Abstract
The aim of the this is to extend the L p -Theory for incompressible Newtonian flows subject to one of the energy preserving respectively artificial boundary conditions introduced in Chapter 2, which has been developed for bounded smooth domains in Chapters 3 – 7, to a certain class of domains having a non-smooth boundary. As has been mentioned in the introduction, domains like the tube in the figure on page 3 occur frequently as model problems in computational fluid dynamics.
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References
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C. G. Simader and H. Sohr: A New Approach to the Helmholtz Decomposition and the Neumann Problem in Lq-Spaces for Bounded and Exterior Domains. In: Mathematical Problems Relating to the Navier-Stokes Equations, Ser. Adv. Math. Appl. Sci., vol. 11 (G. P. Galdi, ed.), (1{35), World Scienti_c Publishing, 1992.
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Köhne, M. (2013). L p -Theory in Weakly Singular Domains. In: Lp-Theory for Incompressible Newtonian Flows. Springer Spektrum, Wiesbaden. https://doi.org/10.1007/978-3-658-01052-2_8
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DOI: https://doi.org/10.1007/978-3-658-01052-2_8
Publisher Name: Springer Spektrum, Wiesbaden
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Online ISBN: 978-3-658-01052-2
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