Institute for applied mathematics

Arthur H.M. Kierkels

Currently at Statistics Netherlands.

 

Former PhD student in the group of Prof. Dr. Juan J. L. Velázquez,
funded through project A02 of SFB 1060 The Mathematics of Emergent Effects.

 

You can still find me at MathSciNet or at the Mathematics Genealogy Project.

Research interest

My research focussed on a quadratic kinetic equation, which arises in the theory of weak turbulence for the nonlinear Schrödinger equation as an approximation of the long time behaviour of solutions after condensate formation. Please consult my thesis for all details.

Publications

  • A.H.M. Kierkels, J.J. L. Velázquez: On self-similar solutions to a kinetic equation arising in weak turbulence theory for the nonlinear Schrödinger equation. J. Stat. Phys. 163, 1350-1393 (2016) [ article : preprint ]
  • A.H.M. Kierkels, J.J. L. Velázquez: On the transfer of energy towards infinity in the theory of weak turbulence for the nonlinear Schrödinger equation. J. Stat. Phys. 159, 668-712 (2015) [ article : preprint ]

Preprint

  • A.H.M. Kierkels: On a kinetic equation in weak turbulence theory for the nonlinear Schrödinger equation. arXiv:1606.07290

Education

  • 2013-2016: PhD in Mathematics at the University of Bonn
         On a kinetic equation arising in weak turbulence theory for the nonlinear Schrödinger equation. [ thesis ]
    Advisor: Prof. Dr. Juan J. L. Velázquez

  • 2011-2013: MSc in Mathematics at the University of Bonn
    Advisor: Prof. Dr. Barbara Niethammer

  • 2008-2011: BSc in Mathematics and BSc in Physics and Astronomy at Utrecht University
    Advisor: Prof. Dr. Odo Diekmann

News

Prof. Stefan Müller has been elected as Fellow of the European Academy of Sciences (15.10.2018).

Prof. Sergio Albeverio was awarded on 28/09/2018 the title Doctor Honoris Causa
at the Dept. of Mathematics, Stockholm University. (08.10.2018)

Prof. Jens Frehse (em.) hat die Golden Commemorative Medal der Fakultät für Mathematik und Physik der Karls-Universität Prag erhalten für sein außerordentliches wissenschaftliches Lebenswerk sowie für seine bedeutenden Beiträge zur Analysis Partieller Differentialgleichungen. (01.06.2018)

Die ehemalige Doktorandin am IAM, Lisa Hartung (aktuell: Courant Institute of Mathematical Sciences, New York), wurde für ihre herausragende Doktorarbeit "Extremal Processes in Branching Brownian Motion and Friends" (Betreuer: Prof. Bovier) mit dem Förderpreis der DMV-Fachgruppe Stochastik ausgezeichnet. Details hier. (14.03.2018)

Prof.  Patrik Ferrari erhält den ersten Alexandros Award zusammen mit Ivan Corwin (Columbia University) und Alexei Borodin (MIT) für den Artikel "Free energy fluctuations for directed polymers in random media in 1+1 dimensions".
Details siehe hier. (12.03.2018)

Contact

Managing Director: Prof. Dr. Massimiliano Gubinelli
Chief Administrator: Dr. B. Doerffel
geschaeftsfuehrung@iam.uni-bonn.de
Imprint | Datenschutzerklärung

Mailing address

Institute for Applied Mathematics
University of Bonn
Endenicher Allee 60
D-53115 Bonn / Germany