Tim Binz

Dr. Tim Binz

Arbeitsgebiet(e)

Analysis

Kontakt

binz@mathematik.tu-...

work +49 6151 16-21476

Work S2|15 429
Schlossgartenstraße 7
64289 Darmstadt

General information

Currently I am a post-doc in the group of Prof. Matthias Hieber.

Research interests

Geophysical flows
Primitive equations
Navier-Stokes equations
Curvature flows
quasi-linear evolution equations
Maximal regularity
Semigroup theory
Operator matrices
Dirichlet-to-Neumann operators

Publications

T. Binz, F. Brandt, M. Hieber, Rigorous analysis of the interaction problem of sea ice with rigid body. Math. Ann., published online. DOI
T. Binz, A.F.M. ter Elst, Dynamic boundary conditions for divergence form operators with Hölder coefficients, Ann. Sc. Norm. Super. Pisa. Cl. Sci. (5), published online. DOI
T. Binz, B. Kovács, A convergent finite element algorithm for mean curvature flow in arbitrary codimension. Interfaces Free Bound. 25 (2023), no. 3, 373-400. DOI
T. Binz, B. Kovács, A convergent finite element algorithm for generalized mean curvature flows of closed surfaces. IMA J. Numer. Anal. 42 (2022), no. 3, 2545-2588. DOI
T. Binz, M. Hieber, Global wellposedness of the primitive equations with nonlinear equation of state in critical spaces. J. Math. Fluid Mech. 24 (2022), no. 2, Paper No. 36, 18 pp. DOI
T. Binz, Analytic semigroups generated by Dirichlet-to-Neumann operators on manifolds. Semigroup Forum 103 (2021), no. 1, 38-61. DOI
T. Binz, K.-J. Engel, First-order evolution equations with dynamic boundary conditions. Philos. Trans. Roy. Soc. A 378 (2020), no. 2158, 20 pp. DOI
T. Binz, Strictly elliptic operators with Dirichlet boundary conditions on spaces of continuous functions on manifolds. J. Evol. Equ. 20 (2020), no. 3. 1005–1028, DOI
T. Binz, Strictly elliptic operators with generalized Wentzell boundary conditions on continuous functions on manifolds with boundary. Arch. Math. 115 (2020), no. 1, 111-120, DOI
T. Binz, K.-J. Engel, Operators with Wentzell boundary conditions and the Dirichlet-to-Neumann operator. Math. Nachr. 292 (2019), no. 4, 733–746, DOI

Preprints

T. Binz, M. Hieber, A. Hussein, M. Saal, The primitive equations with stochastic wind driven boundary conditions (accepted in J. Math. Pures Appl. (9)), arXiv (older Version)
T. Binz, F. Brandt, M. Hieber, A. Roy, Strong well-posedness of a nematic liquid crystal-colloidal interaction model. arXiv
T. Binz, Y. Iida, Uniqueness of weak solutions to the primitive equations in some anisotropic spaces.arXiv
T. Binz, M. Hieber, F. Brandt, Coupling of the ocean and atmosphere dynamics with sea ice. arXiv (older version)
T. Binz, J. Lampart, An abstract framework for interior-boundary conditions. arXiv

Selected Talks

Global strong well-posedness of the coupled atmosphere-ocean model, Conference Talk on the International Workshop “Recent Topics on the Mathematical Fluid Mechanics”, Waseda University, Tokio, Japan, 8th December 2023.
Global strong well-posedness of the coupled atmosphere-ocean model, Short Talk on the Kick-off-meeting of the DFG-Research Unit 5528 Geophysical Flows, Darmstadtium, Darmstadt, Germany, 18th November 2023.
Coupling of the ocean and the atmosphere dynamics with sea ice, Invited Talk on the Mini-Conference „Elliptic and parabolic equations: interplay of asymptotics, regularity and geometry“ in honour of Tom ter Elst's 60th birthday, University Ulm, Ulm, 20th June 2023
Convergent evolving surface finite element algorithms for generalized mean curvature flows, Contribution to the Minisymposition „NAA-09 Finite element methods for geometric PDEs“ of Equadiff 15, Masaryk University, Brno, Czech Republic, 11th July 2022.
Gleichmäßig elliptische Operatoren mit Wentzell Randbedingung und der Dirichlet-zu-Neumann Operator, Talk on the TULKKA Workshop, KIT, Karlsruhe, Germany, 6th February 2018.

Teaching

Selected Topics in Analysis: Fluid Mechanics, Winter term 2023/24.
Contents: Existence of Leray-Hopf solutions to 3D Navier-Stokes equations, Weak-Strong Uniqueness of Leray-Hopf solutions to 3D Navier-Stokes equations, Non-Uniqueness of Leray-Hopf solutions to forced 3D Navier-Stokes equations.

Teaching Assistance

Winter term 2023/24	Mathematik III für Elektrotechnik	PD Dr. Kersten Schmidt
Summer term 2023	Integrationstheorie	Prof. Dr. Christian Stinner
Winter term 2022/23	Funktionalanalysis	Prof. Dr. Matthias Hieber
Summer term 2022	Analysis II	Prof. Dr. Christian Stinner
Winter term 2021/22	Analysis I	Prof. Dr. Christian Stinner
Summer term 2021	Analysis II (english)	Prof. Dr. Matthias Hieber
Winter term 2020/21	Analysis I (english)	Prof. Dr. Matthias Hieber
Winter term 2019/20	Analysis I	Prof. Dr. Frank Loose