65 citations · 66 across the 2 of their papers we have counts for
6 papers
On the Navier-Stokes equations on surfaces
Jan Pruess, Gieri Simonett, Mathias Wilke
We consider the motion of an incompressible viscous fluid that completely covers a smooth, compact and embedded hypersurface without boundary and flows along . Local-in-time…
On the motion of a fluid-filled rigid body with Navier Boundary conditions
Giusy Mazzone, Jan Pruess, Gieri Simonett
We consider the inertial motion of a system constituted by a rigid body with an interior cavity entirely filled with a viscous incompressible fluid. Navier boundary conditions are…
A maximal regularity approach to the study of motion of a rigid body with a fluid-filled cavity
Giusy Mazzone, Jan Pruess, Gieri Simonett
We consider the inertial motion of a rigid body with an interior cavity that is completely filled with a viscous incompressible fluid. The equilibria of the system are characterize…
On the microscopic bidomain problem with FitzHugh-Nagumo ionic transport
Jan Pruess, Gieri Simonett
The microscopic bidomain problem with FitzHhugh-Nagumo ionic transport is studied in the -framework. Reformulating the problem as a semilinear evolution equation on th…
Critical spaces for quasilinear parabolic evolution equations and applications
Jan Pruess, Gieri Simonett, Mathias Wilke
We present a comprehensive theory of critical spaces for the broad class of quasilinear parabolic evolution equations. The approach is based on maximal -regularity in time-wei…
Well-posedness and long-time behavior for the Westervelt equation with absorbing boundary conditions of order zero
Gieri Simonett, Mathias Wilke
We investigate the Westervelt equation from nonlinear acoustics, subject to nonlinear absorbing boundary conditions of order zero, which were recently proposed by Kaltenbacher & Sh…