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
shape optimizationStokes equationsaugmented Lagrangiandivergence-free deformation fieldsrearrangement method
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)
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