12 citations · 15 across the 8 of their papers we have counts for
13 papers
Optimal Regularity for the Stokes Equations on a 2D Wedge Domain Subject to Navier Boundary Conditions
Matthias Köhne, Jürgen Saal, Laura Westermann
We consider the Stokes equations subject to Navier boundary conditions on a two-dimensional wedge domain with opening angle . We prove existence and uniqueness of…
Stability Analysis for a Class of Heterogeneous Catalysis Models
Christian Gesse, Matthias Köhne, Jürgen Saal
We prove stability for a class of heterogeneous catalysis models in the -setting. We consider a setting in a finite three-dimensional pore of cylinder-like geometry, with the…
Stable and unstable flow regimes for active fluids in the periodic setting
Christiane Bui, Christian Gesse, Jürgen Saal
Depending on the involved physiobiological parameters, stable or unstable behavior in active fluids is observed. In this paper a rigorous analytical justification of (in-)stability…
Stokes and Navier-Stokes equations subject to partial slip on uniform -domains in -spaces
Pascal Hobus, Jürgen Saal
This note concerns well-posedness of the Stokes and Navier-Stokes equations on uniform -domains on . In particular, classes of non-Helmholtz domains, i.e., domains fo…
-theory for a fluid-structure interaction model
Robert Denk, Jürgen Saal
We consider a fluid-structure interaction model for an incompressible fluid where the elastic response of the free boundary is given by a damped Kirchhoff plate model. Utilizing th…
Optimal Sobolev regularity for the Stokes equations on a 2D wedge domain
Matthias Köhne, Jürgen Saal, Laura Westermann
In this note we prove that the solution of the stationary and the instationary Stokes equations subject to perfect slip boundary conditions on a 2D wedge domain admits optimal regu…