Global well-posedness for the Vlasov-Poisson system with massless electrons in the 3-dimensional torus
نویسندگان
چکیده
The Vlasov-Poisson system with massless electrons (VPME) is widely used in plasma physics to model the evolution of ions a plasma. It differs from (VP) for that Poisson coupling has an exponential nonlinearity creates several mathematical difficulties. In particular, while global well-posedness 3 D well understood electron case, this problem remained completely open ion electrons. aim paper fill gap by proving uniqueness VPME class solutions bounded density, and existence density general initial data, generalising all previous results known VP.
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ژورنال
عنوان ژورنال: Communications in Partial Differential Equations
سال: 2021
ISSN: ['1532-4133', '0360-5302']
DOI: https://doi.org/10.1080/03605302.2021.1913750