André Henrik Erhardt

Image of André Henrik Erhardt
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Room 1003
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Visiting address Moltke Moes vei 35 Niels Henrik Abels hus 0851 OSLO
Postal address Postboks 1053 Blindern 0316 OSLO

Currently, I have a 6-months research stay at the Centre of Mathematical Sciences, Lund University, Sweden, visiting Erik Wahlén and funded by the Kristine Bonnevie scholarship 2020.


My research focuses on Applied AnalysisPartial Differential Equations, Dynamical Systems and Applications in the Life Sciences. 

In the field of nonlinear PDEs I am working on existence and regularity theory for parabolic PDEs and obstacle problems. Here, I am interested amongst others in nonstandard growth problems motivated, e.g. by electro-rheological fluids.

Moreover, my second research area is focused on dynamical systems, bifurcation theory, multiple time scale dynamics, geometric singular perturbation theory and the study of complex dyncamics. One application is the mathematical and numerical investigation of cardiac arrhythmia, e.g. the so-called early afterdepolarisations.

In general, I am interested in several applications and problems, e.g., from fluid mechanics or biology modelled by differential equations. My research is focused on Pure and Applied Mathematics.

Types of partial differential equations I am working on:

  • reaction-diffusion equations
  • elliptic and parabolic p-Laplace
  • monodomain and bidomain equations
  • Keller-Segel systems
  • and related problems

For more details about me, my research and teaching, please visit my personal webpage.

Tags: Mathematics, Partial Differential Equations, Dynamical Systems, Mathematical Analysis, (Numerical) Bifurcation Analysis

Publications

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Published Oct. 30, 2017 10:52 AM - Last modified May 15, 2020 10:02 AM