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20212026
most citedHomogenization and low Mach number limit of compressible Navier-Stokes equations in critically perforated domains

11 citations · 52 across the 21 of their papers we have counts for

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math.AP2026

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…

math.AP2026

Global-in-time existence of finite energy weak solutions to a relaxed Navier-Stokes-Korteweg model

Florian Oschmann, Florian Wendt

We consider a parabolic relaxation formulation of the compressible Navier-Stokes-Korteweg system and prove the global-in-time existence of finite energy weak solutions to the assoc…

math.AP2026

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…

math.AP2026

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…

math.AP2026

Weak-strong uniqueness and low Mach number limit for a viscous compressible fluid around a rotating body

Thomas Eiter, Šárka Nečasová, 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…