scholarly journals Invariant Measures for the Stochastic von Karman Plate Equation

2005 ◽  
Vol 36 (5) ◽  
pp. 1689-1703 ◽  
Author(s):  
Jong Uhn Kim
Keyword(s):  
Invariant Measures ◽  
Plate Equation ◽  
Von Karman ◽  
Von Kármán Plate ◽  
Von Kármán

Bilinear optimal control of the velocity term in a von Kármán plate equation

2013 ◽  
Vol 54 ◽  
pp. 291
Author(s):  
Jong Yeoul Park ◽  
Sun Hye Park ◽  
Yong Han Kang
Keyword(s):  
Optimal Control ◽  
Plate Equation ◽  
Von Karman ◽  
Von Kármán Plate ◽  
Von Kármán

scholarly journals BILINEAR OPTIMAL CONTROL OF THE VELOCITY TERM IN A VON KÁRMÁN PLATE EQUATION

2013 ◽  
Vol 54 (4) ◽  
pp. 291-305
Author(s):  
JONG YEOUL PARK ◽  
SUN HYE PARK ◽  
YONG HAN KANG
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Existence Of Solutions ◽  
Plate Equation ◽  
Spatial Variables ◽  
Von Karman ◽  
Von Kármán Plate ◽  
Von Kármán ◽  
Objective Functional

AbstractWe consider a bilinear optimal control problem for a von Kármán plate equation. The control is a function of the spatial variables and acts as a multiplier of the velocity term. We first state the existence of solutions for the von Kármán equation and then derive optimality conditions for a given objective functional. Finally, we show the uniqueness of the optimal control.

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