scholarly journals Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions

2004 ◽  
Vol 21 (6) ◽  
pp. 807-826 ◽  
Author(s):  
F. Guillén-González ◽  
M.A. Rodrı́guez-Bellido ◽  
M.A. Rojas-Medar
Keyword(s):  
Boundary Conditions ◽  
Stokes Equations ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Smooth Data

scholarly journals On the Resolution of an Inverse Problem by Shape Optimization Techniques

2019 ◽  
Vol 2019 ◽  
pp. 1-6
Author(s):  
Chahnaz Zakia Timimoun
Keyword(s):  
Inverse Problem ◽  
Boundary Conditions ◽  
Shape Optimization ◽  
Stokes Equations ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Optimization Methods ◽  
Optimization Techniques ◽  
The Body ◽  
Cost Functional

In this work, we want to detect the shape and the location of an inclusion ω via some boundary measurement on ∂Ω. In practice, the body ω is immersed in a fluid flowing in a greater domain Ω and governed by the Stokes equations. We study the inverse problem of reconstructing ω using shape optimization methods by defining the Kohn-Vogelius cost functional. We aim to study the inverse problem with Neumann and mixed boundary conditions.

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