Sebastian Hensel
Hausdorff Postdoc (Hausdorff Center for Mathematics, University of Bonn)





Welcome to my webpage. As of September 2021, I am a Hausdorff Postdoc at the Hausdorff Center for Mathematics, University of Bonn. I obtained my PhD under the supervision 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
Hausdorff Center for Mathematics
University of Bonn
Villa Maria, Room 2.001
Endenicher Allee 62
53115 Bonn

E-Mail
t) hcm.uni-bonn.desebastian.hensel (a


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


Research interests



Publications

In Preparation
[15]     Stochastic homogenization of nonlinear uniformly elliptic equations: Fluctuations of the corrector and its (higher-order) linearizations
[14]     A weak-strong uniqueness principle for the Mullins-Sekerka equation,
together with Julian Fischer, Tim Laux, and Theresa Simon
[13]     Local minimizer for the interface area functional based on a concept of local paired calibrations, together with Julian Fischer, Tim Laux, and Theresa Simon

Preprints
[12]     Weak solutions of Mullins-Sekerka flow as a Hilbert space gradient flow,
together with Kerrek Stinson,
submitted, 46 p., 2022.
arXiv:2206.08246
[11]     The sharp interface limit of a Navier-Stokes/Allen-Cahn system with constant mobility: Convergence rates by a relative energy approach, together with Yuning Liu,
submitted, 38 p., 2022.
arXiv:2201.09423v2
[10]     Weak-strong uniqueness for the Navier-Stokes equation for two fluids with ninety degree contact angle and same viscosities, together with Alice Marveggio,
in (minor) revision at J. Math. Fluid Mech., 63 p., 2021.
arXiv:2112.11154
[9]     Convergence rates for the Allen-Cahn equation with boundary contact energy: The non-perturbative regime, together with Maximilian Moser,
in (minor) revision at Calc. Var. Partial Differential Equations, 61 p., 2021.
arXiv:2112.11173
[8]     BV solutions for mean curvature flow with constant contact angle: Allen-Cahn approximation and weak-strong uniqueness, together with Tim Laux,
in (minor) revision at Indiana Univ. Math. J., 24 p., 2021.
arXiv:2112.11150
[7]     A new varifold solution concept for mean curvature flow: Convergence of the Allen-Cahn equation and weak-strong uniqueness, together with Tim Laux,
submitted, 38 p., 2021.
arXiv:2109.04233
[6]     Corrector estimates for higher-order linearizations in stochastic homogenization of nonlinear uniformly elliptic equations,
preprint, 83 p., 2020.
arXiv:2012.04972
[5]     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,
submitted, 104 p., 2020.
arXiv:2003.05478

Publications in Peer-Reviewed Journals
[4]     Weak-strong uniqueness for the mean curvature flow of double bubbles,
together with Tim Laux,
accepted for publication at Interfaces Free Bound., 61 p., 2022.
preprint arXiv:2108.01733
[3]     Finite time extinction for the 1D stochastic porous medium equation with transport noise, Stoch PDE: Anal Comp 9, 892-939 (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, 967-1087 (2020), 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, 251-297 (2020), doi:10.4064/sm180411-11-2.
preprint arXiv:1709.05202

Theses
[T2]     Curvature driven interface evolution: Uniqueness properties of weak solution concepts,
PhD Thesis, 2021.
[T1]     Local boundedness of local suitable weak solutions of the Navier-Stokes equations,
Master Thesis, 2017.



Scientific CV

Scientific positions
09/2021    Postdoc in Mathematics
Hausdorff Center for Mathematics, University of Bonn
Mentor: Prof. Tim Laux

Education
09/2021    PhD in Mathematics
Research group of Prof. Julian Fischer
Institute of Science and Technology Austria (IST Austria)
Thesis committee: Julian Fischer, Antonin Chambolle, Eduard Feireisl
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
09/2021    15th International Conference on Free Boundary Problems: Theory and Applications 2020 (FBP 2020)
Minisymposium "Stochastic free boundary problems"
online
05/2021    SIAM Conference on Mathematical Aspects of Materials Science (MS20)
online
03/2021    GAMM 2020@21
online
09/2020    Annual workshop of the "GAMM Activity Group on Analysis of PDE"
online
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

Research Seminar Talks
12/2021    Institute of Applied Mathematics, University of Bonn
PDE research groups seminar
12/2020    Max-Planck-Institute for Mathematics in the Sciences, Leipzig
Research Seminar Arbeitsgemeinschaft Angewandte Analysis
11/2020    Institute of Applied Mathematics, University of Bonn
Oberseminar Analysis
02/2018    Institute of Science and Technology Austria, Klosterneuburg
Seminars on Analysis and Mathematical Physics
09/2017    Institute of Science and Technology Austria, Klosterneuburg
Seminar Research Group Prof. Jan Maas
07/2017    Humboldt University Berlin
Research Seminar Applied Analysis
07/2016    Humboldt University Berlin
Research Seminar Applied Analysis