Abstract: 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.
mailto:conservation@math.ntnu.no Last modified: Wed Sep 29 09:45:20 1999