Lehrstuhl I Analysis

e viscous fluid flows in a bounded domain in R3, randomly perforated by tiny balls with random size. Assuming the radii of the balls scale like εα, α > 3, with ε denoting the average distance between the [...] compressible Navier-Stokes equations in a periodically perforated domain in R3. Assuming that the particle size scales like ε3, where ε>0 is their mutual distance, and that the Mach number decreases fast [...] ourier equations in a randomly perforated domain in R3. Assuming that the particle size scales like ε^α, where ε>0 is their mutual distance and α>3, we show that in the limit ε→0, the velocity, density …