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Persoonlijk profiel

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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Onderzoeksoutput 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 blz.

Onderzoeksoutput: ScriptieDissertatie 1 (Onderzoek TU/e / Promotie TU/e)Academic

Open Access
Bestand
Shooting
Invariant Manifolds
Numerics
Model

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 blz., 40

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

Moving Boundary
uniqueness
Evaporation
regularity
Well-posedness
3 Citaties (Scopus)

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, blz. 647-666 20 blz.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer 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. (redactie). Dordrecht: Springer, blz. 175-184 (Mathematics for Industry; vol. 26)

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

expansion
cells
hardening
point sources
apexes
1 Citaat (Scopus)

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

Lippoth, F. & Prokert, G., 1 jan 2016, In : Interfaces and Free Boundaries. 18, 2, blz. 161-179 19 blz.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

osmosis
membranes
containers
interfacial tension
liquids

Cursussen

Analysis 1

1/09/12 → …

Cursus

Analysis 2

1/09/12 → …

Cursus

Evolution equations

1/09/15 → …

Cursus

Partial differential equations

1/09/15 → …

Cursus

Voortgezette calculus

1/09/15 → …

Cursus

Scriptie

Categorizing models for water waves

Auteur: Nijhuis, T., 2011

Begeleider: Prokert, G. (Afstudeerdocent 1)

Scriptie/masterproef: Bachelor

Bestand

Differential equations driven by rough signals

Auteur: Verstraelen, L. H., 31 aug 2018

Begeleider: Prokert, G. (Afstudeerdocent 1) & Portegies, J. (Afstudeerdocent 2)

Scriptie/masterproef: Bachelor

Bestand

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

Auteur: Bras, T. C., 7 sep 2018

Begeleider: Gelderblom, H. (Afstudeerdocent 1) & Prokert, G. (Afstudeerdocent 2)

Scriptie/masterproef: Bachelor

Bestand

Energy levels in one-dimensional hydrogen atoms and Rydberg crystals

Auteur: van der Weerden, T., 2014

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

Scriptie/masterproef: Bachelor

Bestand

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

Auteur: Cotino, A. A., 31 aug 2017

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

Scriptie/masterproef: Bachelor

Bestand