Uniqueness for weak solutions of a one-dimensional boundary value problem for the Vlasov-Poisson system |
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| Authors: | Hyung Ju Hwang Jack Schaeffer |
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| Affiliation: | a Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, Republic of Korea
b Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213, USA |
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| Abstract: | The Vlasov-Poisson system models a collisionless plasma. When a boundary condition is included in the problem it is known that singularities can occur but that weak solutions exist globally in time. This article shows that the weak solution is unique for a problem in one dimension with specular reflection at the boundary. |
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