Solutions of a class of degenerate kinetic equations using steepest descent in Wasserstein space (Q780508)
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scientific article; zbMATH DE number 7221158
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solutions of a class of degenerate kinetic equations using steepest descent in Wasserstein space |
scientific article; zbMATH DE number 7221158 |
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Solutions of a class of degenerate kinetic equations using steepest descent in Wasserstein space (English)
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15 July 2020
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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.
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kinetic equations
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0.91619927
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0.88981014
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0.88347286
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0.8755543
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0.8751426
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0.87364507
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0.87291896
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0.87228405
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