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MiS Preprint
39/2012
Entropic Burgers’ equation via a minimizing movement scheme based on the Wasserstein metric
Nicola Gigli and Felix Otto
Abstract
As noted by the second author in the context of unstable two-phase porous medium flow, entropy solutions of Burgers’ equation can be recovered from a minimizing movement scheme involving the Wasserstein metric in the limit of vanishing time step size [4]. In this paper, we give a simpler proof by verifying that the anti-derivative is a viscosity solution of the associated Hamilton Jacobi equation.
