Weak Solutions for a Hyperbolic System with Unilateral Constraint and Mass
Florent Berthelin and Francois Bouchut
We consider isentropic gas dynamics equations with
unilateral constraint on the density and mass loss.
The $\gamma$ and pressureless pressure laws are considered.
We propose an entropy weak formulation of the system that
incorporates the constraint and Lagrange multiplier,
for which we prove weak stability and existence of
solutions. The nonzero pressure model is approximated by
a kinetic BGK relaxation model, while the pressureless
model is approximated by a sticky-blocks dynamics
with mass loss.
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- Francois Bouchut,
- Publishing information:
- Submitted by:
January 21 2002.
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