Erik Wahlén

Erik Wahlén

Senior lecturer, Docent

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Personal profile

Research

My main research interests are in nonlinear partial differential equations. I'm interested in equations related to fluid mechanics and nonlinear wave phenomena, in particular water waves. Together with my group, I study questions of existence, stability and qualitative properties of various types of solutions, such as travelling or standing waves. We also work on the closely related problem of magnetohydrostatic equilibria, which is of great relevance in plasma confinement with applications to the design of nuclear fusion reactors, as well as in stellar physics. The group is supported by the Swedish Research Councils and currently includes PhD students Stefano Böhmer and Giang To, and postdoc Wei Lian.

Teaching

Spring 24: MATM37, Ordinary Differential Equations II
Spring 23: MATP31, Distribution Theory
Spring 22: MATP36, Partial Differential Equations

Here are some degree projects that I have supervised.

If you are interested in doing a degree project with me, you are welcome to contact me (e.g. via e-mail). In order to write a bachelor's thesis, it is useful if you've taken some course in ordinary differential equations (e.g. ODE 1, but it's even better if you've also taken ODE 2) and some courses in analysis (e.g. Linear Analysis). In order to do a master's thesis it is useful if you've taken some course in partial differential equations (e.g. PDE or Distribution Theory), some course in functional analysis or topology and preferably also integration theory, Fourier analysis and/or complex analysis. Both at the BSc and MSc levels it is possible to do some numerical computations as a part of the degree project if you've taken some courses in numerical analysis. You are welcome to contact me if you have any questions.

Professional work

CV available upon request.

UKÄ subject classification

  • Mathematical Analysis

Free keywords

  • Partial Differential Equations
  • Nonlinear waves
  • Fluid Mechanics

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