Abstrakt: For a prescribed deterministic kinetic energy we use convex integration to construct analytically weak and probabilistically strong solutions to the 3D in-compressible Navier-Stokes equations […] stochastic forcing. These solutions are defined up to an arbitrarily large stopping time and have deterministic initial values, which are part of the construction. Moreover, by a suitable choice of different
random conductance model with unbounded conductances satisfying certain moment bounds. For this, deterministic regularity results for non-uniformly elliptic equations play an important role. Finally I discuss
previously only known in the space-periodic case, where higher order energy estimates for any given (deterministic) time are available. In contrast to this, in the Dirichlet-case estimates are only known for a
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integrates breakthrough pressure (or capillary entry pressure) measurement capabilities. This allows to determine the exact pressure thresholds required for fluids to penetrate low-permeability formations, a crucial
circumference. With these data the position of the max. and min wall thickness of the tube can be determined assuming a sin-function behaviour of the thickness change. Developing a regression model to find […] die for a controlled change of the eccentricity. Minitab software as a statistic tool was used to determine and select the effective independent variables for a suitable regression model. In the case of more
. We prefer a probabilistic optimization technique e.g. Evolutionary Programming (EP) over a deterministic one, due to high interdependency of the variables involved in the optimization process. Evolutionary
