11 papers
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…
Elastic properties of cubic silicon carbide with Si vacancies
Carlos P. Herrero, Eduardo R. Hernandez, Gabriela Herrero-Saboya
We investigate how silicon vacancies modify the elastic response and mechanical stability of cubic 3C-SiC. Our approach employs path-integral molecular dynamics simulations, includ…
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…