Preprint 1996-024

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

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, <hoff@indiana.edu>

Publishing information:

to appear in Archive for Rational Mech. Ana.

Submitted by:

<hoff@indiana.edu> August 14 1996.