Time-asymptotic behavior of the Vlasov-Poisson-Boltzmann system near vacuum
SCIE
SCOPUS
- Title
- Time-asymptotic behavior of the Vlasov-Poisson-Boltzmann system near vacuum
- Authors
- Chae, M; Ha, SY; Hwang, HJ
- Date Issued
- 2006-11-01
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Abstract
- We present a collision potential for the Vlasov-Poisson-Boltzmann system near vacuum in plasma physics case. This potential measures the future possible collisions between charged particles with different velocities and satisfies a time-decay estimate. We use this time-decay property of the functional to show that the dynamics of the Vlasov-Poisson-Boltzmann is time-asymptotically equivalent to that of the corresponding linear Vlasov equation, when initial datum is small and decays fast enough in phase space as in [Y. Guo, The Vlasov-Poisson-Boltzmann system near vacuum, Comm. Math. Phys. 218 (2001) 293-313]. (c) 2006 Elsevier Inc. All rights reserved.
- Keywords
- Vlasov-Poisson-Boltzmann system; collision potential; large-time behavior; GLOBAL EXISTENCE; INFINITE VACUUM; EQUATION
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29537
- DOI
- 10.1016/j.jde.2006.07.006
- ISSN
- 0022-0396
- Article Type
- Article
- Citation
- JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 230, no. 1, page. 71 - 85, 2006-11-01
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