Shape optimization in viscous compressible fluids

DOI10.1007/s00245-002-0737-3zbMath1013.49029OpenAlexW1989070662WikidataQ59316736 ScholiaQ59316736MaRDI QIDQ1871849

Eduard Feireisl

Publication date: 4 May 2003

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-002-0737-3

zbMATH Keywords

Navier-Stokes equationscompressible flowoptimal shape design

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Optimization of shapes other than minimal surfaces (49Q10)

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Dirichlet boundary valued problems for linear and nonlinear wave equations on arbitrary and fractal domains ⋮ Shape optimization for Navier-Stokes equations with algebraic turbulence model: existence analysis ⋮ Topology optimization of convective laminar heat transfer ⋮ Shape optimization in two-dimensional viscous compressible fluids ⋮ Robust obstacle reconstruction in an elastic medium ⋮ Shape Sensitivity Analysis for Compressible Navier-Stokes Equations ⋮ A cylindrical pipe is not optimal to minimize the energy dissipated by a fluid ⋮ Asymptotic analysis of steady and nonsteady Navier-Stokes equations for barotropic compressible flow ⋮ What is the optimal shape of a pipe? ⋮ Non-Lipschitz Uniform Domain Shape Optimization in Linear Acoustics ⋮ Shape optimization in compressible liquid crystals

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