3 papers
math.AP2020
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…
math.AP2017
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}…
math.AP2016
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…