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

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)

Prof. Jens Frehse (em.) hat die Golden Commemorative Medal der Fakultät für Mathematik und Physik der Karls-Universität Prag erhalten für sein außerordentliches wissenschaftliches Lebenswerk sowie für seine bedeutenden Beiträge zur Analysis Partieller Differentialgleichungen. (01.06.2018)

Die ehemalige Doktorandin am IAM, Lisa Hartung (aktuell: Courant Institute of Mathematical Sciences, New York), wurde für ihre herausragende Doktorarbeit "Extremal Processes in Branching Brownian Motion and Friends" (Betreuer: Prof. Bovier) mit dem Förderpreis der DMV-Fachgruppe Stochastik ausgezeichnet. Details hier. (14.03.2018)

Prof.  Patrik Ferrari erhält den ersten Alexandros Award zusammen mit Ivan Corwin (Columbia University) und Alexei Borodin (MIT) für den Artikel "Free energy fluctuations for directed polymers in random media in 1+1 dimensions".
Details siehe hier. (12.03.2018)

Contact

Managing Director: Prof. Dr. Massimiliano Gubinelli
Chief Administrator: Dr. B. Doerffel
geschaeftsfuehrung@iam.uni-bonn.de
Imprint | Datenschutzerklärung

Mailing address

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