Zero Limit for Multi-D Conservation Laws with Nonlinear Diffusion and Dispersion

We consider a class of nonlinear dissipative-dispersive perturbations of the scalar hyperbolic conservation law and we study the convergence of the approximated solutions to its entropy solution. In particular, we obtain conditions under which the balance between dissipation and dispersion gives rise to the convergence.Partial support by the Grant Agency FCT of Portugal under program PEst-OE/MAT/UI0117/2014