(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2010) Haller-Dintelmann, Robert; Höppner, Wolfgang; Kaiser, Hans-Christoph; Rehberg, Joachim; Ziegler, Günter M.
We study relative stability properties of different clusters of closely
packed one- and two-dimensional localized peaks of the Swift-Hohenberg
equation. We demonstrate the existence of a 'spatial Maxwell' point where
clusters are almost equally stable, irrespective of the number of pes
involved. Above (below) the Maxwell point, clusters become more (less) stable
with the increase of the number of peaks
(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2010) Kaiser, Hans-Christoph; Rehberg, Joachim
We investigate optimal elliptic regularity of anisotropic div-grad
operators in three dimensions at the crossing of a material interface and an
edge of the spatial domain on the Neumann boundary part within the scale of
Sobolev spaces.
