School "Around Vortices: from Continuum to Quantum Mechanics"

The School "Around Vortices" will be held at the National Institute of Pure and Applied Mathematics (IMPA) in Rio de Janeiro, Brazil, from March 12 to March 21, 2014. It school is the opening event of a Thematic Program on Incompressible Fluid Dynamics at IMPA from March through June 2014.

The main topic is vortices in fluids, from classical Newtonian fluids, to complex fluids, to superfluids, and in superconductors. The purpose of the school is to introduce young researchers and researchers in other areas to the different aspects of vortex dynamics in fluids and superfluids and superconductors, by bringing together experts in the various fields of continuum and quantum mechanics.

School Topics:

  1. Vortex dynamics in 2D and 3D incompressible fluid flows: point vortices, vortex blob approximation, vortex sheets and vortex rings, vortex tubes and reconnections, long-time vortex evolutions, blow-up for solutions of the Euler equations.

  2. Complex fluids: vortices and elastic stretching, elastic turbulence, applications to biology.

  3. Ginzburg-Landau theory of superfluidity and superconductivity: Ginzurg-Landau energy functionals, minimizers, degree boundary conditions, vortex pinning.





March 12, 2014

Evelyne Miot - Download
Jon Chapman - Download

March 13, 2014

Evelyne Miot - Download
Jon Chapman - Download

March 14, 2014

Evelyne Miot - Download
Jon Chapman - Download



March 17, 2014

Jon Chapman - Download
Maicon Benvenutti - Download
Lia Bronsard - Download

André Nachbin - Download
Valerii Vinokur - Download
Dragos Iftimie - Download

Opening Ceremony - Download


March 18, 2014

Russ Caflisch - Download
Stefanella Boatto - Download
Lia Bronsard - Download

Tiziana Giorgi - Download
David Dritschel - Download
Leonid Berlyand - Download
Evelyne Miot - Download

March 19, 2014

Lia Bronsard - Download
Fabrice Bethuel - Download
Gene Wayne - Download

March 20, 2014

Dan Spirn - Download
Eleonora Moura - Download
Gene Wayne - Download

Oleksandr Iaroshenko - Download
Matthew Mizuhara - Download
Qingtian Zhang - Download

Milton Lopes Filho - Download
Étienne Sandier - Download
Monika Nitsche - Download

March 21, 2014

Paolo Antonelli - Download
Paul Krauze - Download
Gene Wayne - Download

Evelyn Lunasin - Download
Thierry Gallay - Download