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math.AP2022
Global regularity and decay behavior for Leray equations with critical-dissipation and Its Application to Self-similar Solutions
Changxing Miao, Xiaoxin Zheng
In this paper, we show the global regularity and the optimal decay of weak solutions to the generalized Leray problem with critical dissipation. Our method is based on the maximal…
math.AP2022★ 1 cited
Global-in-time Boundedness of solution for Cauchy problem to the Parabolic-Parabolic Keller-Segel system with logistic growth
Yao Nie, Xiaoxin Zheng
We study global-in-time well-posedness and the behaviour and of the solution to Cauchy problem in the classical Keller-Segel system with logistic term \begin{equation*} \left. \ali…