D
Daniel Peralta-Salas
Researcher at Spanish National Research Council
Publications - 145
Citations - 1666
Daniel Peralta-Salas is an academic researcher from Spanish National Research Council. The author has contributed to research in topics: Euler equations & Eigenfunction. The author has an hindex of 18, co-authored 131 publications receiving 1331 citations. Previous affiliations of Daniel Peralta-Salas include Charles III University of Madrid & Complutense University of Madrid.
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Tying knots in light fields
TL;DR: This work constructs analytically, a new family of null solutions to Maxwell's equations in free space whose field lines encode all torus knots and links, and examines the geometry and evolution of the solutions, making manifest the structure of nested knotted tori filled by the field lines.
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Knots and links in steady solutions of the Euler equation
TL;DR: In this article, it was shown that there exists a smooth dieomorphism that transforms a locally finite link into a set of stream lines of a vector flow that solves the Euler equation in R 3.
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Existence of knotted vortex tubes in steady Euler flows
TL;DR: In this article, the existence of knotted and linked thin vortex tubes for steady solutions to the incompressible Euler equation was proved, given a finite collection of (possibly linked and knotted) disjoint thin tubes.
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Can two chaotic systems give rise to order
TL;DR: In this paper, it was shown that the periodic mixing of two chaotic dynamics originates an ordered dynamics in certain cases, which is a Parrondo paradoxical phenomenon: "chaos+chaos=order".
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Helicity is the only integral invariant of volume-preserving transformations.
TL;DR: It is proved that any regular integral invariant of volume-preserving transformations is equivalent to the helicity, and given a functional ℐ defined on exact divergence-free vector fields of class C1 on a compact 3-manifold that is associated with a well-behaved integral kernel, it is proven thatℐ is invariant under arbitrary volume- Preserving diffeomorphisms if and only if it is a function of the helicITY.