By Matthias Köhne

This thesis is dedicated to the examine of the fundamental equations of fluid dynamics. First Matthias Köhne specializes in the derivation of a category of boundary stipulations, that's according to power estimates, and, therefore, results in bodily proper stipulations. The derived category thereby includes many trendy synthetic boundary stipulations, that have proved to be appropriate for direct numerical simulations concerning synthetic limitations. the second one half is dedicated to the advance of an entire Lp-theory for the ensuing preliminary boundary worth difficulties in bounded tender domain names, i.e. the Navier-Stokes equations complemented through one of many derived power protecting boundary stipulations. ultimately, the 3rd a part of this thesis specializes in the corresponding idea for bounded, non-smooth domain names, the place the boundary of the area is permitted to include a finite variety of edges, supplied the graceful elements of the boundary that meet at such an aspect are in the neighborhood orthogonal.

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