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Detection of high codimensional bifurcations in variational PDEs

Presented by: 
Christian Offen
Date: 
Wednesday 17th July 2019 - 11:00 to 12:00
Venue: 
INI Seminar Room 1
Abstract: 
We derive bifurcation test equations for A-series
singularities of nonlinear functionals and, based on these equations, we
propose a numerical method for detecting high codimensional bifurcations in
parameter-dependent PDEs such as parameter-dependent semilinear Poisson
equations. As an example, we consider a Bratu-type problem and show how high
codimensional bifurcations such as the swallowtail bifurcation can be found
numerically. Lisa Maria Kreusser, Robert I McLachlan, Christian Offen
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons