Resolució Barcelona Dynamical System Prize 2015

Guanyadors

Existence of knotted vortex tubes in steady Euler flows

Alberto Enciso and Daniel Peralta-Salas

Oscillatory motions for the restricted planar circular three body problem

Marcel Guardia, Pau Martin and Tere M. Seara

Guanyadors

Existence of knotted vortex tubes in steady Euler flows

Alberto Enciso and Daniel Peralta-Salas

Oscillatory motions for the restricted planar circular three body problem

Marcel Guardia, Pau Martin and Tere M. Seara

Període

treballs fins el 31 de gener de 2015

Entrega de premis

Data
octubre de 2015

Lloc
Institut d’Estudis Catalans

Lloc
Institut d’Estudis Catalans

Resolució del premi Barcelona Dynamical Systems 2015 sota el mecenatge del professor Carles Simó i Torres

In the paper by Alberto Enciso and Daniel Peralta-Sala, the authors construct for any given knot or link type, a particular type of static solution to the inviscid Euler equation on Euclidean 3-space (a “Beltrami flow”) which has among its integral curves one which realizes this knot or link type. As a result, they get a single flow which contains all knot types, which is a special form of Lord Kelvin’s conjecture.

In the paper by Marcel Guardia, Pau Martín and Tere M. Seara, the authors prove the existence of oscillatory solutions in the restricted planar circular 3 body problem for any value of the mass ratio of the primaries, which had been open since Chazy’s 1920s work pointed out oscillatory motion as one possible final behavior of the N-body motion.

Enllaç a la resolució.

Comité

Henk Broer
University of Groningen

Richard Montgomery
University of California, Santa Cruz

Robert L. Devaney
Boston University

Marcelo Viana
IMPA

Yu.S. Ilyashenko
Cornell University

Amadeu Delshams
UPC, Secretari del jurat sense vot