Zobrazeno 1 - 10
of 508
pro vyhledávání: '"De León, M. A."'
Autor:
Jiménez, V. M., De León, M.
In this paper, we study internal properties of a Cosserat media. In fact, by using groupoids and smooth distributions, we obtain a three canonical equations. The \textit{non-holonomic material equation for Cosserat media} characterizes the uniformity
Externí odkaz:
http://arxiv.org/abs/2305.14261
Autor:
Jiménez, V. M., de León, M.
In this paper we present an application of the groupoid theory to the study of relevant case of material evolution phenomena, the \textit{process of morphogenesis}. Our theory is inspired by Walter Noll's theories of continuous distributions and prov
Externí odkaz:
http://arxiv.org/abs/2207.03252
In this survey, we review the classical Hamilton Jacobi theory from a geometric point of view in different geometric backgrounds. We propose a Hamilton Jacobi equation for different geometric structures attending to one particular characterization: w
Externí odkaz:
http://arxiv.org/abs/2202.06896
Autor:
Jiménez, V. M., De León, M.
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 properties of the particle and its characteristic foliations, which p
Externí odkaz:
http://arxiv.org/abs/2108.06766
In this paper, we present a generalization of a Hamilton--Jacobi theory to higher order implicit differential equations. We propose two different backgrounds to deal with higher order implicit Lagrangian theories: the Ostrogradsky approach and the Sc
Externí odkaz:
http://arxiv.org/abs/1901.10308
Marine debris ingestion by odontocete species from the Southwest Atlantic Ocean: Absence also matter
Autor:
Padula, Antonella Daira, Machado, Rodrigo, Milmann, Lucas, de León, M. Carolina, Gana, Joaquín C.M., Wickert, Janaína C., Argañaraz, María Eugenia, Bastida, Ricardo O., Rodríguez, Diego H., Denuncio, Pablo E.
Publikováno v:
In Marine Pollution Bulletin January 2023 186
A groupoid $\Omega \left( \mathcal{B} \right)$ called material groupoid is naturally associated to any simple body $\mathcal{B}$. The material distribution is introduced due to the (possible) lack of differentiability of the material groupoid. Thus,
Externí odkaz:
http://arxiv.org/abs/1812.04970
Associated to each material body $\mathcal{B}$ there exists a groupoid $\Omega \left( \mathcal{B} \right)$ consisting of all the material isomorphisms connecting the points of $\mathcal{B}$. The uniformity character of $\mathcal{B}$ is reflected in t
Externí odkaz:
http://arxiv.org/abs/1711.09022
In this paper, we propose a geometric Hamilton-Jacobi theory for systems of implicit differential equations. In particular, we are interested in implicit Hamiltonian systems, described in terms of Lagrangian submanifolds of $TT^*Q$ generated by Morse
Externí odkaz:
http://arxiv.org/abs/1708.01586
A Lie groupoid, called \textit{second-order non-holonomic material Lie groupoid}, is associated in a natural way to any Cosserat media. This groupoid is used to give a new definition of homogeneity which does not depend on a reference crystal. The co
Externí odkaz:
http://arxiv.org/abs/1708.00337