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math.AP2022
Local well-posedness for the compressible Navier-Stokes-BGK model in Sobolev spaces with exponential weight
Young-Pil Choi, Jinwook Jung
Sprays are complex flows constituted of dispersed particles in an underlying gas. In this paper, we are interested in the equations for moderately thick sprays consisting of the co…
math.AP2022
Global-in-time existence of weak solutions for Vlasov-Manev-Fokker-Planck system
Young-Pil Choi, In-Jee Jeong
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…
math.AP2022
Well-posedness and singularity formation for Vlasov--Riesz system
Young-Pil Choi, In-Jee Jeong
We investigate the Cauchy problem for the Vlasov--Riesz system, which is a Vlasov equation featuring an interaction potential generalizing previously studied cases, including the C…