61 citations · 341 across the 41 of their papers we have counts for
5 papers · 1 filter
Potential estimates for the p-Laplace system with data in divergence form
Andrea Cianchi, Sebastian Schwarzacher
A pointwise bound for local weak solutions to the p-Laplace system is established in terms of data on the right-hand side in divergence form. The relevant bound involves a Havin-Ma…
Global continuity and BMO estimates for non-Newtonian fluids with perfect slip boundary conditions
Václav Mácha, Sebastian Schwarzacher
We study the generalized stationary Stokes system in a bounded domain in the plane equipped with perfect slip boundary conditions. We show natural stability results in oscillatory…
Compressible fluids interacting with a linear-elastic shell
Dominic Breit, Sebastian Schwarzacher
We study the Navier--Stokes equations governing the motion of an isentropic compressible fluid in three dimensions interacting with a flexible shell of Koiter type. The latter one…
Homogenization of the compressible Navier-Stokes equations in domains with very tiny holes
Yong Lu, Sebastian Schwarzacher
We consider the homogenization problem of the compressible Navier-Stokes equations in a bounded three dimensional domain perforated with very tiny holes. As the number of holes inc…
Regularity and approximation of strong solutions to rate-independent systems
Filip Rindler, Sebastian Schwarzacher, Endre Süli
Rate-independent systems arise in a number of applications. Usually, weak solutions to such problems with potentially very low regularity are considered, requiring mathematical tec…