97 citations · 112 across the 9 of their papers we have counts for
3 papers · 2 filters
On singular behaviour in a plane linear elastostatics problem
Heiko Gimperlein, Michael Grinfeld, Robin J. Knops +1
A vector field similar to those separately introduced by Artstein and Dafermos is constructed from the tangent to a monotone increasing one-parameter family of non-concentric circl…
The Least Action Admissibility Principle
Heiko Gimperlein, Michael Grinfeld, Robin J. Knops +1
This paper provides a new admissibility criterion for choosing physically relevant weak solutions of the equations of Lagrangian and continuum mechanics when non-uniqueness of solu…
Existence and uniqueness for a coupled parabolic-hyperbolic model of MEMS
Heiko Gimperlein, Runan He, Andrew A. Lacey
Local well-posedness for a nonlinear parabolic-hyperbolic coupled system modelling Micro-Electro-Mechanical System (MEMS) is studied. The particular device considered is a simple c…