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The Vlasov–Poisson–Landau System in \({\mathbb{R}^{3}_{x}}\)

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Abstract

For the Landau–Poisson system with Coulomb interaction in \({\mathbb{R}^{3}_{x}}\), 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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Authors and Affiliations

  1. Department of Mathematics, University of Pennsylvania, David Rittenhouse Lab, 209 South 33rd Street, Philadelphia, PA, 19104-6395, USA

    Robert M. Strain & Keya Zhu

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  1. Robert M. Strain
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  2. Keya Zhu
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Correspondence to Robert M. Strain.

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Communicated by C. Dafermos

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Strain, R.M., Zhu, K. The Vlasov–Poisson–Landau System in \({\mathbb{R}^{3}_{x}}\) . Arch Rational Mech Anal 210, 615–671 (2013). https://doi.org/10.1007/s00205-013-0658-0

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  • DOI: https://doi.org/10.1007/s00205-013-0658-0

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