55 citations · 251 across the 19 of their papers we have counts for
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Scalar Truesdell Time Derivative and -- Surface Gradient Flows
Rainer Backofen, Ingo Nitschke, Axel Voigt
We address surface gradient flows which allow for energy dissipation by evolving the surface and a scalar quantity on it, simultaneously. A proper choice of the time derivative and…
Beris-Edwards Models on Evolving Surfaces: A Lagrange-D'Alembert Approach
Ingo Nitschke, Axel Voigt
Using the Lagrange-D'Alembert principle we develop thermodynamically consistent surface Beris-Edwards models. These models couple viscous inextensible surface flow with a Landau-de…
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…
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…