Matthias Köhne

On a Class of Energy Preserving Boundary Conditions for Incompressible Newtonian Flows

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 problems, i.e., the Navier--Stokes equations complemented by one of the derived boundary conditions, in an

Local well-posedness for relaxational fluid vesicle dynamics

L_p

Strong well-posedness for a class of dynamic outflow boundary conditions for incompressible Newtonian flows

-setting in domains

On quasilinear parabolic evolution equations in weighted Lp-spaces II

\Omega \subseteq {\mathbb R}^n

Qualitative behaviour of solutions for the two-phase Navier-Stokes equations with surface tension

, which are either bounded or unbounded with almost flat boundary of class

Global strong solutions for a class of heterogeneous catalysis models

C^{3-}

On Two-Phase Flows with Soluble Surfactant

. The results are based on maximal regularity properties of the underlying linearizations, which are also established in the above setting.

A Kinematic Evolution Equation for the Dynamic Contact Angle and some Consequences.

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

Multiplication in Vector-Valued Anisotropic Function Spaces and Applications

L_p