We propose a semilinear relaxation approximation to the unique entropy solutions of an initial boundary value problem for a scalar conservation law. Without any restriction on the initial--boundary data or on the flux function, we prove uniform a priori estimates and convergence of that approximation as the relaxation parameter tends to zero.
Convergence of a relaxation approximation to a boundary value problem for conservation laws
Natalini R;
2001
Abstract
We propose a semilinear relaxation approximation to the unique entropy solutions of an initial boundary value problem for a scalar conservation law. Without any restriction on the initial--boundary data or on the flux function, we prove uniform a priori estimates and convergence of that approximation as the relaxation parameter tends to zero.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
