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.


***From August 2023 to March 2025, I am on parental leave. During that time you can still reach me via e-mail as usual (see below).***


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
[16]     Stochastic homogenization of nonlinear uniformly elliptic equations: Fluctuations of the corrector and its (higher-order) linearizations

Preprints
[15]     Stability of multiphase mean curvature flow beyond circular topology changes,
together with Julian Fischer, Alice Marveggio, and Maximilian Moser,
submitted, 56 p., 2024.
arXiv:2404.02884
[14]     A weak-strong uniqueness principle for the Mullins-Sekerka equation,
together with Julian Fischer, Tim Laux, and Theresa Simon,
arXiv preprint, 48 p., 2024.
arXiv:2404.02682
[13]     Local minimizer for the interface length functional based on a concept of local paired calibrations, together with Julian Fischer, Tim Laux, and Theresa Simon,
submitted, 35 p., 2022.
arXiv:2212.11840
[12]     Corrector estimates for higher-order linearizations in stochastic homogenization of nonlinear uniformly elliptic equations,
arXiv preprint, 82 p., 2020.
arXiv:2012.04972

Publications in Peer-Reviewed Journals
[11]     A new varifold solution concept for mean curvature flow: Convergence of the Allen-Cahn equation and weak-strong uniqueness, together with Tim Laux,
accepted for publication at J. Differ. Geom., 40 p., 2024.
preprint arXiv:2109.04233
[10]     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,
first part accepted for publication at J. Eur. Math. Soc. (JEMS), 55 p., 2023.
preprint arXiv:2003.05478
[9]     Weak solutions of Mullins-Sekerka flow as a Hilbert space gradient flow,
together with Kerrek Stinson,
Arch. Ration. Mech. Anal. 248, 8 (2024), doi:10.1007/s00205-023-01950-0.
preprint arXiv:2206.08246
[8]     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,
SIAM J. Math. Anal. 55 (2023), doi:10.1137/22M1500587.
preprint arXiv:2201.09423v2
[7]     BV solutions for mean curvature flow with constant contact angle: Allen-Cahn approximation and weak-strong uniqueness, together with Tim Laux,
Indiana Univ. Math. J. 73(1), 111-148 (2024), doi:10.1512/iumj.2024.73.9701.
preprint arXiv:2112.11150
[6]     Convergence rates for the Allen-Cahn equation with boundary contact energy: The non-perturbative regime, together with Maximilian Moser,
Calc. Var. PDE 61, 201 (2022), doi:10.1007/s00526-022-02307-3.
preprint arXiv:2112.11173
[5]     Weak-strong uniqueness for the Navier-Stokes equation for two fluids with ninety degree contact angle and same viscosities, together with Alice Marveggio,
J. Math. Fluid Mech. 24, 93 (2022), doi:10.1007/s00021-022-00722-2.
preprint arXiv:2112.11154
[4]     Weak-strong uniqueness for the mean curvature flow of double bubbles,
together with Tim Laux,
Interfaces Free Bound. 25, 37-107 (2023), doi:10.4171/IFB/484.
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

Talks at Conferences and Workshops
04/2024    Conference "The Cahn-Hilliard equation - recent advances and new challenges"
Checiny, Poland
03/2024    GAMM 2024
Minisymposium "Free boundary problems in the sciences: PDE analysis and modeling"
Otto von Guericke University Magdeburg
09/2022    Annual workshop of the "GAMM Activity Group on Analysis of PDE"
IST Austria
09/2022    Nonlinear evolutionary equations and applications 2022
TU Chemnitz
08/2022    GAMM 2022
RWTH Aachen
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
05/2023    University of Dortmund
Oberseminar Analysis
05/2023    University of Regensburg
IntComSin Colloquium
04/2023    Max-Planck-Institute for Mathematics in the Sciences, Leipzig
Oberseminar Analysis-Probability
12/2022    Institute of Applied Mathematics, University of Bonn
PDE research groups seminar
12/2022    University of Münster
Colloquium at the Institute for Analysis and Numerics
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