Probabilistic Perspectives in Nonlinear PDEs

Home > Workshops > 2017 > Probabilistic Perspectives in Nonlinear PDEs

Probabilistic Perspectives in Nonlinear PDEs

 05 - 09 Jun 2017

ICMS, 15 South College Street Edinburgh

Scientific Organiser

  • Susan Friedlander, University of Southern California
  • Nathan Glatt-Holtz, Tulane University
  • Tadahiro Oh, University of Edinburgh
  • Oana Pocovnicu, Heriot-Watt University
  • Geordie Richards, Utah State University


In recent decades there has been significant progress in the analysis of deterministic and stochastic partial differential equations (PDEs) through the usage and development of probabilistic methods and tools. In particular, exciting developments for dispersive equations and the equations of fluid mechanics have emerged through the connection with probability theory. Despite these developments, many important questions of dynamical significance remain unsolved in the analysis of PDEs. This workshop brought together experts in probability, PDEs and stochastic analysis. A significant aim of this workshop was to provide an opportunity to increase involvement between UK mathematicians, in particular, researchers at early stages.

Photographs are available here.


Nikolay Tzvetkov, University of Cergy-Pontoise - Quasi-Invariant Gaussian Measures for the 2d Cubic Defocusing Wave Equation

Peter Constantin, Princeton University - Remarks on High Reynolds Number Hydrodynamics

Franco Flandoli, Università di Pisa - Regularization by Noise of PDEs in Fluid Mechanics

Alexandre Boritchev, Université Lyon 1 - Turbulence and Sharp Estimates for Solutions of the Burgers Equation in 1d, Multi-d and with a Fractional Dissipation

Nobu Kishimoto, Kyoto University - Remark on Global Regularity for the Rotating Navier-Stokes Equations in a Periodic Domain

Hendrik Weber, University of Warwick - Ergodicity for Parabolic $Phi^4_d$ Dynamics

Scott McKinley, Tulane University - Anomalous Diffusion in Thermally Fluctuating Viscoelastic Fluids

Nikolay Tzvetkov, University of Cergy-Pontoise - Quasi-Invariant Gaussian Measures for the 2d cubic Defocusing Wave

Herbert Koch, Universität Bonn - Renormalization of 2 Dimensional Nonlinear Stochastic Wave Equations

Philippe Sosoe, Harvard University - Some Results on Gibbs-Type Measures

Yuzhao Wang, University of Edinburgh - Invariance of White Noise for the Cubic Fourth Order Nonlinear Schrödinger Equation

Nikolay Tzvetkov, University of Cergy-Pontoise - Quasi-Invariant Gaussian Measures for the 4th Order NLS Under Sharp Regularity Assumption

Arnaud Debussche, École Normale Supérieure de Rennes - Kolmogorov Equations and Weak Order Analysis for SPDEs with Nonlinear Diffusion Coefficient

Jonathan Mattingly, Duke University - Long Time Behaviour of Stochastic PDE

Ivan Corwin, Columbia University - Fluctuations of Interacting Particle Systems

Anne de Bouard, CNRS and Ecole Polytechnique - Long Time Behavior of the Gross Pitaevskii Equation at Positive Temperature

Martina Hofmanova, Technical University Berlin - Stationary Solutions to the Stochastic Compressible Navier-Stokes System

Vincent Ryan Martinez, Tulane University - Asymptotic Enslavement in Hydrodynamic Equations and Applications to Dynamics and Data Assimilation

Leonardo Tolomeo, University of Edinburgh - Global Well-Posedness of the Two-Dimensional Cubic Stochastic Nonlinear Wave Equation

David Herzog, Iowa State University - Scalings and Saturation in Infinite-Dimensional Control Problems with Applications to Stochastic Partial Differential Equations

Roger Temam, Indiana University - Positive Solutions of Stochastic Partial Differential Equations, and Applications to the Shigesada-Kawasaki-Teramoto Equations with White Noise

Gideon Simpson, Drexel University - Gaussian Approximations in Hilbert Spaces

Juraj Foldes, University of Virginia - Statistical Solutions of Euler Equation

Sergei Kuksin, Université Paris - Controllability, Mixing and the Nash-Moser Scheme for SPDEs

Ivan Corwin, Columbia University - SPDE limits of Interacting Particle Systems