Sebastian Hensel
PhD student (Institute of Science and Technology Austria)





Welcome to my webpage. I am a PhD student in the research group of Prof. Julian Fischer at the Institute of Science and Technology Austria (IST Austria). My main field of research is the mathematical theory of partial differential equations.


Contact Details
Sebastian Hensel
Institute of Science and Technology Austria
Am Campus 1
AT-3400 Klosterneuburg

Office Building West, 3rd Floor, Room I21.O3.121

E-Mail
t) ist.ac.atsebastian.hensel (a

ORCID iD
ORCID iD icon 0000-0001-7252-8072


Research interests



Publications

In Preparation
[11]     Convergence rates for the Allen-Cahn equation with boundary contact energy: The non-perturbative regime, together with Maximilian Moser
[10]     Stochastic homogenization of nonlinear uniformly elliptic equations: Fluctuations of the corrector and its (higher-order) linearizations
[9]     Weak-strong uniqueness for two-phase Navier-Stokes flow with ninety degree contact angle, together with Julian Fischer and Alice Marveggio
[8]     A weak-strong uniqueness principle for the Mullins-Sekerka equation,
together with Julian Fischer, Tim Laux, and Theresa Simon
[7]     Local minimizer for the interface area functional based on a concept of local paired calibrations, together with Julian Fischer, Tim Laux, and Theresa Simon
[6]     Weak-strong uniqueness for the mean curvature flow of double bubbles,
together with Tim Laux

Preprints
[5]     Corrector estimates for higher-order linearizations in stochastic homogenization of nonlinear uniformly elliptic equations,
preprint, 83 p., 2020.
arXiv:2012.04972
[4]     The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions,
together with Julian Fischer, Tim Laux, and Theresa Simon,
preprint, 87 p., 2020.
arXiv:2003.05478

Publications in Peer-Reviewed Journals
[3]     Finite time extinction for the 1D stochastic porous medium equation with transport noise, Stoch PDE: Anal Comp (2021), doi:10.1007/s40072-021-00188-9.
preprint arXiv:2001.10843
[2]     Weak-strong uniqueness for the Navier-Stokes equation for two fluids with surface tension, together with Julian Fischer,
Arch. Ration. Mech. Anal. 236 (2020), 967-1087, doi:10.1007/s00205-019-01486-2.
preprint arXiv:1901.05433
[1]     Modelled distributions of Triebel-Lizorkin type,
together with Tommaso Rosati,
Studia Math. 252 (2020), 251-297, doi:10.4064/sm180411-11-2.
preprint arXiv:1709.05202

Theses
[T]     Local boundedness of local suitable weak solutions of the Navier-Stokes equations,
Master Thesis, 2017.



CV

Education
09/2017
 - present
    PhD candidate in Mathematics
Research group of Prof. Julian Fischer
Institute of Science and Technology Austria (IST Austria)
09/2017    Master of Science in Mathematics
Humboldt-Universität zu Berlin
09/2015    Bachelor of Science in Mathematics
Freie Universität Berlin
05/2013    Bachelor of Science in Business Administration
Freie Universität Berlin

Contributed and Minisymposium Talks at Conferences and Workshops
03/2020    Current Trends in Applied Mathematics
Minisymposium "Interfaces and Free Boundaries"
University of Erlangen-Nürnberg
10/2019    1st Austrian Calculus of Variations Day
University of Vienna
09/2019    Summer School: Modeling and analysis of evolutionary problems in materials science
HCM Bonn
09/2019    PDE 2019: Partial Differential Equations in Fluids and Solids
WIAS Berlin
07/2019    Equadiff 2019
Leiden University
02/2019    GAMM 2019
TU Vienna
09/2018    Workshop "Mathematics of Thin Structures" (Modeling, Analysis and Simulation)
TU Dresden
08/2018    69th International Workshop on "Variational Analysis and Applications"
Erice
03/2018    Workshop on "Geometric Evolution Equations"
University of Regensburg