Non-Lipschitz Uniform Domain Shape Optimization in Linear Acoustics
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Publication:5858101
DOI10.1137/20M1361687zbMath1465.76087arXiv2008.10222OpenAlexW3127172425MaRDI QIDQ5858101
Anna Rozanova-Pierrat, Alexander Teplyaev, Michael Hinz
Publication date: 9 April 2021
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.10222
existenceMosco convergencetraceextensionmixed boundary value problemvariational convergenceuniform domainfractal boundary
PDEs in connection with fluid mechanics (35Q35) Hydro- and aero-acoustics (76Q05) Flow control and optimization for compressible fluids and gas dynamics (76N25)
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Dirichlet boundary valued problems for linear and nonlinear wave equations on arbitrary and fractal domains, Analysis of general shape optimization problems in nonlinear acoustics, 3D Koch-type crystals, Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes, Computing eigenvalues of the Laplacian on rough domains, Density of states for the Anderson model on nested fractals, On the existence of optimal shapes in architecture, Mixed boundary valued problems for linear and nonlinear wave equations in domains with fractal boundaries
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