About

Welcome to my webpage!

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

I am interested in 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 multi-species kinetic models.

From Nov. 2013 to Oct. 2016, I did my PhD at the Institute for Analysis and Scientific Computing at the Vienna University of Technology in Austria under the supervision of Ansgar Jüngel in the framework of the Doctoral Program “Dissipation and Dispersion in nonlinear PDEs“, which was supported by the Austrian Science Fund (FWF).

Research interests

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

Preprints

  • E. S. Daus, L. Desvillettes, A. Jüngel: Cross diffusion systems and fast reaction limits. Submitted for publication (2017), (25 pages) [arXiv]

 Publications

  • 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]

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.

Scientific talks

  • 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

Workshops/Conferences

  • 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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