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Global-in-time solutions of the two-dimensional vlasov-poisson systems

✍ Scribed by Stephen Wollman


Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
684 KB
Volume
33
Category
Article
ISSN
0010-3640

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📜 SIMILAR VOLUMES


Global Existence of Regular Solutions fo
✍ Kosuke Ono 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 100 KB

We study the global existence and uniqueness of regular solutions to the Cauchy problem for the Vlasov-Poisson-Fokker-Planck system. Two existence theorems for regular solutions are given under slightly different initial conditions. One of them completely includes the results of P.

Explicit solutions of the one-dimensiona
✍ Stephen Pankavich 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 124 KB

## Abstract A collisionless plasma is modelled by the Vlasov–Poisson system in one dimension. A fixed background of positive charge, dependent only upon velocity, is assumed and the situation in which the mobile negative ions balance the positive charge as |__x__| → ∞ is considered. Thus, the total

Boundary value problem for the N-dimensi
✍ M. Bostan 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 389 KB

## Abstract In this work, we study the existence of time periodic weak solution for the __N__‐dimensional Vlasov–Poisson system with boundary conditions. We start by constructing time periodic solutions with compact support in momentum and bounded electric field for a regularized system. Then, the

Time Decay of the Solutions of the Vlaso
✍ Reinhard Illner; Gerhard Rein 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 207 KB 👁 2 views

We introduce a new identity satisfied by solutions of the Vlasov-Poisson system. It has the property that all quantities which appear have a definite sign, and this allows us to prove new results on the time decay of the solutions in the plasma physical case.

Global weak solutions for the initial–bo
✍ José A. Carrillo 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 254 KB 👁 2 views

This work is devoted to prove the existence of weak solutions of the kinetic Vlasov-Poisson-Fokker-Planck system in bounded domains for attractive or repulsive forces. Absorbing and reflectiontype boundary conditions are considered for the kinetic equation and zero values for the potential on the bo