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- W3212565264 abstract "In this work, we consider the Vlasov-Poisson-Boltzmann system without angular cutoff and the Vlasov-Poisson-Landau system with Coulomb potential near a global Maxwellian $mu$. We establish the global existence, uniqueness and large time behavior for solutions in a polynomial-weighted Sobolev space $H^2_{x, v}( langle v rangle^k)$ for some constant $k >0$. The proof is based on extra dissipation generated from semigroup method and energy estimates on electrostatic field." @default.
- W3212565264 created "2021-11-22" @default.
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- W3212565264 date "2021-11-10" @default.
- W3212565264 modified "2023-10-18" @default.
- W3212565264 title "The Vlasov-Poisson-Boltzmann/Landau system with polynomial perturbation near Maxwellian" @default.
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- W3212565264 doi "https://doi.org/10.48550/arxiv.2111.05569" @default.
- W3212565264 hasPublicationYear "2021" @default.
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