2022/02/17 by Young-Pil Choi, Choi, Young-Pil, In‐Jee Jeong +1
Mathematics · Physics and Astronomy · #Gas Dynamics and Kinetic Theory #Advanced Mathematical Physics Problems #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.2202.08404
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/r2 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.