Establishes homeomorphic modified wave operators for the Vlasov-Poisson system proving modified scattering for small data and asymptotic stability for large spherically symmetric repulsive solutions.
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For localized initial data, solutions to the Vlasov-Poisson system in C^3 convex domains with conducting walls have velocities asymptotically supported in the closure of a new asymptotic domain D_∞ and exhibit modified scattering.
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Homeomorphic modified wave operators for the Vlasov-Poisson system
Establishes homeomorphic modified wave operators for the Vlasov-Poisson system proving modified scattering for small data and asymptotic stability for large spherically symmetric repulsive solutions.
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The Vlasov-Poisson system with a perfectly conducting wall: Convex domains
For localized initial data, solutions to the Vlasov-Poisson system in C^3 convex domains with conducting walls have velocities asymptotically supported in the closure of a new asymptotic domain D_∞ and exhibit modified scattering.