Global Existence of Classical Solutions to the Inelastic Vlasov-Poisson-Boltzmann System

Sun Ho Choi; Seung Yeal Ha

doi:10.1007/s10955-014-1041-8

Global Existence of Classical Solutions to the Inelastic Vlasov-Poisson-Boltzmann System

Sun Ho Choi, Seung Yeal Ha

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We study the global existence and uniqueness of classical solutions to the inelastic Vlasov-Poisson-Boltzmann system for a soft potential in the near vacuum regime. For the global existence of classical solutions, we assume reasonable conditions on the restitution coefficient, which represents the character of inelastic collisions. We use the smallness of initial data and an algebraically decaying weight function in the spatial variable to control the self-consistence force and collision operator.

Original language	English
Pages (from-to)	948-974
Number of pages	27
Journal	Journal of Statistical Physics
Volume	156
Issue number	5
DOIs	https://doi.org/10.1007/s10955-014-1041-8
Publication status	Published - Sept 2014

Bibliographical note

Funding Information:
Acknowledgments The work of S.-Y. Ha is partially supported by NRF-2009-0083521(SRC) and the work of S.-H. Choi is supported by BK21 Plus-KAIST. Authors also would like to thank anonymous referee for helpful comments.

Keywords

Global existence
Inelastic
Vlasov-Poisson-Boltzmann

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10.1007/s10955-014-1041-8

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title = "Global Existence of Classical Solutions to the Inelastic Vlasov-Poisson-Boltzmann System",

abstract = "We study the global existence and uniqueness of classical solutions to the inelastic Vlasov-Poisson-Boltzmann system for a soft potential in the near vacuum regime. For the global existence of classical solutions, we assume reasonable conditions on the restitution coefficient, which represents the character of inelastic collisions. We use the smallness of initial data and an algebraically decaying weight function in the spatial variable to control the self-consistence force and collision operator.",

keywords = "Global existence, Inelastic, Vlasov-Poisson-Boltzmann",

author = "Choi, {Sun Ho} and Ha, {Seung Yeal}",

note = "Funding Information: Acknowledgments The work of S.-Y. Ha is partially supported by NRF-2009-0083521(SRC) and the work of S.-H. Choi is supported by BK21 Plus-KAIST. Authors also would like to thank anonymous referee for helpful comments.",

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AU - Choi, Sun Ho

AU - Ha, Seung Yeal

N1 - Funding Information: Acknowledgments The work of S.-Y. Ha is partially supported by NRF-2009-0083521(SRC) and the work of S.-H. Choi is supported by BK21 Plus-KAIST. Authors also would like to thank anonymous referee for helpful comments.

PY - 2014/9

Y1 - 2014/9

N2 - We study the global existence and uniqueness of classical solutions to the inelastic Vlasov-Poisson-Boltzmann system for a soft potential in the near vacuum regime. For the global existence of classical solutions, we assume reasonable conditions on the restitution coefficient, which represents the character of inelastic collisions. We use the smallness of initial data and an algebraically decaying weight function in the spatial variable to control the self-consistence force and collision operator.

AB - We study the global existence and uniqueness of classical solutions to the inelastic Vlasov-Poisson-Boltzmann system for a soft potential in the near vacuum regime. For the global existence of classical solutions, we assume reasonable conditions on the restitution coefficient, which represents the character of inelastic collisions. We use the smallness of initial data and an algebraically decaying weight function in the spatial variable to control the self-consistence force and collision operator.

KW - Global existence

KW - Inelastic

KW - Vlasov-Poisson-Boltzmann

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DO - 10.1007/s10955-014-1041-8

M3 - Article

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SP - 948

EP - 974

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 5

ER -

Global Existence of Classical Solutions to the Inelastic Vlasov-Poisson-Boltzmann System

Abstract

Bibliographical note

Keywords

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