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- Title
On the unique solvability of initial boundary value problems for the Vlasov-Poisson system of equations in a half-space.
- Authors
Skubachevskii, A.
- Abstract
The article focuses on the solvability and solution stability to the Vlasov-Poisson equation system in a half-space. It states that global classical equations have been considered for other mathematical problems such as the Cauchy problem and initial boundary value problems. It says that elliptic problems in nonlocal boundary conditions are comprised in various theories such as the plasma control, multidimensional diffusion processes and elliptic functional-differential equations. It offers a numerical solution for the Vlasov-Poisson system with an initial and Neumann boundary condition.
- Subjects
POISSON algebras; NUMERICAL solutions to boundary value problems; NUMERICAL solutions to initial value problems; VON Neumann algebras; NUMERICAL solutions to functional differential equations; NUMERICAL solutions to the Cauchy problem; NUMERICAL solutions to elliptic equations; DIFFUSION processes; MATHEMATICAL models
- Publication
Doklady Mathematics, 2012, Vol 85, Issue 2, p255
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562412020263