11 citations · 52 across the 21 of their papers we have counts for
22 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…
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…
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 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…
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 .…
Rigorous derivation of magneto-Oberbeck-Boussinesq approximation with non-local temperature term
Piotr Gwiazda, Florian Oschmann, Aneta Wróblewska-Kamińska
We consider a general compressible, viscous, heat and magnetically conducting fluid described by the compressible Navier-Stokes-Fourier system coupled with induction equation. In p…
Qualitative derivation of a density dependent incompressible Darcy law
Danica Basarić, Florian Oschmann, Jiaojiao Pan
This paper provides the first study of the homogenization of the 3D non-homogeneous incompressible Navier--Stokes system in perforated domains with holes of supercritical size. The…
To collide, or not to collide, that is the question -- a survey
Florian Oschmann
We give a detailed overview over known results for (no-)collision of a body with the boundary of its container.
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…
Quantitative homogenization of the compressible Navier-Stokes equations towards Darcy's law
Richard M. Höfer, Šárka Nečasová, Florian Oschmann
We consider the solutions to the compressible Navier-Stokes equations (NSE) in a domain periodically perforated by holes of diameter $\varep…
A collision result for both non-Newtonian and heat conducting Newtonian compressible fluids
Šárka Nečasová, Florian Oschmann
We generalize the known collision results for a solid in a 3D compressible Newtonian fluid to compressible non-Newtonian ones, and to Newtonian fluids with temperature depending vi…
Homogenization of the unsteady compressible Navier-Stokes equations for adiabatic exponent
Florian Oschmann, Milan Pokorný
We consider the unsteady compressible Navier-Stokes equations in a perforated three-dimensional domain, and show that the limit system for the diameter of the holes going to zero i…
-convergence for nearly incompressible fluids
Peter Bella, Eduard Feireisl, Florian Oschmann
We consider the time-dependent compressible Navier--Stokes equations in the low Mach number regime in a family of domains converging in the sense of Mosco to a dom…
On the incompressible limit of a strongly stratified heat conducting fluid
Danica Basarić, Peter Bella, Eduard Feireisl +2
A compressible, viscous and heat conducting fluid is confined between two parallel plates maintained at a constant temperature and subject to a strong stratification due to the gra…
Homogenization of the two-dimensional evolutionary compressible Navier-Stokes equations
Šárka Nečasová, Florian Oschmann
We consider the evolutionary compressible Navier-Stokes equations in a two-dimensional perforated domain, and show that in the subcritical case of very tiny holes, the density and…
Collision/No-collision results of a solid body with its container in a 3D compressible viscous fluid
Bum Ja Jin, Šárka Nečasová, Florian Oschmann +1
We consider a bounded domain and a rigid body moving inside a viscous compressible Newtonian fluid. We exploit the roughness of the b…
On two Kuznetsov's conjectures
Florian Oschmann
We provide a proof and a counterexample to two conjectures made by N. Kuznetsov.
Rigorous derivation of the Oberbeck-Boussinesq approximation revealing unexpected term
Peter Bella, Eduard Feireisl, Florian Oschmann
We consider a general compressible viscous and heat conducting fluid confined between two parallel plates and heated from the bottom. The time evolution of the fluid is described b…
Homogenization of the full compressible Navier-Stokes-Fourier system in randomly perforated domains
Florian Oschmann
We consider the homogenization of the compressible Navier-Stokes-Fourier equations in a randomly perforated domain in . Assuming that the particle size scales like $\…
Homogenization and low Mach number limit of compressible Navier-Stokes equations in critically perforated domains
Peter Bella, Florian Oschmann
In this note, we consider the homogenization of the compressible Navier-Stokes equations in a periodically perforated domain in . Assuming that the particle size scal…
Inverse of divergence and homogenization of compressible Navier-Stokes equations in randomly perforated domains
Peter Bella, Florian Oschmann
We analyze behavior of weak solutions to compressible fluid flows in a bounded domain in , randomly perforated by tiny balls with random size. Assuming the radii of t…