Personal homepage of Dr. Pierre-Etienne Druet



Contact
Address: Weierstrass-Institute for Applied Analysis and Stochastics
Mohrenstr. 39
10117 Berlin, Germany
Phone: (00)49 20372 503
E-mail: druet(at)wias-berlin.de
Present employment
Research assistant at the Weierstrass-Institute in Berlin
Membership in the research group Partial Differential Equations headed by Prof. Dr. A. Mielke.
Education
2009 Doctorate in Mathematics (Dr. rer. nat.)
2005-2009 PhD student at the Humboldt University Berlin. Supervisor: Prof. Dr. J. Sprekels
2005 Graduation in Mathematics
2001-2005 Student at the mathematical faculty of Humboldt University Berlin
2001 Graduation in Philosphy
1997-2001 Student at the philosophical Institute of the Catholic University of Louvain-la-Neuve
Awards
11.2010 Junior researcher price awarded by the Leibniz Community (WGL) in the category, natural and technical sciences for the best PhD-Thesis in 2010
07.2001 Dopp Price, awarded by the Catholic University of Louvain-la-Neuve for an excellent Master-Thesis on the Philosophy of History by E. Kant

Scientific activities

Publications Teaching Projects (as PI)


Fields of interest

Inside of applied mathematics my research belongs to the the areas of applied analysis and analysis of partial differential equations (PDEs) .

I study theoretical questions in connection with PDE-based mathematical models for real world applications. My main contributions concern the following fields of applications:

  1. Mathematical fluid dynamics: Turbulence, magnetohydrodynamics, multicomponent flows, mixtures, electrolytes.
  2. Heat, mass and charge transfer in fluids.
  3. Low-frequency electromagnetics, electrotechnics.
  4. Heat radiation.

From the viewpoint of mathematical themes, I have been dealing coupled systems of nonlinear partial differential equations. My contributions concern:

  1. Existence results for coupled systems in low regularity settings by means of weak solutions or energy methods.
  2. Regularity results for elliptic transmission problems.
  3. Free boundary problems with sharp interfaces.
  4. Well-posedness analysis for nonlinear evolutionary PDEs in the small, for instance multicomponent flows.
  5. Control theory.

I have also a strong interest for mathematical modelling of technical processes . I have been involved in several projects concerning the modelling of semiconductor crystal growth processes and of lithium-ion batteries.

Presently I am preparing my Habilitation-Thesis on mathematical methods for multicomponent flows. I am also involved in exciting projects on the thermodynamic modelling of fluid mixtures.


Scientific publications

PhD-Thesis

Peer-reviewd journals

Applied Analysis

Modelling and Simulation

Preprints, submitted articles

Proceedings

Older preprints, reports

Book (Philosophy)


Teaching


Projects (as PI)

01.2018-12.19 Head of the project Analysis of improved Nernst-Planck-Poisson models for incompressible electrolytes subject to chemical reactions within the Program Temporary Positions for Principal Investigators of the German Science Foundation .


Some career steps

Since 01.20 Research assistant in the group Partial Differential Equations (Head Prof. A. Mielke) at the Weierstrass-Institute Berlin.
01.2018-12.19 Head of the project Analysis of improved Nernst-Planck-Poisson models for incompressible electrolytes subject to chemical reactions within the Program Temporary Positions for Principal Investigators of the German Science Foundation .
04.2017-12.2017 Collaborator in the project Stochastic methods for the analysis of lithium-ion batteries in the Einstein Centre for Mathematics Berlin. (Project heads Prof. J.-D. Deuschel, Prof. W. Dreyer, Prof. P. Friz, Dr. C. Guhlke).
04.2016-03.2017 Research assistant in the group Partial Differential Equations (Head Prof. A. Mielke) at the Weierstrass-Institute Berlin.
05.2008-01.2014 Collaborator in the project Simulation and Optimization of Semiconductor Crystal Growth from the Melt Controlled by Traveling Magnetic Fields in the context of the Research Centre Matheon of the German Science Foundation. (Project Heads: Dr. O. Klein, Prof. J. Sprekels und Prof. F. Tröltzsch).
10.2005-05.2008 Collaborator in the project Kristmag- Crystal Growth in Wandering Magnetic Field of the BMBF (Awardee of the Innovationspreis Berlin-Brandenburg 2008).
10.2005-04.2016 Research assistant in the group Thermodynamical Modelling and Analysis of Phase Transitions (Head Prof. W. Dreyer) at the Weierstrass-Institute Berlin .


More scientific activities


Interventions at international conferences


More external talks


Research visits