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The Vlasov-Poisson-Landau System in $\R^3_x$

Analysis of PDEs 2016-02-22 v1 Mathematical Physics math.MP

Abstract

For the Landau-Poisson system with Coulomb interaction in Rx3\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.

Keywords

Cite

@article{arxiv.1202.2471,
  title  = {The Vlasov-Poisson-Landau System in $\R^3_x$},
  author = {Robert M. Strain and Keya Zhu},
  journal= {arXiv preprint arXiv:1202.2471},
  year   = {2016}
}

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50 pages