Sebastian Hensel - Hausdorff Center for Mathematics

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

0000-0001-7252-8072

Research interests

Interface evolution problems (uniqueness and stability, phase-field approximation)
Fluid mechanics (existence, regularity, dynamic contact angles)
Stochastic homogenization, stochastic partial differential equations

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