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

Jann Long Chern, Zhi You Chen, Yong Li Tang

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)2299-2318
Number of pages20
JournalDiscrete and Continuous Dynamical Systems- Series A
Volume33
Issue number6
DOIs
Publication statusPublished - 2013 Jun 1

Fingerprint

Dirichlet Boundary Value Problem
Blow-up Solution
Elliptic Systems
Existence and Uniqueness of Solutions
Coupled System
Distribution Function
Plasma
Plasmas
Modeling
Boundary value problems
Distribution functions

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

@article{2ced2404ae7e472a97a3f8da983523d1,
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.",
author = "Chern, {Jann Long} and Chen, {Zhi You} and Tang, {Yong Li}",
year = "2013",
month = "6",
day = "1",
doi = "10.3934/dcds.2013.33.2299",
language = "English",
volume = "33",
pages = "2299--2318",
journal = "Discrete and Continuous Dynamical Systems",
issn = "1078-0947",
publisher = "Southwest Missouri State University",
number = "6",

}

Structure of solutions to a singular Liouville system arising from modeling dissipative stationary plasmas. / Chern, Jann Long; Chen, Zhi You; Tang, Yong Li.

In: Discrete and Continuous Dynamical Systems- Series A, Vol. 33, No. 6, 01.06.2013, p. 2299-2318.

Research output: Contribution to journalArticle

TY - JOUR

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 - 2013/6/1

Y1 - 2013/6/1

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.

UR - http://www.scopus.com/inward/record.url?scp=84872158752&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84872158752&partnerID=8YFLogxK

U2 - 10.3934/dcds.2013.33.2299

DO - 10.3934/dcds.2013.33.2299

M3 - Article

AN - SCOPUS:84872158752

VL - 33

SP - 2299

EP - 2318

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

SN - 1078-0947

IS - 6

ER -