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- W2950356811 abstract "We study the instability of solutions to the relativistic Vlasov-Maxwell systems in two limiting regimes: the classical limit when the speed of light tends to infinity and the quasineutral limit when the Debye length tends to zero. First, in the classical limit $varepsilon to 0$, with $varepsilon$ being the inverse of the speed of light, we construct a family of solutions that converge initially polynomially fast to a homogeneous solution $mu$ of Vlasov-Poisson in arbitrarily high Sobolev norms, but become of order one away from $mu$ in arbitrary negative Sobolev norms within time of order $|log varepsilon|$. Second, we deduce the invalidity of the quasineutral limit in $L^2$ in arbitrarily short time." @default.
- W2950356811 created "2019-06-27" @default.
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- W2950356811 date "2015-06-29" @default.
- W2950356811 modified "2023-09-27" @default.
- W2950356811 title "Nonlinear instability of Vlasov-Maxwell systems in the classical and quasineutral limits" @default.
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