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math.AP2023
Global existence of weak solutions to the nonlinear Vlasov-Fokker-Planck equation
Young-Pil Choi, Byung-Hoon Hwang, Yeongseok Yoo
In this paper, we study the nonlinear Vlasov-Fokker-Planck equation with fixed collision frequency. We establish the global-in-time existence of weak solutions to the equation with…
math.AP2023
From BGK-alignment model to the pressured Euler-alignment system with singular communication weights
Young-Pil Choi, Byung-Hoon Hwang
This paper is devoted to a rigorous derivation of the isentropic Euler-alignment system with singular communication weights for some . We consider a kinet…