A new parabolic variational inequality formulation of Signorini's condition for non-steady seepage problems with complex seepage control systems

2010 ◽  
Vol 35 (9) ◽  
pp. 1034-1058 ◽  
Author(s):  
Yifeng Chen ◽  
Ran Hu ◽  
Chuangbing Zhou ◽  
Dianqing Li ◽  
Guan Rong
Keyword(s):  
Variational Inequality ◽  
Control Systems ◽  
Parabolic Variational Inequality ◽  
Seepage Control ◽  
Steady Seepage ◽  
Signorini's Condition

scholarly journals Topological degree and application to a parabolic variational inequality problem

2001 ◽  
Vol 25 (4) ◽  
pp. 273-287 ◽  
Author(s):  
A. Addou ◽  
B. Mermri
Keyword(s):  
Variational Inequality ◽  
Topological Degree ◽  
Variational Inequality Problem ◽  
Maximal Monotone ◽  
Maximal Monotone Operators ◽  
Monotone Operators ◽  
Parabolic Variational Inequality ◽  
Inequality Problem ◽  
Monotone Map ◽  
New Formulation

We are interested in constructing a topological degree for operators of the formF=L+A+S, whereLis a linear densely defined maximal monotone map,Ais a bounded maximal monotone operators, andSis a bounded demicontinuous map of class(S+)with respect to the domain ofL. By means of this topological degree we prove an existence result that will be applied to give a new formulation of a parabolic variational inequality problem.

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