10 papers · 1 filter
Homogenization of a relaxed compressible viscous two-phase fluid model in a domain with very tiny holes
Florian Oschmann, Florian Wendt
We study an approximate system for the compressible Navier-Stokes-Korteweg equations in a bounded domain periodically perforated by small obstacles. As the size of the obstacles de…
Homogenization of regularized Oldroyd-type fluids
Florian Oschmann, Jonas Sauer
We study homogenization of a regularized viscoelastic Oldroyd-type model in a periodically perforated bounded domain. The system describes an incompressible non-Newtonian fluid cou…
Homogenization of compressible Navier-Stokes equations under a hard sphere pressure law
Nilasis Chaudhuri, Florian Oschmann
We consider the compressible time-dependent Navier-Stokes equations in a bounded perforated domain in dimensions two and three. Provided the perforations are small enough, we show…
Weak-strong uniqueness and low Mach number limit for a viscous compressible fluid around a rotating body
Thomas Eiter, Šárka NeÄasová, Florian Oschmann
We study the flow of an isothermal compressible Newtonian fluid around a body that performs a (time-independent) rigid motion. We derive a weak-strong uniqueness principle, and sho…
Qualitative/quantitative homogenization of some non-Newtonian flows in perforated domains
Richard M. Höfer, Yong Lu, Florian Oschmann
In this paper, we consider the homogenization of stationary and evolutionary incompressible viscous non-Newtonian flows of Carreau-Yasuda type in domains perforated with a large nu…
Brinkman's law as -limit of compressible low Mach Navier-Stokes equations and application to randomly perforated domains
Peter Bella, Friederike Lemming, Roberta Marziani +1
We consider the time-dependent compressible Navier-Stokes equations in the low Mach number regime inside a family of domains in .…