Zero Limit for Multi-D Conservation Laws with Nonlinear Diffusion and Dispersion
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Springer International Publishing AG
Abstract
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.
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Correia J.M.C. Zero Limit for Multi-D Conservation Laws with Nonlinear Dissipation and Dispersion. - In: Pinto A., Zilberman D. (eds)Modeling, Dynamics, Optimization and Bioeconomics II, DGS 2014. Springer Proceedings in Mathematics & Statistics, vol. 195, pp. 147-163, Springer, Cham