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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
Publications/Preprints:
Publications/Preprints:
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
Thesis:
Thesis:
Local wellposedness and global regularity results for biharmonic wave maps, PhD Thesis Dec. 2020, Repository KITopen
Moving frames and elliptic systems, Master's Thesis
Teaching (recent):
Teaching (recent):
Fall 21: TA ' Algèbre linéaire ' MATH-111(g) (Lausanne)
Spring 21: TA ' Harmonic Analysis ' Math-405 (Lausanne)
Fall 21: TA ' Algèbre linéaire ' MATH-111(g) (Lausanne)
Spring 21: TA ' Harmonic Analysis ' Math-405 (Lausanne)
Links: EPFL SB MATH KIT MATH
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