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title => protected'Bifurcation analysis for geometric PDE’s' (40 chars)
slug => protected'bifurcation-analysis-for-geometric-pdes' (39 chars)
abstract => protected'Im Rahmen des Oberseminars Analysis/Numerik spricht
Herr Alexander Meiners
(Universität Oldenburg)' (99 chars)
description => protected'<h3 class="text-center"><strong>Vortragsankündigung</strong></h3>
<p class=
"text-center"> Im Rahmen des Oberseminars Analysis/Numerik </p>
<
p class="text-center">spricht</p>
<h3 class="text-center"><i><strong>
Herr Alexander Meiners (Universität Oldenburg) </strong></i></h3>
<p c
lass="text-center">über </p>
<h2 class="text-center"><strong>Bifurcati
on analysis for geometric PDE’s </strong></h2>
<p class="text-center">
<i>F. Al Saadi, E. Knobloch, A. Meiners, H. Uecker</i></p>
<p class="text-c
enter">This talk will broadly cover bifurcation problems within partial diff
erential equations. As an introductory example, we explore bifurcations and
stability in a semiconductor model, while reviewing essential concepts in dy
namical systems analysis. In particular, we focus on Turing– Hopf mixed mode
s in the vicinity of codimension-two bifurcation points. The main tool is nu
merical continuation in pde2path of steady-state and periodic solutions. Fro
m that, we consider geometric partial differential equations. Within this br
oad field, we examine a model for the shape of bilayer membranes—the Helfric
h equation. We investigate destabilizing bifurcations from spherical and cyl
indrical topologies. The spherical case serves as a model for the shape of r
ed blood cells, while the cylindrical case reveals interesting bifurcations
into non-axisymmetric solutions. We apply numerical continuation with the Xc
ont extension of pde2path to both cases to study stability and secondary bra
nches. In the cylindrical case in particular, we also derive amplitude equat
ions to further analyze axisymmetric, nonaxisymmetric and mixed-mode soluti
ons. </p>
<h3 class="text-center"><strong>Der Vortrag findet statt am
Donnerstag, den 08.05.2025 </strong></h3>
<h3 class="text-center"><str
ong>um 14.45 – 15.30 Uhr im Raum W01 006 </strong></h3>
<p class="text
-center">Interessierte sind herzlich eingeladen. </p>
<p class="text-c
enter">Fakultät V Mathem...' (2032 chars)
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