scholarly journals Sharp Estimates for Green’s Functions of Cone-Type Planar Domains

2016 ◽  
Vol 2016 ◽  
pp. 1-11
Author(s):  
Mohamed Amine Ben Boubaker ◽  
Mohamed Selmi
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
Conformal Mappings ◽  
Sharp Estimates ◽  
Planar Domains ◽  
Cone Type

We establish sharp estimates for Green’s functions of cone-type planar domains. Our work generalizes all estimates given by Zhao in 1988 and Selmi in 2000. Our principal idea is to use conformal mappings.

Temperature field evaluation of a two-dimensional partial heat flow problem through Green's Functions

2019 ◽  
Author(s):  
Guilherme Ramalho Costa ◽  
José Aguiar santos junior ◽  
José Ricardo Ferreira Oliveira ◽  
Jefferson Gomes do Nascimento ◽  
Gilmar Guimaraes
Keyword(s):  
Temperature Field ◽  
Heat Flow ◽  
Green's Functions ◽  
Flow Problem ◽  
Green’S Functions ◽  
Field Evaluation ◽  
Two Dimensional
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