Top Menu

Geometrical Aspects of Hydrodynamics: May 19 – 23, 2014

Application for workshop is now closed.

Organized by Krzysztof Gawedzki, Boris Khesin, and Paul Wiegmann

Dates: May 19 – 23, 2014

Attendee List Download Talk ScheduleView Videos

Geometric and group-theoretic methods lie at the foundation of modern studies in hydrodynamics.  Recent applications of fluid dynamics require understanding of fundamental  symmetries of fluids and infinite-dimensional groups featured by hydrodynamical equations. The geometric and topological hydrodynamics is a developing branch of mathematics that reaches across traditional disciplines of hydrodynamical stability theory, Riemannian and symplectic geometry, magnetohydrodynamics, theory of Lie algebras and Lie groups, knot theory, and dynamical systems and algebraic structures in the solition theory. With a limitation of analytical methods in hydrodynamics, geometric and group-theoretical methods became among the most important for the studies of topological features of flows with complex trajectories and for stability analysis in plasma physics, geophysics, magnetohydrodynamics, and atmospheric physics. Among objects of geometrical and topological hydrodynamics there are topological classification of steady fluid flows, formulation of compressible and incompressible hydrodynamics of various fluids as geodesic flows, geometrical aspects of anomalous terms in hydrodynamics and and their quantum origin, applications to hydrodynamics of quantum fluids.

This workshop is a part of the Spring 2014 program, Quantum Anomalies, Topology, and Hydrodynamics, which is organized by Alexander Abanov, Dmitri Kharzeev, Boris Khesin, Dam Son, and Paul Wiegmann. This program takes place from February 17 – June 13, 2014.

All workshop talks and discussion periods will be held in the Simons Center Lecture Hall (Room 102).

There is an optional art event for workshop participants on Tuesday, May 20th. The ‘Stitches’ Exhibition event will start at 5:30pm with a reception, followed by a lecture by Artist Daina Taimina at 6:00pm.

Geometrical Aspects of Hydrodynamics Workshop Schedule

Time Title Presenters  Video
 8:00am Breakfast/registration begins (8:00am – 9:00am) SCGP Lobby and Cafe
 9:00am Compression of continuum models of ideal 3D fluids into a combinatorial framework Dennis Sullivan video
10:00am Coffee Break SCGP Cafe
10:30am Vortex reconnection and associated destruction of helicity Keith Moffatt video
slides
11:30am Short break
11:45am Group Theory and Hydrodynamics: Formalism, Gauge Fields and Anomalies V. Parameswaran Nair video
slides
12:45pm Lunch SCGP Cafe
 2:15pm Weakly non-linear  resonant hamiltonian PDEs  and the problem of wave turbulence Sergei Kuksin video
slides
 3:30pm Tea Time SCGP Lobby
 4:00pm On the Hamiltonian description of relativistic hydrodynamics with quantum anomalies Alexander Abanov video
slides


Time Title Presenters  Video
 8:00am Breakfast begins (8:00am – 9:00am) SCGP Cafe
 9:00am A 2+1 dimensional anomalous superfluid hydrodynamics Dam Son video
10:00am Coffee Break SCGP Cafe
10:30am Geometry of the Hunter-Saxton system Jonatan Lenells video
11:30am Lunch SCGP Cafe
 1:00pm Topology of moduli spaces of algebraic curves and integrable PDEs (Joint workshop/SCGP weekly talk) Boris Dubrovin video
 2:30pm Phase space fluids and the droplet bosonization method Alexios Polychronakos video
slides
 3:30pm Tea Time SCGP Lobby  
 5:30pm ‘Stitches’ Exhibition Lecture by Artist Daina Taimina (optional event for workshop participants) SCGP Lobby and SCGP 103  

Time Title Presenters  Video
 8:00am Breakfast begins (8:00am – 9:00am) SCGP Cafe
 9:00am Dynamics of Peakons, Jetlets and G-strands (PDF abstract) Darryl Holm video
slides
10:00am Coffee Break SCGP Cafe
10:30am Various aspects of 2+1 dimensional (super)fluid flows Piotr Surowka video
slides
11:30am Short break
11:45am KAM theory and the 3D Euler equation Daniel Peralta-Salas video
12:45pm Lunch SCGP Cafe  
 2:15pm Anomalous hydrodynamics of vortex flow Paul Wiegmann video
slides
 3:30pm Tea Time SCGP Lobby
 4:00pm Analytical structures of the Euler equations Alexander Shnirelman video
 6:00pm Workshop Banquet:  Available to all funded participants, funded locals, and registered program visitors. SCGP Cafe

Time Title Presenters  Video
 8:00am Breakfast begins (8:00am – 9:00am) SCGP Cafe
 9:00am On multi-point correlations and symmetries in turbulence Gregory Falkovich video
slides
10:00am Coffee Break SCGP Cafe
10:30am Examples of ill-posedness for Euler and Navier-Stokes equations Gerard Misiolek video
11:30am Short break
11:45am Fate of inverse cascade in hyperbolic-plane turbulence Krzysztof Gawedzki video
slides
12:45pm Lunch SCGP Cafe
 2:15pm Methods of integrable systems for vortex filament flow Annalisa Calini video
slides
 3:30pm Tea Time SCGP Lobby
 4:00pm Shallow water waves with asymptotic conditions at infinity Peter Topalov video

Time Title Presenters  Video
 8:00am Breakfast begins (8:00am – 9:00am) SCGP Cafe
 9:00am Approximating Euler’s equation on the full diffeomorphism group, and soliton-like solutions Peter Michor video
slides
10:00am Coffee Break SCGP Cafe
10:30am Spontaneous Stochasticity and Dissipation Anomalies in Fluid Turbulence Gregory Eyink video
slides
11:30am Short break
11:45am Weil-Petersson geometry of the universal Teichmuller space Leon Takhtajan video
slides
12:45pm Lunch SCGP Cafe
1:45pm Onsager: Life and Science Gregory Eyink video
 3:30pm Tea Time SCGP Lobby

FOR WEBSITESCGP_ GIOMETRICAL_11x17 FR