Global Existence and Decay Rates of the Solutions Near Maxwellian for Non-linear Fokker–Planck Equations-Reference-Cited by-同舟云学术

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Global Existence and Decay Rates of the Solutions Near Maxwellian for Non-linear Fokker–Planck Equations

Published:2018-08-09 Issue:1 Volume:173 Page:222-241
ISSN:0022-4715
Container-title:Journal of Statistical Physics
language:en
Short-container-title:J Stat Phys

Author:

Liao Jie,Wang Qianrong,Yang Xiongfeng

Funder

Fundamental Research Funds for the Central Universities

National Science Fund of China

SJTU’s SMC Projection A

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/article/10.1007/s10955-018-2129-3/fulltext.html

Reference30 articles.

1. Bouchut, F.: Hypoelliptic regularity in kinetic equations. J. Math. Pures Appl. 81, 1135–1159 (2002)

2. Carrillo, J.A., Toscani, G.: Exponential convergence toward equilibrium for homogeneous Fokker–Planck-type equations. Math. Methods Appl. Sci. 21, 1269–1286 (1998)

3. Carrillo, J.A., Duan, R., Moussa, A.: Global classical solutions close to equilibrium to the Vlasov–Fokker–Planck–Euler system. Kinet. Relat. Mod. 4, 227–258 (2011)

4. Chacón-Acosta, G., Kremer, G.M.: Fokker–Planck-type equations for a simple gas and for a semirelativistic Brownian motion from a relativistic kinetic theory. Phys. Rev. E 76, 021201 (2007)

5. Chandrasekhar, S.: Stochastic problems in physics and astronomy. Rev. Mod. Phys. 15, 1–89 (1943)

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