If you made any changes in Pure these will be visible here soon.

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.

Network 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, (Accepted/In press) Eindhoven: Technische Universiteit Eindhoven. 167 p.

Research output: ThesisPhd Thesis 1 (Research TU/e / Graduation TU/e)Academic

Open Access
File
Shooting
Invariant Manifolds
Numerics
Model
3 Citations

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 journalArticleAcademicpeer-review

Moving Boundary Problem
Osmosis
Stokes Equations
Well-posedness
Membrane

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 proceedingConference contributionAcademicpeer-review

expansion
cells
hardening
point sources
apexes

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 journalArticleAcademicpeer-review

osmosis
membranes
containers
interfacial tension
liquids

Book review: Asymptotic behavior of dynamical systems in fluid mechanics

Prokert, G., 2015, In : Nieuw Archief voor Wiskunde. 5/16, 1, p. 65-66 2 p.

Research output: Contribution to journalBook reviewProfessional

Courses

Advanced calculus

1/09/15 → …

Course

Analysis 1

1/09/12 → …

Course

Analysis 2

1/09/12 → …

Course

Calculus variant B

1/09/11 → …

Course

Evolution equations

1/09/15 → …

Course

Student theses

Categorizing models for water waves

Author: Nijhuis, T., 2011

Supervisor: Prokert, G. (Supervisor 1)

Student thesis: Bachelor

File

Energy levels in one-dimensional hydrogen atoms and Rydberg crystals

Author: van der Weerden, T., 2014

Supervisor: Kokkelmans, S. (Supervisor 1) & Prokert, G. (Supervisor 2)

Student thesis: Bachelor

File

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

Author: Cotino, A. A., 31 Aug 2017

Supervisor: Prokert, G. (Supervisor 1) & Tse, O. (Supervisor 2)

Student thesis: Bachelor

File

Osmotic cell swelling in the fast diffusion limit: local well-posedness and stability analysis around equilibria

Author: van Meurs, P., 31 Aug 2011

Supervisor: Prokert, G. (Supervisor 1)

Student thesis: Master

File