Institute for applied mathematics

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


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

Den Hausdorff Memorial Prize für die beste PhD-Arbeit 2018 der Fachgruppe Mathematik erhielt Frau Eva Kopfer aus der Stochastischen Analysis (Prof. Dr. T. Sturm). (26.01.2019)

Einen der BMG-Bachelor-Preise 2018 für die beste Bachelor-Arbeit hat Herr Adrian Riekert für seine Arbeit "Statistical Mechanics of a Two-Dimensional Inviscid Fluid" bei Prof. Dr. M. Gubinelli erhalten. (23.01.2019)

Frau Dr. Antje Kiesel hat mit zwei weiteren Partnern einen Lehr-Sonderpreis der Fakultät 2018 für das e-learning Projekt "Fit4Math" erhalten.

The Department of Mathematics and the Hausdorff Center for Mathematics of the University of Bonn mourn over Prof. Dr. Kazumasa Kuwada. (more)

The Universidad Politécnica de Madrid (UPM) has awarded Professor Michael Ortiz a Doctorate Honoris Causa (honorary doctorate). (10.12.2018)

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)

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