3 papers
math-ph2021
The evolution equation: an application of groupoids to material evolution
V. M. Jiménez, M. De León
The aim of this paper is to study the evolution of a material point of a body by itself, and not the body as a whole. To do this, we construct a groupoid encoding all the intrinsic…
math-ph2021
Characteristic foliations of material evolution: from remodeling to aging
V. M. Jiménez, M. de León y M. Esptein
For any body-time manifold there exists a groupoid, called material groupoid, encoding all the material properties of the evolution material. A smoo…
math-ph2018
Reduction of a Hamilton-Jacobi equation for nonholonomic systems
Oğul Esen, Manuel de León, Víctor Manuel Jiménez Morales +1
Nonholonomic mechanical systems have been attracting more interest in recent years because of their rich geometric properties and their applications in Engineering. In all generali…