Preprint 1999-027

Large Time Behavior for Conservation Laws with Source in a Bounded Domain

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.

Paper:

Available as PostScript.

Author(s):

Corrado Mascia, <mascia@mat.uniroma1.it>

Andrea Terracina, <terracin@mat.uniroma1.it>

Publishing information:

to appear in Journal of Differential Equations

Comments:

Submitted by:

<mascia@mat.uniroma1.it> September 28 1999.