Relaxation Approximation of Some Initial-Boundary Value Problem for $p$-Systems

We consider the Suliciu model which is a relaxation approximation of the $p$-system. In the case of the Dirichlet boundary condition we prove that the local smooth solution of the $p$-system is the zero limit of the Suliciu model solutions.

Keywords

Zero relaxation limit, $p$-system, Suliciu model, boundary conditions

2010 Mathematics Subject Classification

35B25, 35L50

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Published 1 January 2007