3 papers
math.AP2025
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…
math.AP2024
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…
math.AP2024
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…