Fractional Hypocoercivity
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mathematical Physics,Statistical and Nonlinear Physics
Link
https://link.springer.com/content/pdf/10.1007/s00220-021-04296-4.pdf
Reference41 articles.
1. Aceves-Sanchez, P., Cesbron, L.: Fractional diffusion limit for a fractional Vlasov–Fokker–Planck equation. SIAM J. Math. Anal. 51(1), 469–488 (2019)
2. Ayi, N., Herda, M., Hivert, H., Tristani, I.: A note on hypocoercivity for kinetic equations with heavy-tailed equilibrium. Comptes Rendus Math. 358(3), 333–340 (2020)
3. Bakry, D., Cattiaux, P., Guillin, A.: Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré. J. Funct. Anal. 254(3), 727–759 (2008)
4. Ben Abdallah, N., Mellet, A., Puel, M.: Anomalous diffusion limit for kinetic equations with degenerate collision frequency. Math. Models Methods Appl. Sci. 21(11), 2249–2262 (2011)
5. Ben-Artzi, J., Einav, A.: Weak Poincaré inequalities in the absence of spectral gaps. Ann. Henri Poincaré 21(2), 359–375 (2020)
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1. Hydrodynamic limits and hypocoercivity for kinetic equations with heavy tails;Journées équations aux dérivées partielles;2024-07-22
2. Fractional diffusion for Fokker–Planck equation with heavy tail equilibrium: An à la Koch spectral method in any dimension;Asymptotic Analysis;2024-01-02
3. $$\mathrm L^2$$ Hypocoercivity Methods for Kinetic Fokker-Planck Equations with Factorised Gibbs States;Springer INdAM Series;2024
4. On a structure-preserving numerical method for fractional Fokker-Planck equations;Mathematics of Computation;2022-11-10
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