A shape optimization problem constrained with the Stokes equations to address maximization of vortices

DOI10.3934/eect.2022003zbMath1498.49080arXiv2104.09741OpenAlexW3188985033MaRDI QIDQ2085621

Hirofumi Notsu, John Sebastian Simon

Publication date: 18 October 2022

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.09741

zbMATH Keywords

shape optimizationStokes equationsaugmented Lagrangiandivergence-free deformation fieldsrearrangement method

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with control and optimization (35Q93)

Related Items (1)

A shape design problem for the Navier-Stokes flow with a convective boundary condition

Uses Software

• FreeFem++

Cites Work

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