scholarly journals Linear stability of stationary solutions of the Vlasov-Poisson system in three dimensions

1995 ◽  
Vol 130 (2) ◽  
pp. 163-182 ◽  
Author(s):  
J�rgen Batt ◽  
Philip J. Morrison ◽  
Gerhard Rein
Keyword(s):  
Linear Stability ◽  
Stationary Solutions ◽  
Three Dimensions ◽  
Poisson System

Existence and stability of static shells for the Vlasov–Poisson system

Analysis ◽  
2006 ◽  
Vol 26 (4) ◽  
Author(s):  
Achim Schulze
Keyword(s):  
Spherical Symmetry ◽  
Variational Approach ◽  
Stationary Solutions ◽  
Poisson System ◽  
Existence And Stability

We prove the existence and stability of stationary solutions to the Vlasov–Poisson System with spherical symmetry, which describe static shells, i.e., the support of their densities is bounded away from the origin. We use a variational approach which was established by Y. Guo and G. Rein.

scholarly journals IWP SOLUTIONS FOR HETEROTIC STRING IN FIVE DIMENSIONS

1998 ◽  
Vol 13 (24) ◽  
pp. 1979-1986 ◽  
Author(s):  
ALFREDO HERRERA-AGUILAR ◽  
OLEG KECHKIN
Keyword(s):  
Stationary Solutions ◽  
Heterotic String ◽  
Three Dimensions ◽  
Gauge Fields ◽  
Energy Limit ◽  
Heterotic String Theory ◽  
Five Dimensions ◽  
Ernst Potential ◽  
The Matrix ◽  
Extremality Condition

We obtain extremal stationary solutions that generalize the Israel–Wilson–Perjés class for the low-energy limit of heterotic string theory with n≥ 3U(1) gauge fields toroidally compactified from five to three dimensions. A dyonic solution is obtained using the matrix Ernst potential (MEP) formulation and expressed in terms of a single real (3×3)-matrix harmonic function. By studying the asymptotic behavior of the field configurations, we define the physical charges of the field system. The extremality condition makes the charges saturate the Bogomol'nyi–Prasad–Sommmerfield (BPS) bound.

Nonneutral Global Solutions for the Electron Euler--Poisson System in Three Dimensions

2013 ◽  
Vol 45 (1) ◽  
pp. 267-278 ◽  
Author(s):  
Pierre Germain ◽  
Nader Masmoudi ◽  
Benoit Pausader
Keyword(s):  
Global Solutions ◽  
Three Dimensions ◽  
Poisson System

scholarly journals Existence and stability of static shells for the Vlasov–Poisson system with a fixed central point mass

2009 ◽  
Vol 146 (2) ◽  
pp. 489-511
Author(s):  
ACHIM SCHULZE
Keyword(s):  
Black Hole ◽  
Simple Model ◽  
Variational Approach ◽  
Existence Result ◽  
Stationary Solutions ◽  
Point Mass ◽  
Classical Solutions ◽  
Poisson System ◽  
Existence And Stability ◽  
Global Existence Result

AbstractWe consider the Vlasov–Poisson system with spherical symmetry and an exterior potential which is induced by a point mass in the center. This system can be used as a simple model for a newtonian galaxy surrounding a black hole. For this system, we establish a global existence result for classical solutions with shell-like initial data, i.e. the support of the density is bounded away from the point mass singularity. We also prove existence and stability of stationary solutions which describe static shells, where we use a variational approach which was established by Y. Guo and G. Rein.

Linear stability of the Vlasov–Poisson system with boundary conditions

2016 ◽  
Vol 139 ◽  
pp. 75-105 ◽  
Author(s):  
Emre Esenturk ◽  
Hyung-Ju Hwang
Keyword(s):  
Boundary Conditions ◽  
Linear Stability ◽  
Poisson System

Stationary Solutions of the Flat Vlasov–Poisson System

2018 ◽  
Vol 231 (1) ◽  
pp. 189-232 ◽  
Author(s):  
Jürgen Batt ◽  
Enno Jörn ◽  
Yi Li
Keyword(s):  
Stationary Solutions ◽  
Poisson System
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