiana.edu August 14 1996.


[ 1996 Preprints | All Preprints | Preprint Server Homepage ]
(c) The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

mailto:conservation@math.ntnu.no
Last modified: Mon Aug 12 13:55:08 1996
Сайт управляется системой uCoz