We consider a class of BGK systems with a finite number of velocities, depending on a positive relaxation parameter, that approximate strongly degenerate hyperbolic–parabolic equations with initial boundary conditions. We prove a priori estimates for the solutions of the systems, showing that these functions converge towards the entropy solutions of strongly degenerate problems when the relaxation parameter goes to zero.
A discrete BGK approximation for strongly degenerate parabolic problems with boundary conditions / F. R., Guarguaglini; V., Milisic; Terracina, Andrea. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 202:2(2004), pp. 183-207. [10.1016/j.jde.2004.03.008]
A discrete BGK approximation for strongly degenerate parabolic problems with boundary conditions.
TERRACINA, Andrea
2004
Abstract
We consider a class of BGK systems with a finite number of velocities, depending on a positive relaxation parameter, that approximate strongly degenerate hyperbolic–parabolic equations with initial boundary conditions. We prove a priori estimates for the solutions of the systems, showing that these functions converge towards the entropy solutions of strongly degenerate problems when the relaxation parameter goes to zero.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
