Global well-posedness for the Vlasov-Poisson system with massless electrons in the 3-dimensional torus
| Autor: | Mikaela Iacobelli, Megan Griffin-Pickering |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
FOS: Physical sciences
Electron 01 natural sciences Ion Mathematics - Analysis of PDEs Physics::Plasma Physics FOS: Mathematics 0101 mathematics Ionic Vlasov-Poisson systems well-posedness theory plasma Mathematical Physics Mathematics Applied Mathematics 010102 general mathematics Torus Mathematical Physics (math-ph) Plasma 010101 applied mathematics Massless particle Quantum electrodynamics Physics::Space Physics Poisson system Analysis Well posedness Analysis of PDEs (math.AP) |
| Zdroj: | Communications in Partial Differential Equations, 46 (10) Communications in partial differential equations, 2021, Vol.46(10), pp.1892-1939 [Peer Reviewed Journal] |
| ISSN: | 0360-5302 1532-4133 |
| Popis: | The Vlasov-Poisson system with massless electrons (VPME) is widely used in plasma physics to model the evolution of ions in a plasma. It differs from the Vlasov-Poisson system (VP) for electrons in that the Poisson coupling has an exponential nonlinearity that creates several mathematical difficulties. In particular, while global well-posedness in 3 D is well understood in the electron case, this problem remained completely open for the ion model with massless electrons. The aim of this paper is to fill this gap by proving uniqueness for VPME in the class of solutions with bounded density, and global existence of solutions with bounded density for a general class of initial data, generalising all the previous results known for VP. Communications in Partial Differential Equations, 46 (10) ISSN:0360-5302 ISSN:1532-4133 |
| Databáze: | OpenAIRE |
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