André Henrik Erhardt

Image of André Henrik Erhardt
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Visiting address Ullevål stadion Sognsveien 77 B 0855 OSLO
Postal address Postboks 1053 Blindern 0316 OSLO

My research focuses on Partial Differential Equations, Calculus of Variations, 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 afterdepolarizations.

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

Research Interests:

  • Analysis
  • Nonlinear PDEs
  • Nonlinear Dynamics
  • Existence Theory
  • Regularity Theory
  • Stability Theory
  • Bifurcation Theory
  • (Geometric) Singular Perturbation Theory

Further information about my research, mainly my publication list and (most) citations, can be found here:

  • MathSciNet (edited by American Mathematical Society, login required)
  • Scopus  (edited by Elsevier)
  • ORCID (Open Researcher and Contributor ID)
  • zbMATH (edited by the European Mathematical Society (EMS), the Heidelberg Academy of Sciences and Humanities and FIZ Karlsruhe)

Conferences and workshops:

06/2018: Lund Workshop on "Fluid Dynamics and Dispersive Equations", Lund, Sweden
04/2018: INdAM Workshop: "Mathematical and Numerical Modeling of the Cardiovascular System", Roma, Italy

03/2018: The 60th British Applied Mathematics Colloquium (BAMC 2018), St Andrews, Scotland, UK

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 Apr. 28, 2018 1:28 PM