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arxiv: 1202.2471 · v1 · pith:V2AKG56Bnew · submitted 2012-02-11 · 🧮 math.AP · math-ph· math.MP

The Vlasov-Poisson-Landau System in R³_x

classification 🧮 math.AP math-phmath.MP
keywords systemcloseconvergencecoulombequilibriumexistenceglobalinteraction
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For the Landau-Poisson system with Coulomb interaction in $\R^3_x$, we prove the global existence, uniqueness, and large time convergence rates to the Maxwellian equilibrium for solutions which start out sufficiently close.

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