scholarly journals Reverse isoperimetric inequality in two-dimensional Alexandrov spaces

2017 ◽  
Vol 145 (10) ◽  
pp. 4465-4471 ◽  
Author(s):  
Alexander A. Borisenko
Keyword(s):  
Isoperimetric Inequality ◽  
Two Dimensional ◽  
Alexandrov Spaces ◽  
Reverse Isoperimetric Inequality

ISOPERIMETRIC INEQUALITY FOR A CORNER HELE–SHAW DYNAMICS

2005 ◽  
Vol 03 (03) ◽  
pp. 285-291
Author(s):  
ALEXANDER VASIL'EV
Keyword(s):  
Isoperimetric Inequality ◽  
Conformal Radius ◽  
Two Dimensional ◽  
Area Growth

We consider a two-dimensional Hele–Shaw flow in a wedge under injection into wedge's vertex. An isoperimetric inequality is obtained. It shows that the rate of the area growth is controlled by a special conformal quantity-triangle conformal radius.

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