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Existence theory in nonsmooth domains. Shape optimization, continuity of the work functional

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Compressible Navier-Stokes Equations

Part of the book series: Monografie Matematyczne ((MONOGRAFIE,volume 73))

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Abstract

In this section we employ the main stability theorem (Theorem 9.3.1) and Proposition 8.3.6 to prove that the flow problem around an obstacle has a renormalized solution for every compact obstacle. The corresponding result is given by the following theorem, which is one of the main results of this monograph.

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Plotnikov, P., Sokołowski, J. (2012). Existence theory in nonsmooth domains. Shape optimization, continuity of the work functional. In: Compressible Navier-Stokes Equations. Monografie Matematyczne, vol 73. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0367-0_10

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