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ON THE VLASOV-POISSON-FOKKER-PLANCK EQUATION NEAR MAXWELLIAN SCIE SCOPUS

Title
ON THE VLASOV-POISSON-FOKKER-PLANCK EQUATION NEAR MAXWELLIAN
Authors
Hwang, HJJang, JH
Date Issued
2013-05
Publisher
AIMS
Abstract
We establish the exponential time decay rate of smooth solutions of small amplitude to the Vlasov-Poisson-Fokker-Planck equations to the Maxwellian both in the whole space and in the periodic box via the uniform-in-time energy estimates and also the macroscopic equations.
Keywords
Vlasov-Poisson-Fokker-Planck; hypocoercivity; exponential time decay rate; energy estimates; macroscopic equations; GLOBAL CLASSICAL-SOLUTIONS; BOLTZMANN-EQUATION; 3 DIMENSIONS; SYSTEM; EQUILIBRIUM; TREND; POTENTIALS; EXISTENCE
URI
https://oasis.postech.ac.kr/handle/2014.oak/15511
DOI
10.3934/DCDSB.2013.18.681
ISSN
1531-3492
Article Type
Article
Citation
Discrete and Continuous Dynamical Systems Series-B, vol. 18, no. 3, page. 681 - 691, 2013-05
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