Solutions of a class of degenerate kinetic equations using steepest descent in Wasserstein space (Q780508)

Summary: We use the steepest descent method in an Orlicz-Wasserstein space to study the existence of solutions for a very broad class of kinetic equations, which include the Boltzmann equation, the Vlasov-Poisson equation, the porous medium equation, and the parabolic \(p\)-Laplacian equation, among others. We combine a splitting technique along with an iterative variational scheme to build a discrete solution which converges to a weak solution of our problem.