most citedThe hyperbolic-parabolic chemotaxis system for vasculogenesis: global dynamics and relaxation limit toward a Keller-Segel model

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math.AP2022

Incompressible limits of Patlak-Keller-Segel model and its stationary state

Qingyou He, Hai-Liang Li, Benoît Perthame

We complete previous results about the incompressible limit of both the -dimensional compressible Patlak-Keller-Segel (PKS) model and its stationary state. As in prev…

math.AP2022★ 1 cited

The hyperbolic-parabolic chemotaxis system for vasculogenesis: global dynamics and relaxation limit toward a Keller-Segel model

Timothée Crin-Barat, Qingyou He, Ling-Yun Shou

An Euler-type hyperbolic-parabolic system of chemotactic aggregation describing the vascular network formation is investigated in the critical regularity setting. For small initial…