214 citations · 1.5k across the 65 of their papers we have counts for
5 papers · 1 filter
Tensorial time derivatives on moving surfaces: General concepts and a specific application for surface Landau-de Gennes models
Ingo Nitschke, Axel Voigt
Observer-invariance is regarded as a minimum requirement for an appropriate definition of time derivatives. We systematically discuss such time derivatives for surface tensor field…
Tangential Tensor Fields on Deformable Surfaces -- How to Derive Consistent -Gradient Flows
Ingo Nitschke, Souhayl Sadik, Axel Voigt
We consider gradient flows of surface energies which depend on the surface by a parameterization and on a tangential tensor field. The flow allows for dissipation by evolving the p…
The elastic inclusion problem in the (amplitude) phase field crystal model
Marco Salvalaglio, Karthikeyan Chockalingam, Axel Voigt +1
In many processes for crystalline materials such as precipitation, heteroepitaxy, alloying, and phase transformation, lattice expansion or compression of embedded domains occurs. T…
Observer-invariant time derivatives on moving surfaces
Ingo Nitschke, Axel Voigt
Observer-invariance is regarded as a minimum requirement for an appropriate definition and derived systematically from a spacetime setting, where observer-invariance is a special c…
Diffuse interface models of locally inextensible vesicles in a viscous fluid
Sebastian Aland, Sabine Egerer, John Lowengrub +1
We present a new diffuse interface model for the dynamics of inextensible vesicles in a viscous fluid. A new feature of this work is the implementation of the local inextensibility…