Stability of critical shapes for the drag minimization problem in Stokes flow

DOI10.1016/J.MATPUR.2013.01.003zbMATH Open1278.49048OpenAlexW2033062896MaRDI QIDQ391376

Fabien Caubet, M. Dambrine

Publication date: 10 January 2014

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2013.01.003

zbMATH Keywords

Stokes equationsdrag minimizationoptimal profilesshape calculusshape Hessianstability of critical shape

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimization of shapes other than minimal surfaces (49Q10) Flow control and optimization for incompressible viscous fluids (76D55) PDEs in connection with control and optimization (35Q93)

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Related Items (6)

Computing quantities of interest for random domains with second order shape sensitivity analysis ⋮ On the Detection of Small Moving Disks in a Fluid ⋮ Stability in shape optimization with second variation ⋮ Steady Navier-Stokes equations in planar domains with obstacle and explicit bounds for unique solvability ⋮ Eight(y) mathematical questions on fluids and structures ⋮ Drag minimization for Stokes flow

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