Detection of high codimensional bifurcations in variational PDEs

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• Christian Offen (Massey University)
• Wednesday 17 July 2019, 11:00-12:00
• Seminar Room 1, Newton Institute.

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GCS - Geometry, compatibility and structure preservation in computational differential equations

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

This talk is part of the Isaac Newton Institute Seminar Series series.

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