Spectrum analysis of the linear Fokker–Planck equation

DOI10.1142/S0219530515500219zbMath1368.35265MaRDI QIDQ5267945

Lan Luo, Hongjun Yu

Publication date: 13 June 2017

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

large time behaviorspectrum analysislinear Fokker-Planck equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) General topics in linear spectral theory for PDEs (35P05) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Perturbations in context of PDEs (35B20) Fokker-Planck equations (35Q84)

Related Items (11)

Global existence and decay rates of the solutions near Maxwellian for non-linear Fokker-Planck equations ⋮ Diffusion limit and the optimal convergence rate of the Vlasov-Poisson-Fokker-Planck system ⋮ Stability of global Maxwellian for fully nonlinear Fokker-Planck equations ⋮ Stability of global Maxwellian for non-linear Vlasov-Poisson-Fokker-Planck equations ⋮ Global existence and long time behavior of the ellipsoidal-statistical-Fokker-Planck model for diatomic gases ⋮ Optimal exponential decay for the linearized ellipsoidal BGK model in weighted Sobolev spaces ⋮ Sensitivity analysis of the non-linear Fokker-Planck equations with uncertainty ⋮ Explicit structure of the Fokker-Planck equation with potential ⋮ Wave phenomena to the three-dimensional fluid-particle model ⋮ Green's function and the pointwise behaviors of the Vlasov-Poisson-Fokker-Planck system ⋮ Semigroup decay for the linearized kinetic ellipsoidal Fokker-Planck equation

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