Scientific Organiser
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Susan Friedlander, University of Southern California
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Nathan Glatt-Holtz, Tulane University
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Tadahiro Oh, University of Edinburgh
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Oana Pocovnicu, Heriot-Watt University
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Geordie Richards, Utah State University
About:
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.
Speakers
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