About

Welcome to my website!

I am a postdoctoral research assistant in the field of applied mathematics in the research group of Prof. Ansgar Jüngel at the Vienna University of Technology.

My research is on partial differential equations and their applications in biology, physics, and chemistry. My focus is on the analysis and modeling of cross-diffusion in biological systems, as well as on multi-species kinetic models. In particular, I am interested in the following topics:

  • Kinetic and diffusive multi-species systems
  • Entropy methods for dissipative systems
  • Cross diffusion in multi-species biological systems
  • Fast-reaction limits
  • Hypocoercivity in kinetic equations

  Publications and Preprints

  • E. S. Daus, L. Desvillettes, A. Jüngel: Cross diffusion systems and fast reaction limits. Submitted for publication (2017), (25 pages) [arXiv]
  • X. Chen, E. S. Daus, A. Jüngel: Global existence analysis of cross-diffusion population systems for multiple species. Accepted in Arch. Ration. Mech. Anal., (2017), (33 pages) [DOI] [arXiv]
  • M. Briant, E. S. Daus: The Boltzmann equation for a multi-species mixture close to global equilibrium. Arch. Ration. Mech. Anal., 222(3): 1367-1443,  (2016).  [DOI] [arXiv]
  • E. S. Daus, A. Jüngel, C. Mouhot, N. Zamponi: Hypocoercivity for a linearized multi-species Boltzmann system. SIAM J. Math. Anal. 48 (2016), no. 1, 538-568.  [DOI] [arXiv]

Grants and Awards

  • 2017 Christiana Hörbiger Award, Austria.
  • 2017 Best Paper Award 2016, Faculty of Mathematics and Geoinf., TU Wien, Austria.
  • 2017 Oberwolfach Leibniz Graduate Student Travel Grant to Oberwolfach, (GER).
  • 2016 Mittag-Leffler Travel Grant to Stockholm, Sweden.

Scientific Talks

  • 12/2017 Oberwolfach ‘Classical and quantum mechanical models of many-particle systems’.
  • 10/2017  Seminar at the University of Zagreb, Croatia
  • 09/2017  “MAFRAN days”, Cambridge, UK
  • 05/2017 “Cross diffusion and kinetic equations in biology”, WPI Vienna, Austria
  • 03/2017 “Franco-Italian meeting on kinetic theory and singular parabolic equations”, Paris 7
  • 02/2017 Groupe de travail ” Modélisation numérique et image”, Paris 5, MAP5, France
  • 01/2017 DK NPDE Winterschool, Reichenau an der Rax, Austria
  • 11/2016 Seminar at the Institut Mittag-Leffler, Stockholm, Sweden
  • 05/2016: Conference “Mathematical Topics in Kinetic Theory”, Cambridge, UK
  • 11/2015:  Seminar of the Doctoral School LJLL, Paris 6, France
  • 09/2015: Workshop “Multiscale transport of particles”, WPI Vienna, Austria
  • 07/2015: Seminar des Lehrstuhls f. Mathematik IV, Universität Mannheim, Germany
  • 07/2015: “Kinetic equations and defect dynamics”, HCB Bonn, Germany
  • 07/2015: Conference “Equadiff 2015”, Lyon, France
  • 05/2015: Workshop „Mathematical problems in kinetic theory“, CHL Rennes, France
  • 02/2015: WCMB Group Meeting, Oxford, UK
  • 02/2015: SIAM Student Chapter Conference, Oxford, UK

  Short Visits

  • November-December 2016: Paris Université 7, France
    Invited by Laurent Desvillettes.
  • March-June 2016: Paris Université 6/7, France
    Invited by Ayman Moussa, Laurent Boudin and Laurent Desvillettes.
  • Oct-Dec 2015: Paris Université 6/7, France
    Invited by Ayman Moussa, Laurent Boudin and Laurent Desvillettes.
  • Jan-March 2015: University of Oxford, UK
    Invited by Maria Bruna.
  • June-July 2014: University of Cambridge, UK
    Invited by Clément Mouhot.

Longer Research Stay

  • January-June 2017: Paris Université 7, France
    Collaboration with Laurent Desvillettes.

Workshops and Conferences

  • Oberwolfach Workshop ‘Classical and quantum mechanical models of many-particle systems’, Germany, 03.12.-09.12.2017
  • Workshop “MAFRAN Days: Mathematical Frontiers in Many-particle Systems”, University of Cambridge, UK, 15.09.-27.09.2017
  • Workshop “Cross diffusion and kinetic equations in biology”, WPI Vienna, 10.05.-12.05.2017
  • Workshop “Women in PDEs@Karlsruhe”, Karlsruhe, Germany, 27.04.-28.04.2017
  • KIBORD “Franco-Italian meeting on kinetic theory and singular parabolic equations”, Paris 7, France, 16.03.-17.03.2017
  • “Forefront of PDEs: Modelling, Analysis and Numerics”,  TU Vienna, 12.12.-14.12.2016
  • Thematic Semester Research Program “Interactions between Partial Differential Equations and Functional Inequalities”,  Institute Mittag-Leffler, Stockholm, Sweden, 04.11.-12.11.2016
  • Workshop “Kinetic equations”, Paris 6, France, 01.06.2016
  • “Mathematical topics in kinetic theory”, Cambridge, UK, 09.05.-13.05.2016
  • “Workshop on complex systems of reaction-diffusion”, Paris 7, France, 24.03.-25.03.2016
  • WPI Workshop “Multiscale Transport of particles”, Vienna, Austria, 14.09.-16.09.2015
  • Hausdorff School “Nonlinear evolutions: Kinetic equations and defect dynamics”, Bonn, Germany, 12.07.-17.07.2015
  • Equadiff 2015, Lyon, France, 01.07.-10.07.2015
  • Vienna PDE Day, TU Vienna, Austria, 16.06.2015
  • Collective dynamics in gradient flows and entropy driven structures, L’Aquila, Italy, 31.05.-08.06.2015
  • Workshop „Mathematical Problems in kinetic theory“, Rennes, France, 25.05.-30.05.2015
  • Conference “Kinetic Equations”, CIRM, Marseille, France, 10.11.-14.11.2014
  • ESI Vienna “Scaling limits and effective theories in classical and quantum mechanics”, Austria, 22.09.-26.09.2014
  • ESI Vienna “Scaling limits and effective theories in classical and quantum mechanics”, Austria, 22.09.-26.09.2014
  • DK NPDE Summer School, Weissensee, Austria, 14.09.-20.09.2014
  • Joint Summer School IGDK 1754 and DK NPDE, Graz, Austria, 07.09.-11.09.2014
  • VII Edition “Summer School M&MKT14 Porto Ercole”, Porto Ercole, Italy, 07.06.-14.06.2014
  • Conference “Advances in nonlinear PDEs”, TU Vienna, Austria, 02.06.-03.06.2014
  • KI-NET Conference, London, UK, 19.05.-23.05.2014
  • OCCAM + ESGI, Oxford, UK, 31.03.-11.04.2014

 

 

 

 

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