5 papers · 1 filter
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…
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…
Turbulence in active fluids caused by self-propulsion
Christiane Bui, Hartmut Löwen, Jürgen Saal
A rigoros analytical justification of turbulence observed in active fluids and caused by self-propulsion is presented. We prove existence of unstable wave modes for the generalized…
Triebel-Lizorkin-Lorentz spaces and the Navier-Stokes equations
Pascal Hobus, Jürgen Saal
We derive basic properties of Triebel-Lizorkin-Lorentz spaces important in the treatment of PDE. For instance, we prove Triebel-Lizorkin-Lorentz spaces to be of class $\mathcal{HT}…
Analysis of a Living Fluid Continuum Model
Florian Zanger, Hartmut Löwen, Jürgen Saal
Generalized Navier-Stokes equations which were proposed recently to describe active turbulence in living fluids are analyzed rigorously. Results on wellposedness and stability in t…