7 citations · 8 across the 4 of their papers we have counts for
6 papers · 1 filter
Co-moving volumes and the Reynolds transport theorem for two-phase flows
Dieter Bothe, Matthias Köhne
We consider the local kinematics at fluid interfaces in sharp-interface two-phase flows with phase change and interfacial slip. In this setting the governing velocity field is disc…
Strong Well-Posedness for a Class of Dynamic Outflow Boundary Conditions for Incompressible Newtonian Flows
Dieter Bothe, Takahito Kashiwabara, Matthias Köhne
Based on energy considerations, we derive a class of dynamic outflow boundary conditions for the incompressible Navier-Stokes equations, containing the well-known convective bounda…
Local Well-Posedness for Relaxational Fluid Vesicle Dynamics
Matthias Köhne, Daniel Lengeler
We prove the local well-posedness of a basic model for relaxational fluid vesicle dynamics by a contraction mapping argument. Our approach is based on the maximal -regularity…
Global Strong Solutions for a Class of Heterogeneous Catalysis Models
Dieter Bothe, Matthias Köhne, Siegfried Maier +1
We consider a mathematical model for heterogeneous catalysis in a finite three-dimensional pore of cylinder-like geometry, with the lateral walls acting as a catalytic surface. The…
On a Class of Energy Preserving Boundary Conditions for Incompressible Newtonian Flows
Dieter Bothe, Matthias Köhne, Jan Prüss
We derive a class of energy preserving boundary conditions for incompressible Newtonian flows and prove local-in-time well-posedness of the resulting initial boundary value problem…
Qualitative Behaviour of Solutions for the Two-Phase Navier-Stokes Equations with Surface Tension
Matthias Köhne, Jan Pruess, Mathias Wilke
The two-phase free boundary value problem for the isothermal Navier-Stokes system is studied for general bounded geometries in absence of phase transitions, external forces and bou…