Preprint 1996024
Discontinuous solutions of the NavierStokes equations for multidimensional heatconducting flow
David Hoff
Abstract:
We prove the global existence of weak solutions to the
NavierStokes equations for compressible, heatconducting
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 NavierStokes equations for
multidimensional heatconducting 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.
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