Double Layer Solutions of the Vlasov–Poisson System

Masahiro Suzuki, Masahiro Takayama

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We consider the boundary value problem of the stationary Vlasov–Poisson system in a half line. In another paper, we clarified completely when there is a single layer solution, that is a solution whose electrostatic potential is monotone. In this paper, we study the possibility of the existence of double layer solutions whose electrostatic potential has a unique critical point and extremum.

Original languageEnglish
Title of host publicationGas Dynamics with Applications in Industry and Life Sciences - On Gas Kinetic/Dynamics and Life Science Seminar
EditorsMohammad Asadzadeh, Larisa Beilina, Shigeru Takata
PublisherSpringer
Pages41-52
Number of pages12
ISBN (Print)9783031358708
DOIs
Publication statusPublished - 2023
EventAnnual workshops for Swedish Alumni Club of Japan Society for the Promotion of Science, JSPS/SAC 2021 and 2022 - Virtual, Online
Duration: 2022 Mar 172022 Mar 18

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume429
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceAnnual workshops for Swedish Alumni Club of Japan Society for the Promotion of Science, JSPS/SAC 2021 and 2022
CityVirtual, Online
Period22/3/1722/3/18

Keywords

  • Bohm criterion
  • Boundary layer
  • Plasma

ASJC Scopus subject areas

  • General Mathematics

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