9 papers
Global large smooth solutions and overdamped limits for the damped isothermal Euler-Poisson system
Young-Pil Choi, Jinwook Jung
We consider the isothermal Euler-Poisson system with linear damping on a periodic domain in the large damping regime. For arbitrarily large smooth initial data with density bounded…
Quantitative light-particle limit for the Vlasov-Fokker-Planck-Navier-Stokes system
Young-Pil Choi, Jinwook Jung
We investigate the hydrodynamic limit of the Vlasov-Fokker-Planck-Navier-Stokes system in the light particle regime, where the particle relaxation takes place on a singularly fast…
A unified relative entropy framework for macroscopic limits of Vlasov--Fokker--Planck equations
Young-Pil Choi, Jinwook Jung
We develop a unified relative entropy framework for macroscopic limits of kinetic equations with Riesz-type interactions and Fokker-Planck relaxation. Our analysis covers three pro…
Coupled Vlasov and non-Newtonian fluid dynamics: existence and large-time behavior
Young-Pil Choi, Jinwook Jung, Aneta Wróblewska-Kamińska
We study a coupled kinetic-non-Newtonian fluid system on the periodic domain , where particles evolve by a Vlasov equation and interact with an incompressible power-…
Global smooth solutions to the irrotational Euler-Riesz system in three dimensions
Young-Pil Choi, Jinwook Jung, Yoonjung Lee
This paper investigates the global dynamics of the Euler--Riesz system in three dimensions, focusing on the well-posedness and large-time behavior of solutions near equilibrium. Th…
Enhanced dissipation and temporal decay in the Euler-Poisson-Navier-Stokes equations
Young-Pil Choi, Houzhi Tang, Weiyuan Zou
This paper investigates the global well-posedness and large-time behavior of solutions for a coupled fluid model in consisting of the isothermal compressible Euler-P…
On well/ill-posedness for the generalized surface quasi-geostrophic equations in Hölder spaces
Young-Pil Choi, Jinwook Jung, Junha Kim
We establish the well/ill-posedness theories for the inviscid -surface quasi-geostrophic (-SQG) equations in Hölder spaces, where and correspond to the two-dime…
The global Cauchy problem for the Euler-Riesz equations
Young-Pil Choi, Jinwook Jung, Yoonjung Lee
We completely resolve the global Cauchy problem for the multi-dimensional Euler-Riesz equations, where the interaction forcing is given by for some $σ\in (0,2…
Damped Euler system with attractive Riesz interaction forces
Young-Pil Choi, Jinwook Jung, Yoonjung Lee
We consider the barotropic Euler equations with pairwise attractive Riesz interactions and linear velocity damping in the periodic domain. We establish the global-in-time well-pose…