5 papers
Higher Regularity for the Signorini Problem for the Homogeneous, Isotropic Lamé System
Angkana Rüland, Wenhui Shi
In this note we discuss the (higher) regularity properties of the Signorini problem for the homogeneous, isotropic Lamé system. Relying on an observation by Schumann \cite{Schumann…
-limit for two-dimensional charged magnetic zigzag domain walls
Hans Knüpfer, Wenhui Shi
Charged domain walls are a type of domain walls in thin ferromagnetic films which appear due to global topological constraints. The non-dimensionalized micromagnetic energy for a u…
An epiperimetric inequality approach to the parabolic Signorini problem
Wenhui Shi
In this note, we use an epiperimetric inequality approach to study the regularity of the free boundary for the parabolic Signorini problem. We show that if the "vanishing order" of…
Higher Regularity for the fractional thin obstacle problem
Herbert Koch, Angkana Rüland, Wenhui Shi
In this article we investigate the higher regularity properties of the regular free boundary in the fractional thin obstacle problem. Relying on a Hodograph-Legendre transform, we…
The Variable Coefficient Thin Obstacle Problem: Higher Regularity
Herbert Koch, Angkana Rüland, Wenhui Shi
In this article we continue our investigation of the thin obstacle problem with variable coefficients which was initiated in \cite{KRS14}, \cite{KRSI}. Using a partial Hodograph-Le…