I am a postdoctoral researcher at EPFL in the Chair of Partial Differential Equations directed by Prof. Joachim Krieger.
Prior to that I obtained a PhD in December 2020 at the Karlsruhe Institute of Technology (KIT) and the Collaborative Research Center 1173 "Wave Phenomena: analysis and numerics". During 09/2019 - 12/2019 I was a visiting student at EPFL.
Contact: mail: tobias dot schmid at epfl dot ch
EPFL SB MATH PDE
MA C1 637 (Bâtiment MA)
Station 8
CH-1015 Lausanne
Activity:
Conference on Wave Phenomena Karlsruhe, Feb. 2022
Talk Oberseminar Analysis Universität Bielefeld, June 2021
Research Interests: Nonlinear partial differential equations, e.g. singularity formation, stability and spectral theory related to
Nonlinear wave equations, Hamiltonian systems
Geometric differential equations
Biharmonic wave maps: local wellposedness in high regularity, Nonlinearity 33 (5), 2270 (with S Herr, T Lamm and R Schnaubelt), arXiv
Energy bounds for a fourth-order equation in low dimension related to wave maps, arXiv preprint, arXiv, To appear in Proc. Amer. Math. Soc.
Global results for a Cauchy problem related to biharmonic wave maps, arXiv preprint, arXiv
Blow up dynamcis for the critical Zakharov system (with J Krieger), in preparation
On the finite time blow up dynamics near the ground state of the energy critical Nonlinear Schrödinger equation, in preparation
Local wellposedness and global regularity results for biharmonic wave maps, PhD Thesis Dec. 2020, Repository KITopen
Moving frames and elliptic systems, Master's Thesis
Links: EPFL SB MATH KIT MATH