Zusammenfassung
We consider conservation laws with spatially discontinuous flux that
are perturbed by diffusion and dispersion terms. These equations
arise in a theory of two-phase flow in porous media that includes
rate-dependent (dynamic) capillary pressure and spatial heterogeneities.
We investigate the singular limit as the diffusion and dispersion
parameters tend to zero, showing strong convergence towards a weak
solution of the limit conservation law.
Nutzer