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Global strong solutions in mathbb{R}^3 for ionic Vlasov-Poisson systems

Megan Griffin-Pickering, Mikaela Iacobelli

26/6/20 Published in : arXiv:2006.14898

Systems of Vlasov-Poisson type are kinetic models describing dilute plasma. The structure of the model differs according to whether it describes the electrons or positively charged ions in the plasma. In contrast to the electron case, where the well-posedness theory for Vlasov-Poisson systems is well established, the well-posedness theory for ion models has been investigated more recently. In this article, we prove global well-posedness for two Vlasov-Poisson systems for ions, posed on the whole three-dimensional Euclidean space

\mathbb{R}^3

, under minimal assumptions on the initial data and the confining potential.

Entire article

Research project(s)

  • Statistical Mechanics

The appearance of particle tracks in detectors

From Newton's second law to Euler's equations of perfect fluids

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