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Peter Clarkson, University of Kent
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Darren Crowdy, Imperial College London
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Thanasis Fokas, University of Cambridge
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Robb McDonald, University College London
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Beatrice Pelloni, Heriot-Watt University
About:
The following challenges were addressed:
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Shape evolution in interface dynamics
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Shape emergence in the Painlevé equations
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Special function theory and asymptotics
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Spectral analysis, transforms and medical imaging
Speakers
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Stefan Llewellyn Smith, University of California - Solving Matrix Wiener-Hopf Problems Numerically via Riemann-Hilbert Problems
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Anastasia Kisil, University of Cambridge - Approximate Matrix Wiener-Hopf Factorisations and Applications to Problems in Acoustics
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Alex Himonas, University of Notre Dame - The Unified Transform Method and Well-Posedness of Nonlinear Dispersive Equations
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Elena Louca, University of California - A New Transform Approach to Biharmonic Boundary Value Problems in Polygonal and Circular Domains
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Rhodri Nelson, Imperial College London - Outer Boundary Effects in a Petroleum Reservoir
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Kostas Kalimeris, RICAM - A Non-Local Formulation for Two-Dimensional Water Waves
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Rod Halburd, University College London - Integrable Delay-Differential Equations
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Ana Loureiro, University of Kent - On Star-Symmetric Polynomials with Classical Behaviour
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Claire Gilson, University of Glasgow - Constructing and Deconstructing Solutions in Ultra Discrete Integrable Systems
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Sara Lombardo, Northumbria University - Linear Stability Analysis of Integrable Partial Differential Equations
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Elizabeth Mansfield, University of Kent - Discrete Moving Frames and Discrete Variational Problems
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Adri Olde Daalhuis, University of Edinburgh - Computation of the Coefficients Appearing in the Uniform Asymptotic Expansions of Integrals
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Alfredo Deaño, University of Kent - Special Function Solutions of Painleve II and Painleve IV
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David Gómez-Ullate Oteiza, ICMAT and Universidad Complutense Madrid - Durfee Rectangles, Exceptional Hermite Polynomials and Rational Solutions to Painleve Equations
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Peter Olver, University of Minnesota - Dispersive Quantization of Linear and Nonlinear Qaves
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Olga Trichtchenko, ICERM, Brown University - Solutions and Stability for Fexural-Gravity Waves
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Chris Howls, University of Southampton - Invisible Catastrophes: When to Turn an Asymptotic Blind Eye
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Mark Mineev-Weinstein, UFPE - Thermodynamics of the Laplacian Growth
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Tamara Grava, SISSA - Universality of Critical Behaviour in Hamiltonian PDEs
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Folkmar Bornemann, Technische Universität München - Numerical Problems Inspired by Discrete Complex Analysis
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Anthony Davis, University of California - Non Existence of Further Closed Form 2-D Sloshing Modes in a Symmetric Triangular Basin
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Michael Dallaston, Imperial College London - Asymptotic Selection of Self-Similar Rupture Solutions to a Generalised Thin Film Equation
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Iasonas Hitzazis, Imperial College London - Linear Elliptic PDEs in a Cylindrical Domain with a Polygonal Cross-Section
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Gergő Nemes, University of Edinburgh - Computable Error Bounds for Asymptotic Expansions of Integrals via Resurgence
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Edward Johnson, University College London - Rotating Vortical Outflows
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Bartosz Protas, McMaster University - On the Stability of Free-Boundary Problems
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David Smith, Yale-NUS College - Nonlocal Problems for Linear Evolution Equations
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John King, University of Nottingham - Complex-Plane Analysis of Diffusive Travelling Waves
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Mark Blyth, University of East Anglia - Deformation of an Elastic Cell Under Inviscid Flow
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Linda Cummings, New Jersey Institute of Technology - Slow Viscous Flows in Doubly Connected Domains