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On the stability of vacuum in the screened Vlasov-Poisson equation

Mikaela Iacobelli, Stefano Rossi, Klaus Widmayer

23/10/24 Published in : arXiv:2410.17978

We study the asymptotic behavior of small data solutions to the screened Vlasov-Poisson equation on \mathbb{R}^d\times\mathbb{R}^d near vacuum. We show that for dimensions d≥2, under mild assumptions on localization (in terms of spatial moments) and regularity (in terms of at most three Sobolev derivatives) solutions scatter freely. In dimension d=1, we obtain a long time existence result in analytic regularity.

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Phase I & II research project(s)

  • Statistical Mechanics

Phase III direction(s)

  • Differential equations of Mathematical Physics

Comparison of arm exponents in planar FK-percolation

Ergodicity of 2D singular stochastic Navier--Stokes equations

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