3 papers
math.AP2025
-calculus for Stokes operators on rough and on unbounded domains
Peer Christian Kunstmann, Patrick Tolksdorf
In this article, we give an overview on known as well as new results on the boundedness of the -calculus of the Stokes operator in rough as well as in unbounded (smooth…
math.AP2025
Strong solutions to the Keller-Segel-Navier-Stokes system in bounded Lipschitz domains
Matthias Hieber, Hideo Kozono, Sylvie Monniaux +1
Consider the coupled Keller-Segel-Navier-Stokes or the chemotaxis-consumption-Navier-Stokes system in bounded Lipschitz domains for general coupling terms which, e.g., include buoy…
math.AP2024
On Kato's Square Root Property for the Generalized Stokes Operator
Luca Haardt, Patrick Tolksdorf
We establish the Kato square root property for the generalized Stokes operator on with bounded measurable coefficients. More precisely, we identify the domain of the…