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

Young-Pil Choi; In-Jee Jeong

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

Analysis of PDEs 2022-02-18 v1

Authors: Young-Pil Choi , In-Jee Jeong

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.

Keywords

Vlasov-Manev-Fokker-Planck weak solutions global existence kinetic systems gravitational potential

Cite

@article{arxiv.2202.08404,
  title  = {Global-in-time existence of weak solutions for Vlasov-Manev-Fokker-Planck system},
  author = {Young-Pil Choi and In-Jee Jeong},
  journal= {arXiv preprint arXiv:2202.08404},
  year   = {2022}
}

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12 pages

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