\(\mathrm{L}^2\) hypocoercivity methods for kinetic Fokker-Planck equations with factorised Gibbs states
DOI10.1007/978-981-97-0225-1_2MaRDI QIDQ6612902
Luca Ziviani, Emeric Bouin, Jean Dolbeault
Publication date: 1 October 2024
Poincaré inequalityNash inequalityCaffarelli-Kohn-Nirenberg inequalityhypocoercivityHardy-Poincaré inequalitydiffusion limittransport operatorFokker-Planck operatorweighted Poincaré inequalitylinear kinetic equationsentropy-entropy production inequalities
Estimates of eigenvalues in context of PDEs (35P15) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Degenerate parabolic equations (35K65) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Hypoelliptic equations (35H10) Fokker-Planck equations (35Q84)
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