Large Time Behavior for Conservation Laws with Source in a Bounded
Corrado Mascia and Andrea Terracina
We analyze the asymptotic behavior of solutions to a scalar
one-dimensional conservation law with a source term in a
bounded domain with the boundary data assumed in the sense
introduced by Bardos, LeRoux and Nedelec.
Under opportune assumption on the flux function and on the
source we prove convergence to a stationary solution.
Moreover we prove that after a finite time (not depending
on the initial datum) the evolution of the solution of the
problem becomes one dimensional.
- Available as PostScript.
- Corrado Mascia,
- Andrea Terracina,
- Publishing information:
- to appear in Journal of Differential Equations
- Submitted by:
September 28 1999.
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