Discontinuous solutions of the Navier-Stokes equations for multidimensional heat-conducting flow
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.
- Available as PostScript
- Discontinuous solutions of the Navier-Stokes equations for
multidimensional heat-conducting flow
- David Hoff,
- Publishing information:
- to appear in Archive for Rational Mech. Ana.
- Submitted by:
August 14 1996.
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Last modified: Mon Aug 12 13:55:08 1996