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.

Research Interests

  • Nonlinear partial differential equations (regularity, existence, numerical analysis)
  • Fluid dynamics (compressible fluids, non-Newtonian Fluids, Fluid-structure interaction)
  • Analysis of evolutionary systems (intrinsic geometry, Bochner spaces)
  • Calculus of variations (non-standard growth, rate independent systems)
  • Theory of finite element methods (convergence rates, adaptivity methods)

Teaching

WS 2017/18


Recent Publications

D. Breit and S. Schwarzacher: Compressible fluids interacting with a linear-elastic shell (2017), accepted at ARMA, Preprint.

 

F. Rindler, S. Schwarzacher, E. Suli: Regularity and approximation of strong solutions to rate-independent systems (2017), accepted at M3AS, Preprint.

L. Diening, S. Schwarzacher, B. Stroffolini and A. Verde: Parabolic Lipschitz truncation and Caloric Approximation (2017), accepted at Calc. of Var. and PDE, 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.

 

A. Cianchi and S. Schwarzacher: Potential estimates for the p-Laplace system with data in divergence form, (2017), submitted.

 

Y. Lu and S. Schwarzacher: Homogenization of the compressible Navier-Stokes equations in domains with very tiny holes (2017), submitted, Preprint.

 

U. Gianazza and S. Schwarzacher: Self-improving property of degenerate parabolic equations of porous medium-type (2016), submitted, Preprint.

 

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

News

Prof. Dr. S. Müller erhält den diesjährigen Lehrpreis der Universität Bonn (07.07.17).

Prof. Dr. Michael Ortiz kommt als Bonn Research Chair ans IAM (Pressemitteilung, 29.7.2016).

Prof. Dr. S. Conti erhält den diesjährigen Lehrpreis der Universität Bonn (05.07.2016).

Prof. Dr. Karl-Theodor Sturm, Koordinator des Hausdorff Zentrums für Mathematik an der Universität Bonn, erhält für seine eigene Forschung einen begehrten Advanced Grant des Europäischen Forschungsrats (ERC). (Pressemitteilung 21.04.2016)

Prof. Dr. Stefan Müller has been invited to become full member of the scientific society “Academia Europaea” in November. Only European scientists, who have been recommended by a review board and are confirmed by a vote of the council, can join the society. (06.01.2016)

Contact

Managing Director: Prof. Dr. Anton Bovier
Chief Administrator: Dr. B. Doerffel
geschaeftsfuehrung@iam.uni-bonn.de
Imprint

Mailing address

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