3 papers
math.AP2023
On a thermodynamically consistent model for magnetoviscoelastic fluids in 3D
Hengrong Du, Yuanzhen Shao, Gieri Simonett
We introduce a system of equations that models a non-isothermal magnetoviscoelastic fluid. We show that the model is thermodynamically consistent, and that the critical points of t…
math.AP2019
The surface diffusion and the Willmore flow for uniformly regular hypersurfaces
Jeremy LeCrone, Yuanzhen Shao, Gieri Simonett
We consider the surface diffusion and Willmore flows acting on a general class of (possibly non-compact) hypersurfaces parameterized over a uniformly regular reference manifold pos…
math.AP2012
Invariant foliations near normally hyperbolic equilibria for quasilinear parabolic problems
Jan Pruess, Gieri Simonett, Mathias Wilke
We consider quasilinear parabolic evolution equations in the situation where the set of equilibria forms a finite-dimensional C^1-manifold which is normally hyperbolic. The existen…