Smoothing effects for weak solutions of the spatially homogeneous Landau-Fermi-Dirac equation for hard potentials

DOI10.1007/s10440-010-9587-1zbMath1205.35316OpenAlexW2074163635MaRDI QIDQ618770

Yemin Chen

Publication date: 17 January 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-010-9587-1

zbMATH Keywords

smoothing effectsGagliardo-Nirenberg's inequalitymethod of inductionspatially homogeneous Landau-Fermi-Dirac equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Weak solutions to PDEs (35D30) PDEs in connection with statistical mechanics (35Q82)

Related Items (5)

Smoothing effects for the classical solutions to the Landau-Fermi-Dirac equation ⋮ Optimal time decay of the quantum Landau equation in the whole space ⋮ opPINN: physics-informed neural network with operator learning to approximate solutions to the Fokker-Planck-Landau equation ⋮ Long time dynamics for the Landau-Fermi-Dirac equation with hard potentials ⋮ The Landau equation with the specular reflection boundary condition

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