6 citations · 14 across the 4 of their papers we have counts for
4 papers
On action rate admissibility criteria
Heiko Gimperlein, Michael Grinfeld, Robin J. Knops +1
We formulate new admissibility criteria for initial value problems motivated by the least action principle. These are applied to a two-dimensional Riemann initial value problem for…
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…
Non-Uniqueness in Plane Fluid Flows
Heiko Gimperlein, Michael Grinfeld, Robin J. Knops +1
Examples of dynamical systems proposed by Z. Artstein and C. M. Dafermos admit non-unique solutions that track a one parameter family of closed circular orbits contiguous at a sing…