A three-dimensional variational problem in the gasdynamic theory of a lubricant

1976 ◽  
Vol 10 (5) ◽  
pp. 736-741 ◽  
Author(s):  
Yu. Ya. Boldyrev ◽  
V. A. Troitskii
Keyword(s):  
Variational Problem ◽  
Three Dimensional ◽  
Dimensional Variational Problem

Variational problem of optimum side wall design for a narrow three-dimensional nozzle

1992 ◽  
Vol 27 (2) ◽  
pp. 230-238
Author(s):  
A. N. Kraiko ◽  
A. R. Polyanskii ◽  
N. I. Tillyaeva
Keyword(s):  
Variational Problem ◽  
Three Dimensional ◽  
Side Wall

scholarly journals Variational Problem Involving Operator Curl in a Multiconnected Domain

2016 ◽  
Vol 2016 ◽  
pp. 1-8
Author(s):  
Junichi Aramaki
Keyword(s):  
Variational Problem ◽  
Minimization Problem ◽  
Vector Fields ◽  
Three Dimensional ◽  
Tangential Component ◽  
Multiconnected Domain

We shall study the problem of minimizing a functional involving the curl of vector fields in a three-dimensional, bounded multiconnected domain with prescribed tangential component on the boundary. The paper is an extension of L2 minimization problem of the curl of vector fields. We shall prove the existence and the estimate of minimizers of more general functional which contains Lp norm of the curl of vector fields.

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