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Workshop

New challenges in PDE: Deterministic dynamics and randomness in high and infinite dimensional systems October 19, 2015 - October 30, 2015
Registration Deadline: November 06, 2015 9 months ago
To apply for Funding you must register by: July 19, 2015 about 1 year ago
Parent Program: New Challenges in PDE: Deterministic Dynamics and Randomness in High and Infinite Dimensional Systems
Location: MSRI: Simons Auditorium, Atrium
Organizers Jonathan Mattingly (Duke University), LEAD Andrea Nahmod (University of Massachusetts, Amherst), Pierre Raphael (Université Nice Sophia-Antipolis), Luc Rey-Bellet (University of Massachusetts, Amherst), Daniel Tataru (University of California, Berkeley)
Speaker(s)

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Description

This workshop serves to bring into focus the fundamental aim of the jumbo program by both a)  showcasing the spectacular progress in recent years in the study of both nonlinear dispersive as well as stochastic partial differential equations and b) bringing to the fore the key challenges for the future in quantitatively analyzing the dynamics of solutions arising from the flows generated by deterministic and non-deterministic evolution differential equations, or dynamical evolution of large physical systems.  

During the two weeks long workshop, we intertwine talks on a wide array of topics by some of the key researchers in both communities and aim at highlighting the most salient ideas, proofs and questions which are important and fertile for `cross-pollination’ between PDE and SPDE. Topics include:  Global dynamics and singularity formation for geometric and physical nonlinear wave and dispersive models (critical and supercritical regimes); dynamics of infinite dimensional systems (critical phenomena, multi scale dynamics and metastability); symplectic structures of infinite dimensional dynamical systems; randomization and long time dynamics, invariant Gibbs and weighted Wiener measures; derivation of effective dynamics in quantum systems; weak turbulence phenomena; optimization and learning algorithms: distributed, stochastic and parallel.

Week 1 Photo:

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Week 2 Photo

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The Organizers of the workshop

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Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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MSRI has preferred rates at the Rose Garden Inn, depending on room availability. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on "Promo/Corporate Code" at the top of the page. When prompted, select the "Promo/Corporate Code" option and enter the code MATH (this code is not case sensitive). By using this code, a new calendar will appear an will show the MSRI rate on all room types available. Click the gold "View Full Calendar" button to see the lowest rate for each day.

MSRI has preferred rates at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link. Click on "Promo/Corporate Code" at the top of the page. When prompted, select the "Promo/Corporate Code" option and enter the code 123MSRI (this code is not case sensitive). Our lowest preferred rate is $139 per night for a Deluxe Queen, based on availability.

MSRI has a preferred rate of $174 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount. To book online visit this page. You must select "My dates are: Firm" in order to use the promotional code. Click on "Promo/Corporate Code" at the top of the page. When prompted, select the "Promo/Corporate Code" option and enter the code MSRI (this code is not case sensitive).

MSRI has preferred rates of $130 - $160 at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select “I am an individual traveler affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI.” When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rate of $71 or $83 at the Easton Hall, depending on whether the room has a private bathroom. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page. Easton Hall select "Request a Reservation" pick the dates you would like to stay, once you are ready to reserve use the Promotional Code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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Schedule
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Oct 19, 2015
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Wave turbulence for the cubic Szegö equation and beyond
Patrick Gerard (Université de Paris XI)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Diffusive limits for stochastic kinetic equtions
Arnaud Debussche (Ecole Normale Supérieure de Rennes)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Symplectic non-squeezing for the cubic NLS on R^2
Monica Visan (University of California, Los Angeles)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Optimal Regularity for some Parabolic SPDEs
Davar Khoshnevisan (University of Utah)
Oct 20, 2015
Tuesday
09:30 AM - 10:30 AM
  An Applied Math Perspective on Climate Science, Turbulence, and Other Complex Systems
Andrew Majda (New York University, Courant Institute)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Generalized Smoluchowski Equations and Scalar Conservation Laws
Fraydoun Rezakhanlou (University of California, Berkeley)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  The Talbot effect and the evolution of Vortex Filaments
Luis Vega (Universidad del País Vasco/Euskal Herriko Unibertsitatea)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  KP-II in 2 and 3d
Herbert Koch (Rheinische Friedrich-Wilhelms-Universität Bonn)
04:30 PM - 06:20 PM
  Reception
Oct 21, 2015
Wednesday
09:30 AM - 10:30 AM
  The Kardar-Parisi-Zhang equation and universality class
Jeremy Quastel (University of Toronto)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  On two-dimensional gravity water waves with angled crests
Sijue Wu (University of Michigan)
Oct 22, 2015
Thursday
09:30 AM - 10:30 AM
  Exotic blow up rates for some critical nonlinear dispersive equations
Yvan Martel (École Polytechnique)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Toward a smooth ergodic theory for infinite dimensional systems
Lai-Sang Young (New York University, Courant Institute)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Invariant measures and the soliton resolution conjecture
Sourav Chatterjee (Stanford University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  The large box limit of nonlinear Schrodinger equations in weakly nonlinear regime
Jalal Shatah (New York University, Courant Institute)
Oct 23, 2015
Friday
09:30 AM - 10:30 AM
  TBA
Martin Hairer (University of Warwick)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Random Versus Deterministic Approach in the Study of Wave and Dispersive Equations
Gigliola Staffilani (Massachusetts Institute of Technology)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Energy distribution and wave turbulence closures for the nonlinear Schrodinger equation
Zaher Hani (Georgia Institute of Technology)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Classical Hamiltonian Systems, Driven out of Equilibrium, a Review
Jean-Pierre Eckmann (University of Geneva)
Oct 26, 2015
Monday
09:30 AM - 10:30 AM
  From particles to linear hydrodynamic equations
Thierry Bodineau (École Polytechnique)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  From particles to linear hydrodynamic equations
Isabelle Gallagher (Institut de Mathematiques de Jussieu)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Global stability of a flat interface for the gravity-capillary water-wave model
Benoit Pausader (Brown University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  On global solutions of water wave models
Alexandru Ionescu (Princeton University)
Oct 27, 2015
Tuesday
09:30 AM - 10:30 AM
  Control of water waves
Thomas Alazard (École Normale Supérieure)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Universality in polytope phase transitions and message passing algorithms
Andrea Montanari (Stanford University)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  The stochastic Landau-Lifshitz equation
Anne de Bouard (École Polytechnique)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  On long term dynamics of nonlinear evolution equations
Wilhelm Schlag (University of Chicago)
04:30 PM - 06:20 PM
  Reception
Oct 28, 2015
Wednesday
09:30 AM - 10:30 AM
  Dispersion for the wave and the Schrödinger equations outside strictly convex domains
Danela Ivanovici (Université Nice Sophia-Antipolis)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  SPDEs on graphs as limit of SPDEs on narrow channels
Sandra Cerrai (University of Maryland)
Oct 29, 2015
Thursday
09:30 AM - 10:30 AM
  Renormalisation in regularity structures
Lorenzo Zambotti (Université de Paris VI (Pierre et Marie Curie))
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Blow-up of the critical norm for supercritical wave equations
Thomas Duyckaerts (Université de Paris XIII (Paris-Nord))
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Second microlocalization and stabilization of damped wave equations on tori
Nicolas Burq (Université de Paris XI)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Data assimilation for high dimensional nonlinear forecasting
David Kelly (New York University, Courant Institute)
Oct 30, 2015
Friday
09:30 AM - 10:30 AM
  Some generic features of dynamics in a high-dimensional rugged landscape
Jorge Kurchan (École Normale Supérieure)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Long wave limit for Schrodinger maps
Pierre Germain (New York University, Courant Institute)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Hitting questions and multiple points for stochastic PDE (SPDE) in the critical case
Carl Mueller (University of Rochester)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  The cubic Dirac equation in $H^\frac12(\R^2)$
Ioan Bejenaru (University of California, San Diego)