Wasserstein Metric and Large–time Asymptotics of Nonlinear Diffusion Equations
نویسنده
چکیده
We review here various recent applications of Wassertein–type metrics to both nonlinear partial differential equations and integro–differential equations. Among others, we can describe the asymptotic behavior of nonlinear friction equations arising in the kinetic modelling of granular flows, and the growth of the support in nonlinear diffusion equations of porous medium type. Further examples include the approximation of nonlinear friction equations by adding viscosity, and the asymptotic behavior of degenerate convection–diffusion equations.
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