φ-Entropies: convexity, coercivity and hypocoercivity for Fokker–Planck and kinetic Fokker–Planck equations
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Publication:4630546
DOI10.1142/S0218202518500574zbMath1411.82032arXiv1712.09897OpenAlexW2888706989MaRDI QIDQ4630546
Publication date: 27 March 2019
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.09897
Poincaré inequalityspectral gapconfinementhypocoercivitydiffusion limittransport operatorFokker-Planck operatorlinear kinetic equations
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) Vlasov equations (35Q83) Fokker-Planck equations (35Q84)
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Improved interpolation inequalities and stability, Time averages for kinetic Fokker-Planck equations, A spectral theoretical approach for hypocoercivity applied to some degenerate hypoelliptic, and non-local operators, On Gaussian interpolation inequalities, On a spatially inhomogeneous nonlinear Fokker-Planck equation: Cauchy problem and diffusion asymptotics, Hypocoercivity and sub-exponential local equilibria, Inequalities involving Aharonov–Bohm magnetic potentials in dimensions 2 and 3, \(\mathrm{L}^2\)-hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck system, Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results, Semigroup decay for the linearized kinetic ellipsoidal Fokker-Planck equation
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