PhD position in mathematics
The doctoral student will conduct research on coupled parabolic systems posed in thin heterogeneous domains. The evolution equations are arising from the modeling of reaction-diffusion processes through selective membranes. Typical research questions will refer to the multiscale mathematical modeling (including homogenization), weak-solvability analysis and numerical simulation of such systems when periodically-placed obstacles are affecting the dynamics. The obtained results are expected to contribute to the development of a well-posedness and computability theory of reaction, diffusion and flow through heterogeneous thin layers. The working topic is imbedded in the VR, Swedish Research Council, funded project: “Homogenization and dimension reduction of thin heterogeneous layers”.