65 citations · 271 across the 31 of their papers we have counts for
4 papers · 1 filter
Singular limits for the two-phase Stefan problem
Jan Pruess, Juergen Saal, Gieri Simonett
We prove strong convergence to singular limits for a linearized fully inhomogeneous Stefan problem subject to surface tension and kinetic undercooling effects. Different combinatio…
On the manifold of closed hypersurfaces in R^n
Jan Pruess, Gieri Simonett
Several results from differential geometry of hypersurfaces in R^n are derived to form a tool box for the direct mapping method. The latter technique has been widely employed to so…
On well-posedness, stability, and bifurcation for the axisymmetric surface diffusion flow
Jeremy LeCrone, Gieri Simonett
In this article, we study the axisymmetric surface diffusion flow (ASD), a fourth-order geometric evolution law. In particular, we prove that ASD generates a real analytic semiflow…
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…