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On a limit of perturbed conservation laws with diffusion and non-positive dispersion

On a limit of perturbed conservation laws with diffusion and non-positive dispersion

We consider a conservation law perturbed by a linear diffusion and non-positive dispersionWe prove the convergence of the previous solution to the entropy weak solution of the hyperbolic conservation law ut + f (u)x = 0, in both cases n = 1 and n = 2.