Abstract. We present a method for solving the optimal shape problems for profiles surrounded by viscous compressible fluids. The class of admissible profiles is quite general including the minimal volume condition and a constraint on the thickness of the boundary. The fluid flow is modelled by the Navier—Stokes system for a general viscous barotropic fluid.
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Feireisl, . Shape Optimization in Viscous Compressible Fluids . Appl Math Optim 47, 59–78 (2002). https://doi.org/10.1007/s00245-002-0737-3
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DOI: https://doi.org/10.1007/s00245-002-0737-3