Dr. Tim Binz

Arbeitsgebiet(e)

Analysis

Kontakt

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

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