Approximation technique for solving the Vlasov–Poisson problem
✍ Scribed by Z. Parsa; V. Zadorozhny
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 152 KB
- Volume
- 558
- Category
- Article
- ISSN
- 0168-9002
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, we describe the beam distribution in particle accelerators in the framework of a Vlasov-Poisson scheme. A new approach to the investigation and numerical simulation is based on the property of an universality of Maxwell equations, and Ł-moment problem.
In this scheme, it is possible to reduce a problem of an optimal stabilization of the given motion to the Ł-moment problem using its regular approximation technique and well developed computational procedures.
📜 SIMILAR VOLUMES
## Abstract The Poisson–Boltzmann (PB) equation has been extensively used to analyze the energetics and structure of proteins and other significant biomolecules immersed in electrolyte media. A new highly efficient approach for solving PB‐type equations that allows for the modeling of many‐atoms st
## 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
## Abstract This paper deals with existence results for a Vlasov‐Poisson system, equipped with an absorbing‐type law for the Vlasov equation and a Dirichlet‐type boundary condition for the Poisson part. Using the ideas of Lions and Perthame [21], we prove the existence of a weak solution having goo
## Abstract In this paper we show the existence of a weak solution of the boundary value problem for the time dependent Vlasov–Poisson system. First, we regularize the system in order to apply a fixed‐point theorem. Then we pass to the limit using an energy estimate.