Generate a tailored SOP for Dr. Irina Pettersson. Improve your application with a focused, well-structured draft.
Irina Pettersson is an Associate Professor in the Department of Applied Mathematics and Statistics at Chalmers University. Her research focuses on asymptotic analysis, homogenization, and partial differential operators, particularly in relation to problems arising in mathematical physics. Her work aims to describe physical phenomena such as electromagnetic wave scattering in small particles and heat transfer. Pettersson investigates classical homogenization theory, which studies the properties of mixtures of materials on different scales: from the microscopic scale, detailing the microstructure of heterogeneous materials, to the macroscopic scale, representing the size of materials. By applying homogenization theory, she provides rigorous methods to substitute heterogeneous material microstructures with new homogeneous materials, making the equations describing them easier to solve. A prominent aspect of her research is the derivation of the Darcy law for fluid transport in porous media and the Navier-Stokes equations. Additionally, she examines signal propagation in neurons and is working on the derivation of the 1D nonlinear cable equation based on the 3D Hodgkin-Huxley model of ionic current flow through neural membranes.
General requirements apply to all departments listed at Chalmers. Specific departments like Architecture require a portfolio. Programs in Management/Economics do not strictly require GMAT/GRE but high academic standing is prioritized.