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arXiv · 2202.08404

Global-in-time existence of weak solutions for Vlasov-Manev-Fokker-Planck system

Young-Pil Choi·In-Jee Jeong
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Abstract

We consider the Vlasov-Manev-Fokker-Planck (VMFP) system in three dimensions, which differs from the Vlasov-Poisson-Fokker-Planck in that it has the gravitational potential of the form $-1/r - 1/r^2$ instead of the Newtonian one. For the VMFP system, we establish the global-in-time existence of weak solutions. The proof extends to several related kinetic systems.

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Young-Pil Choi, In-Jee Jeong. 2022-02-17. Global-in-time existence of weak solutions for Vlasov-Manev-Fokker-Planck system. https://arxiv.org/abs/2202.08404

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