55 citations · 159 across the 9 of their papers we have counts for
10 papers
Active smectics on a sphere
Michael Nestler, Simon Praetorius, Zhi-Feng Huang +2
The dynamics of active smectic liquid crystals confined on a spherical surface is explored through an active phase field crystal model. Starting from an initially randomly perturbe…
Stability of rotating equilibrium states of fluid deformable surfaces
Michael Nestler, Axel Voigt
We consider rotating equilibrium states of fluid deformable surfaces. These states are characterized by a force balance between centrifugal and bending forces, involve surface Kill…
A diffuse interface approach for vector-valued PDEs on surfaces
Michael Nestler, Axel Voigt
Approximating PDEs on surfaces by the diffuse interface approach allows us to use standard numerical tools to solve these problems. This makes it an attractive numerical approach.…
Diffusion of tangential tensor fields: numerical issues and influence of geometric properties
Elena Bachini, Philip Brandner, Thomas Jankuhn +4
We study the diffusion of tangential tensor-valued data on curved surfaces. For this purpose, several finite-element-based numerical methods are collected and used to solve a tange…
Active nematodynamics on curved surfaces -- the influence of geometric forces on motion patterns of topological defects
Michael Nestler, Axel Voigt
We derive and numerically solve a surface active nematodynamics model. We validate the numerical approach on a sphere and analyse the influence of hydrodynamics on the oscillatory…
Defects in active nematics: algorithms for identification and tracking
Dennis Wenzel, Michael Nestler, Sebastian Reuther +2
The growing interest in active nematics and the emerging evidence of the relevance of topological defects in biology asks for reliable data analysis tools to identify, classify and…
Properties of surface Landau-de Gennes Q-tensor models
Michael Nestler, Ingo Nitschke, Hartmut Löwen +1
Uniaxial nematic liquid crystals whose molecular orientation is subjected to a tangential anchoring on a curved surface offer a non trivial interplay between the geometry and the t…
A finite element approach for vector- and tensor-valued surface PDEs
Michael Nestler, Ingo Nitschke, Axel Voigt
We derive a Cartesian componentwise description of the covariant derivative of tangential tensor fields of any degree on general manifolds. This allows to reformulate any vector- a…
Nematic liquid crystals on curved surfaces - a thin film limit
Ingo Nitschke, Michael Nestler, Simon Praetorius +2
We consider a thin film limit of a Landau-de Gennes Q-tensor model. In the limiting process we observe a continuous transition where the normal and tangential parts of the Q-tensor…
Orientational order on surfaces - the coupling of topology, geometry, and dynamics
Michael Nestler, Ingo Nitschke, Simon Praetorius +1
We consider the numerical investigation of surface bound orientational order using unit tangential vector fields by means of a gradient-flow equation of a weak surface Frank-Oseen…