Communications in Mathematical Sciences
Volume 14 (2016)
On a limit of perturbed conservation laws with diffusion and non-positive dispersion
Pages: 1501 – 1516
We consider a conservation law perturbed by a linear diffusion and a general form of non-positive dispersion. We prove the convergence of the corresponding solution to the entropy weak solution of the hyperbolic conservation law.
diffusion, dispersion, KdV equation, Burgers’ equation, hyperbolic conservation laws, entropy measure-valued solutions
2010 Mathematics Subject Classification
35G25, 35L65, 35Q53, 76B15