Research Output per year

## Personal profile

### Quote

“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.’’

### Research profile

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.

### Academic background

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.

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Recent external collaboration on country level. Dive into details by clicking on the dots.

## Research Output 1993 2019

## Topological shooting, invariant manifold theory and rigorous numerics applied to an ODE for hypha tip growth

de Jong, T. G., 15 Jan 2019, Eindhoven: Technische Universiteit Eindhoven. 167 p.Research output: Thesis › Phd Thesis 1 (Research TU/e / Graduation TU/e) › Academic

## Well-posedness for a moving boundary model of an evaporation front in a porous medium

Lippoth, F. & Prokert, G., 1 Sep 2019, In : Journal of Mathematical Fluid Mechanics. 21, 3, 31 p., 40Research output: Contribution to journal › Article › Academic › peer-review

## A moving boundary problem for the Stokes equations involving osmosis: Variational modelling and short-time well-posedness

Lippoth, F., Peletier, M. A. & Prokert, G., 1 Aug 2016, In : European Journal of Applied Mathematics. 27, 4, p. 647-666 20 p.Research output: Contribution to journal › Article › Academic › peer-review

## A new model for fungal hyphae growth using the thin viscous sheet equations

de Jong, T. G., Prokert, G. & Hulshof, J., 2016,*Mathematical Analysis of Continuum Mechanics and Industrial Applications.*Itou, H., Kimura, M., Chalupecký, V., Ohtsuka, K., Tagami, D. & Takada, A. (eds.). Dordrecht: Springer, p. 175-184 (Mathematics for Industry; vol. 26)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

## Stability of equilibria of a two-phase Stokes-osmosis problem

Lippoth, F. & Prokert, G., 1 Jan 2016, In : Interfaces and Free Boundaries. 18, 2, p. 161-179 19 p.Research output: Contribution to journal › Article › Academic › peer-review

## Courses

## Student theses

## Categorizing models for water waves

Author: Nijhuis, T., 2011Supervisor: Prokert, G. (Supervisor 1)

Student thesis: Bachelor

## Differential equations driven by rough signals

Author: Verstraelen, L. H., 31 Aug 2018Supervisor: Prokert, G. (Supervisor 1) & Portegies, J. (Supervisor 2)

Student thesis: Bachelor

## Effect of laser beam profile on the deformation of a tin droplet

Author: Bras, T. C., 7 Sep 2018Supervisor: Gelderblom, H. (Supervisor 1) & Prokert, G. (Supervisor 2)

Student thesis: Bachelor

## Energy levels in one-dimensional hydrogen atoms and Rydberg crystals

Author: van der Weerden, T., 2014Supervisor: Kokkelmans, S. (Supervisor 1) & Prokert, G. (Supervisor 2)

Student thesis: Bachelor

## Linear stability of a moving boundary value problem in a two-phase porous medium flow

Author: Cotino, A. A., 31 Aug 2017Supervisor: Prokert, G. (Supervisor 1) & Tse, O. (Supervisor 2)

Student thesis: Bachelor