A BGK Approximation to Nonlinear Parabolic Initial-Boundary Value
Francesca Guarguaglini and Andrea Terracina
We present a relaxation semilinear system of conservation
laws with source which approximates nonlinear parabolic
equations with initial and boundary conditions. We prove
the well-posedness of the model, a priori estimates and
we obtain the convergence towards the solution of the
parabolic problem. Moreover we prove a similar result for
a weakly degenerate problem.
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- Francesca Guarguaglini,
- Andrea Terracina,
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- Submitted by:
October 25 2000.
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