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math.AP2022★ 2 cited
Ill-posedness of the hyperbolic Keller-Segel model in Besov spaces
Xiang Fei, Yanghai Yu, Mingwen Fei
In this paper, we give a new construction of such that the corresponding solution to the hyperbolic Keller-Segel model starting from is discontinuous…
math.AP2022★ 2 cited
Sharp Interface Limit for a Navier-Stokes/Allen-Cahn System with Different Viscosities
Helmut Abels, Mingwen Fei
We discuss the sharp interface limit of a coupled Navier-Stokes/Allen-Cahn system in a two dimensional, bounded and smooth domain, when a parameter that is proporti…