90 citations · 259 across the 20 of their papers we have counts for
24 papers
The primitive equations on curved surfaces
M. Hieber, Y. Shao, G. Simonett +1
In this paper, we study the primitive equations in a collar neighborhood of a smooth closed hypersurface in . Using the framework of maximal -regularity and the…
Strong solutions to the Keller-Segel-Navier-Stokes system in bounded Lipschitz domains
Matthias Hieber, Hideo Kozono, Sylvie Monniaux +1
Consider the coupled Keller-Segel-Navier-Stokes or the chemotaxis-consumption-Navier-Stokes system in bounded Lipschitz domains for general coupling terms which, e.g., include buoy…
The stochastic primitive equations with non-isothermal turbulent pressure
Antonio Agresti, Matthias Hieber, Amru Hussein +1
In this paper, we introduce and study the primitive equations with -isothermal turbulent pressure and transport noise. They are derived from the Navier-Stokes equatio…
Rigorous analysis of the interaction problem of sea ice with a rigid body
Tim Binz, Felix Brandt, Matthias Hieber
Consider the set of equations modeling the motion of a rigid body enclosed in sea ice. Using Hibler's viscous-plastic model for describing sea ice, it is shown by a certain decoupl…
Interaction of geophysical flows with sea ice dynamics
Tim Binz, Felix Brandt, Matthias Hieber
This article establishes local strong well-posedness and global strong well-posedness close to constant equilibria of a model coupling the primitive equations of ocean and atmosphe…
Time periodic solutions to Hibler's sea ice model
Felix Brandt, Matthias Hieber
It is shown that the viscous-plastic Hibler sea ice model admits a unique, strong -time periodic solution provided the given -periodic forcing functions are small in suitable…