5 citations · 16 across the 7 of their papers we have counts for
8 papers
Classical and relativistic fluids as intermediate integrals of finite dimensional mechanical systems
Ricardo J. Alonso-Blanco
We explore the relationship between mechanical systems describing the motion of a particle with the mechanical systems describing a continuous medium. More specifically, we will st…
A mathematical objection to the existence of relativistic mechanical systems of several particles
Jesús Muñoz-Díaz, Ricardo J. Alonso-Blanco
We will prove that, in general, a system formed by several particles moving along relativistic trajectories can not be described by a mechanical system. The contradiction that lead…
Newton's Second Law in Field Theory
Ricardo J. Alonso-Blanco, Jesús Muñoz-Díaz
In this article we present a natural generalization of Newton's Second Law valid in field theory, i.e., when the parameterized curves are replaced by parameterized submanifolds of…
Primary spectrum of and jets theory
Ricardo J. Alonso-Blanco, Jesús Muñoz-Díaz
We consider, for each smooth manifold , the set comprised by all the primary ideals of which are closed and whose radical is maximal. The cl…
On the foundation of Mechanics
Ricardo J. Alonso-Blanco, Jesús Muñoz-Díaz
This note is an extended version of "A note on the foundations of Mechanics", arXiv: 1404.1321 [math-ph]. A presentation of its contents was given in a talk in memorial homage to t…
A note on the foundations of mechanics
Ricardo J. Alonso-Blanco, Jesús Muñoz-Díaz
This short note is intended to review the foundations of mechanics, trying to present them with the greatest mathematical and conceptual clarity. It was attempted to remove most of…
Klein-Gordon equation from Maxwell-Lorentz dynamics
Ricardo J. Alonso-Blanco
We consider Maxwell-Lorentz dynamics: that is to say, Newton's law under the action of a Lorentz's force which obeys the Maxwell equations. A natural class of solutions are those g…
Contact geometry of multidimensional Monge-Ampère equations: characteristics, intermediate integrals and solutions
Dmitri Alekseevsky, Ricardo Alonso-Blanco, Gianni Manno +1
We study the geometry of multidimensional scalar order PDEs (i.e. PDEs with independent variables) with one unknown function, viewed as hypersurfaces in…