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
  • Interactions between kinetic and diffusive PDEs and probability
  • Cross diffusion in biological systems
  • Hypocoercivity in kinetic equations

  Publications and Preprints

  1. E. S. Daus, P.-J. Milisic, N. Zamponi: Analysis of a degenerate and singular volume-filling cross-diffusion system modeling biofilm growth. Submitted for publication, 2018 (40 pages). [arXiv]
  2. E. S. Daus, L. Desvillettes, H. Dietert: About the entropic structure of detailed balanced multi-species cross-diffusion equations. Submitted for publication, 2018, (20 pages). [arXiv]
  3. E. S. Daus, A. Jüngel, B. Q. Tang: Exponential time decay of solutions to reaction-cross-diffusion systems of Maxwell-Stefan type. Subm. for publication, 2018, (43 pages). [arXiv]
  4. E. S. Daus, L. Desvillettes, A. Jüngel: Cross diffusion systems and fast reaction limits. Submitted for publication (2017), (25 pages). [arXiv]
  5. X. Chen, E. S. Daus, A. Jüngel: Global existence analysis of cross-diffusion population systems for multiple species. Arch. Ration. Mech. Anal.,  227(2): 715-747, (2018). [DOI] [arXiv]
  6. 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]
  7. 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

  • 2018 ÖAD- Austrian agency for international cooperation in education and research, Bilateral Reserach Project HR 04/2018 with Croatia, Principal Investigator.
  • 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 Invitation to the Mittag-Leffler Institute, Stockholm, Sweden.

Scientific Talks

  • 05/2018 Oberseminar Dynamics, TU Munich, Germany
  • 01/2018 Seminar at the University of Mannheim, Germany
  • 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

Longer Research Stay

  • January-June 2017: Paris Université 7,  IMJ-PRG, France
    6-months post-doc position with Laurent Desvillettes.

  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.

Workshops and Conferences

  • Workshop Stochastic Partial Differential Equations,  CIRM, Luminy, France, 14.05.-18.05.2018.
  • Workshop on kinetic and fluid partial differential equations, Paris Descartes and Paris Diderot,  Paris, France, 07.03.-09.03.2018.
  • 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