Kinetic Fokker-Planck and Landau equations with specular reflection boundary condition

DOI10.3934/krm.2022003zbMath1498.35542arXiv2111.09840OpenAlexW3212612922MaRDI QIDQ2087588

Yan Guo, Timur Yastrzhembskiy, Hongjie Dong

Publication date: 21 October 2022

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.09840

zbMATH Keywords

plasma physicsLandau equationspecular boundary condition\(S_p\) estimateskinetic Kolmogorov-Fokker-Planck equations

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) A priori estimates in context of PDEs (35B45) Hypoelliptic equations (35H10) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) PDEs in connection with mechanics of particles and systems of particles (35Q70) Fokker-Planck equations (35Q84)

Related Items (3)

Global \({L}_p\) estimates for kinetic Kolmogorov-Fokker-Planck equations in nondivergence form ⋮ Global \(\boldsymbol{L}_{\boldsymbol{p}}\) Estimates for Kinetic Kolmogorov–Fokker–Planck Equations in Divergence Form ⋮ The Vlasov-Poisson-Landau system with the specular-reflection boundary condition

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