I am fascinated by how the same abstract mathematical techniques can be used successfully to describe and understand the most diverse phenomena in nature, technology, and society.’’
Georg Prokert is an Assistant Professor in the Department of Mathematics and Computer Science at at Eindhoven University of Technology (TU/e).
His research is in the area of applied functional analysis, or more precisely, the application of methods from functional analysis to nonlinear evolution equations arising from free and moving boundary problems. Such problems originate, for example, from continuum mechanics, mathematical biology, or electrodynamics. The results obtained typically concern well-posedness of these problems and qualitative properties of the solutions, as well as limit behavior for small parameters. This contributes to the theoretical understanding of the underlying problems, both in mathematical and in modeling terms, and can provide useful preliminary information for numerical simulations.
Georg Prokert received his Diploma degree in Mathematics from TU Dresden in 1993 and his PhD degree in Mathematics from TU Eindhoven in 1997. He worked as a scientific assistant at the universities of Kassel (1997-2000) and Leipzig (2000-2001). Since 2001 he is a lecturer at the chair of Applied Analysis within the Center of Analysis, Scientific Computing, and Applications (CASA) at TU Eindhoven.
Well-posedness for a moving boundary model of an evaporation front in a porous mediumJournal of Mathematical Fluid Mechanics (2019)
A moving boundary problem for the Stokes equations involving osmosisEuropean Journal of Applied Mathematics (2016)
A new model for fungal hyphae growth using the thin viscous sheet equationsMathematical Analysis of Continuum Mechanics and Industrial Applications (2016)
Stability of equilibria of a two-phase Stokes-osmosis problemInterfaces and Free Boundaries (2016)
Stability of equilibria of a two-phase Stokes-osmosis problem(2015)
- Evolution equations
- Partial differential equations
- Analysis 2
- Analysis 1
- Calculus variant B
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