scholarly journals Asymptotic convergence of solutions of Keller–Segel equations in network shaped domains

2020 ◽  
Vol 197 ◽  
pp. 111839
Author(s):  
Satoru Iwasaki
Keyword(s):  
Asymptotic Convergence ◽  
Convergence Of Solutions

scholarly journals Global existence and convergence of solutions of the Calabi flow on Einstein 4-manifolds

2001 ◽  
Vol 163 ◽  
pp. 193-214 ◽  
Author(s):  
Shu-Cheng Chang
Keyword(s):  
Global Existence ◽  
Asymptotic Convergence ◽  
Type Estimate ◽  
Convergence Of Solutions ◽  
Calabi Flow ◽  
Long Time Existence ◽  
Long Time ◽  
Bondi Mass ◽  
Time Existence ◽  
Mass Type

In this paper, firstly, we show the Bondi-mass type estimate of solutions of Calabi flow on closed 4-manifolds. Secondly, in our applications, we obtain the long time existence on closed 4-manifolds. In particular, we are able to show the asymptotic convergence of a subsequence of solutions of the Calabi flow on closed Einstein 4-manifolds.

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