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math.AP2025
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…
math.AP2025
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-…