8 citations · 17 across the 13 of their papers we have counts for
7 papers
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…
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…
Modulated energy estimates for singular kernels and their applications to asymptotic analyses for kinetic equations
Young-Pil Choi, Jinwook Jung
In this paper, we provide modulated interaction energy estimates for the kernel with , and its applications to quantified asymptotic analyses for kine…
On the region of attraction of phase-locked states for swing equations on connected graphs with inhomogeneous dampings
Young-Pil Choi, Zhuchun Li
We consider the synchronization problem of swing equations, a second-order Kuramoto-type model, on connected networks with inhomogeneous dampings. This was largely motivated by its…
Sharp conditions to avoid collisions in singular Cucker-Smale interactions
Jose A. Carrillo, Young-Pil Choi, Piotr B. Mucha +1
We consider the Cucker-Smale flocking model with a singular communication weight with . We provide a critical value of the exponent in the communication w…
Critical thresholds in 1D Euler equations with nonlocal forces
José A. Carrillo, Young-Pil Choi, Eitan Tadmor +1
We study the critical thresholds for the compressible pressureless Euler equations with pairwise attractive or repulsive interaction forces and non-local alignment forces in veloci…