Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Nestler, Michael"'
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 perturbed isotropic phase, several types of topological defects are spontaneou
Externí odkaz:
http://arxiv.org/abs/2311.03836
Autor:
Nestler, Michael, Voigt, Axel
We consider rotating equilibrium states of fluid deformable surfaces. These states are characterized by a force balance between centrifugal and bending forces, involve surface Killing vector fields and are independent on the surface viscosity. Consid
Externí odkaz:
http://arxiv.org/abs/2307.09637
Autor:
Nestler, Michael, Voigt, Axel
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. We extend this approach to vector-valued surface PDEs and explore thei
Externí odkaz:
http://arxiv.org/abs/2303.07135
Autor:
Bachini, Elena, Brandner, Philip, Jankuhn, Thomas, Nestler, Michael, Praetorius, Simon, Reusken, Arnold, Voigt, Axel
Publikováno v:
Journal of Numerical Mathematics, 2023
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 tangential surface n-tensor heat flow problem. These methods differ with re
Externí odkaz:
http://arxiv.org/abs/2205.12581
Autor:
Nestler, Michael, Voigt, Axel
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 motion of topological defects. For ellipsoidal surfaces the influence
Externí odkaz:
http://arxiv.org/abs/2107.07779
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 track such defects in simulation and microscopy data. We here provide
Externí odkaz:
http://arxiv.org/abs/2002.02748
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 topology of the surface and the orientational degree of freedom. We con
Externí odkaz:
http://arxiv.org/abs/1912.08685
Autor:
Bhatnagar, Archit, Nestler, Michael, Gross, Peter, Kramar, Mirna, Leaver, Mark, Voigt, Axel, Grill, Stephan W.
Publikováno v:
In Current Biology 4 December 2023 33(23):5096-5108
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- and tensor-valued surface PDE in a form suitable to be solved by establ
Externí odkaz:
http://arxiv.org/abs/1809.00945
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 decouple and various intrinsic and extrinsic contributions emerge. Ma
Externí odkaz:
http://arxiv.org/abs/1709.09436