Solutions of a Class of Degenerate Kinetic Equations Using Steepest Descent in Wasserstein Space

Aboubacar Marcos, Ambroise Soglo and Yongqiang Fu

Journal of Mathematics, 2020, vol. 2020, 1-30

Abstract: 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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7489532

DOI: 10.1155/2020/7489532

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