Structure of solutions to a singular Liouville system arising from modeling dissipative stationary plasmas

Jann Long Chern; Zhi You Chen; Yong Li Tang

doi:10.3934/dcds.2013.33.2299

Structure of solutions to a singular Liouville system arising from modeling dissipative stationary plasmas

Jann Long Chern^*, Zhi You Chen, Yong Li Tang

^*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

Arising from one-particle distribution functions of stationary dissipative plasmas, we consider a coupled elliptic system with singular data in the plane. The existence and uniqueness of solutions to the Dirichlet boundary value problem are proved. In addition, the structure of other solutions, including blow-up solutions, is also clarified.

Original language	English
Pages (from-to)	2299-2318
Number of pages	20
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	33
Issue number	6
DOIs	https://doi.org/10.3934/dcds.2013.33.2299
Publication status	Published - 2013 Jun
Externally published	Yes

Keywords

Dissipative stationary plasma
Liouville system
Structure of solutions

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcds.2013.33.2299

Cite this

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title = "Structure of solutions to a singular Liouville system arising from modeling dissipative stationary plasmas",

abstract = "Arising from one-particle distribution functions of stationary dissipative plasmas, we consider a coupled elliptic system with singular data in the plane. The existence and uniqueness of solutions to the Dirichlet boundary value problem are proved. In addition, the structure of other solutions, including blow-up solutions, is also clarified.",

keywords = "Dissipative stationary plasma, Liouville system, Structure of solutions",

author = "Chern, {Jann Long} and Chen, {Zhi You} and Tang, {Yong Li}",

year = "2013",

month = jun,

doi = "10.3934/dcds.2013.33.2299",

language = "English",

volume = "33",

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journal = "Discrete and Continuous Dynamical Systems- Series A",

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T1 - Structure of solutions to a singular Liouville system arising from modeling dissipative stationary plasmas

AU - Chern, Jann Long

AU - Chen, Zhi You

AU - Tang, Yong Li

PY - 2013/6

Y1 - 2013/6

N2 - Arising from one-particle distribution functions of stationary dissipative plasmas, we consider a coupled elliptic system with singular data in the plane. The existence and uniqueness of solutions to the Dirichlet boundary value problem are proved. In addition, the structure of other solutions, including blow-up solutions, is also clarified.

AB - Arising from one-particle distribution functions of stationary dissipative plasmas, we consider a coupled elliptic system with singular data in the plane. The existence and uniqueness of solutions to the Dirichlet boundary value problem are proved. In addition, the structure of other solutions, including blow-up solutions, is also clarified.

KW - Dissipative stationary plasma

KW - Liouville system

KW - Structure of solutions

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M3 - Article

AN - SCOPUS:84872158752

SN - 1078-0947

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JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 6

ER -

Structure of solutions to a singular Liouville system arising from modeling dissipative stationary plasmas

Abstract

Keywords

ASJC Scopus subject areas

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