Dr. Sebastian Schwarzacher

Contact:

Address:
Institut für Angewandte Mathematik
Universität Bonn
Endenicher Allee 60
53115 Bonn
Room: 2.052
Phone:+49 (0)228 73-62297
Email: schwarz(at)iam.uni-bonn.de
Additionally, I am Assistance Professor at the Charles University, Prague.
NEW: Offer for two PostDoc possitions at Charles University, Prague as members of my grant (Primus Research Programme): Announcement.

Research Interests

  • Nonlinear partial differential equations (existence, uniqueness, regularity, numerics)
  • Fluid dynamics (compressible and non-Newtonian fluids, fluid-structure interaction)
  • Theory of numerics for PDEs (time schemes, convergence rates, Galerkin methods)
  • Analysis of evolutionary non-linear PDEs (variable domains, intrinsic geometry)



Teaching

SS 2018

WS 2017/18

  • <link afa teaching fluid-dynamics internal-link internal link in current>Fluid dynamics and non-linear analysis
    Lecture course - Selected topics in Analysis and PDE (V5B2)
    Fridays 10-12, room N 0.007 Neubau.

    Recent Publications

    Y. Lu and S. Schwarzacher: Homogenization of the compressible Navier-Stokes equations in domains with very tiny holes (2018), accepted at JDE, Preprint.

     

    U. Gianazza and S. Schwarzacher: Self-improving property of degenerate parabolic equations of porous medium-type (2018), accepted at Am. J. of Math. , Preprint.

     

    A. Cianchi and S. Schwarzacher: Potential estimates for the p-Laplace system with data in divergence form, (2018), to appear in JDE.

     

    D. Breit and S. Schwarzacher: Compressible fluids interacting with a linear-elastic shell, ARMA,
    vol 228, (2018), p. 495--562. Preprint.

     

    F. Rindler, S. Schwarzacher, E. Suli: Regularity and approximation of strong solutions to rate-independent systems,M3AS, (2017), vol. 27, p. 2511-2556. Preprint.

    L. Diening, S. Schwarzacher, B. Stroffolini and A. Verde: Parabolic Lipschitz truncation and Caloric Approximation Calc. of Var. and PDE, (2017), vol. 56, p. 120, Preprint.

    D. Breit, A. Cianchi, L. Diening, T. Kuusi and S. Schwarzacher: Pointwise Calderon-Zygmund gradient estimates for the p-Laplace system, (2017), in press at JMPA, doi.org/10.1016/j.matpur.2017.07.011, Preprint.

    M. Bulicek, J. Burczak and S. Schwarzacher: A unified theory for some non Newtonian fluids under singular forcing, SIAM J. Math. Anal., (2016), vol. 48, p. 4241–4267. Preprint.

    M. Bulicek and S. Schwarzacher: Existence of very weak solutions to elliptic systems of p-Laplacian type, Calc. of Var. and PDE, (2016), vol. 55, 14 pp Preprint.


    Recent Preprints

    Vaclav Macha, Sebastian Schwarzacher: Global BMO estimates for non-Newtonian fluids with perfect slip boundary conditions, (2017), Preprint.

     

    L. Diening, T. Scharle and S. Schwarzacher: Regularity for parabolic systems of Uhlenbeck type with Orlicz growth (2016), submitted, Preprint.

    News

    Florian Schweiger erhielt den Hausdorff-Gedächtnispreis 2021 der Fachgruppe Mathematik für die beste Dissertation. Er fertigte die Dissertation unter der Betreuung von Prof. Stefan Müller an. Unter anderen wurde Vanessa Ryborz mit einem Preis der Bonner Mathematischen Gesellschaft für ihre von Prof. Sergio Conti betreute Bachelorarbeit ausgezeichnet. (18.01.2022)

    Prof. Dr. Sergio Albeverio has been elected into the Academia Europaea and the Accademia Nazionale dei Lincei (more; 02.12.2021).

    Der SFB 1060 Die Mathematik der emergenten Effekte hat eine dritte Förderperiode erhalten. (26.11.20)

    Prof. Dr. Andreas Eberle erhält den diesjährigen Lehrpreis der Universität Bonn. (22.07.2020)

    Herr Dr. Richard Höfer erhielt den Hausdorff-Gedächtnispreis 2019 der Fachgruppe Mathematik für die beste Disseration. Betreut wurde die Arbeit von Prof. J. Velázquez (29.01.2020).

    Contact

    Managing Director: Prof. Dr. Massimiliano Gubinelli
    Chief Administrator: Dr. B. Doerffel
    geschaeftsfuehrung@iam.uni-bonn.de
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    Mailing address

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