On global existence for the Vlasov-Poisson system in a half space
SCIE
SCOPUS
- Title
- On global existence for the Vlasov-Poisson system in a half space
- Authors
- Hwang, HJ; Velazquez, JJL
- Date Issued
- 2009-09-15
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Abstract
- We prove global existence for the Vlasov-Poisson system in a half space in the plasma physics case assuming homogeneous Dirichlet boundary conditions for the electric potential. Our proof uses an adaptation of Pfaffelmoser's method and it provides also a different proof of the previously known global existence results for the Vlasov-Poisson system in a half space with Neumann boundary conditions for the electric potential. We also obtain a large class of one-dimensional stationary solutions for the problem with Neumann boundary conditions. (C) 2009 Elsevier Inc. All rights reserved.
- Keywords
- Vlasov-Poisson; Pfaffelmoser method; Dirichlet boundary conditions; Global existence; Half space; 3 DIMENSIONS; INITIAL DATA; REGULARITY; GROWTH
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/27608
- DOI
- 10.1016/J.JDE.2009.06.004
- ISSN
- 0022-0396
- Article Type
- Article
- Citation
- JOURNAL OF DIFFERENTIAL EQUATIONS, vol. 247, no. 6, page. 1915 - 1948, 2009-09-15
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