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math.AP2025
Large-friction and incompressible limits for pressureless Euler-Navier-Stokes flows
Hai-Liang Li, Ling-Yun Shou, Yue Zhang
We study the global macroscopic limits associated with kinetic-fluid interaction models for sprays. Motivated by the Vlasov-Navier-Stokes system under the monokinetic ansatz, we co…
math.AP2024
Non-existence of classical solutions to a two-phase flow model with vacuum
Hai-Liang Li, Yuexun Wang, Yue Zhang
In this paper, we study the well-posedness of classical solutions to a two-phase flow model consisting of the pressureless Euler equations coupled with the isentropic compressible…
math.AP2023
Exponential Stability of the Inhomogeneous Navier-Stokes-Vlasov System in Vacuum
Hai-Liang Li, Ling-Yun Shou, Yue Zhang
In this paper, we study the asymptotic behaviors of solutions to the inhomogeneous Navier-Stokes-Vlasov system in , where the initial fluid dens…