2024 National PDE Network Meeting: Nonlinear PDEs of Mixed Type in Geometry and Mechanics / 13th Oxbridge PDE Conference
Monday 18 - Friday 22 March 2024
Lecture Room L2, Andrew Wiles Building, Oxford
Theme: Analysis of Nonlinear PDEs of Mixed-Type (esp. Elliptic-Hyperbolic and Hyperbolic-Parabolic Mixed PDEs) and Related Topics
This national UK PDE Network event (18 - 21 March 2024) for UK network members focuses on the Analysis of Nonlinear PDEs of Mixed-Type (esp. Elliptic-Hyperbolic and Hyperbolic-Parabolic Mixed PDEs) and related topics in Geometry and Mechanics. There will be a programme of research talks, but also plenty of time to network.
There will be two days of talks of interest to everybody in the UK National PDE network (linked to the theme of the meeting), as well as two short courses pitched to PhD students and young researchers, and we expect that the vast majority of members will attend this part. This will be followed by a somewhat more specialised programme for people with a specific interest in the topic. We are planning to have a joint one-day programme on Thursday 21 March, joining forces with OxPDE centre members, and Cambridge PDE group members for the 13th Oxbridge PDE Conference (March 21-22 2024).
View the programme and abstracts
Conference Schedule
12:30-13:00 Coffee North Mezzanine
13:15-13:25: Open Remarks
13:30-14:10: Monica Musso (University of Bath) Leapfrogging of Vortex Rings for Incompressible Euler Equations
14:15-14:55: Short-Course I-1 Dehua Wang (University of Pittsburgh) Euler Equations and Mixed-Type Problems in Gas Dynamics and Geometry Euler Equations and Mixed-Type Problems in Gas Dynamics and Geometry WANG_Oxford2024_0.pdf
15:00-15:30: Break North Mezzanine
15:30-16:10: Elaine Crooks (University of Swansea) Travelling Waves and Minimality Exchange in Smectic C* Liquid Crystals
16:15-16:55: Short Course II-1 Paolo Secchi (University of Brescia) Characteristic Boundary Value Problems and Magneto-Hydrodynamics Characteristic Boundary Problems and Magneto-HydrodynamicsSECCHI-part 1_1.pdf
17:00: End of the First-Day Programme
8:30am: Coffee South Mezzanine
9:00-9:40: Matthew Schrecker University of Bath Gravitational Landau Damping
9:45-10:25: Short Course I-2 Dehua Wang University of Pittsburgh Euler Equations and Mixed-Type Problems in Gas Dynamics and Geometry Euler Equations and Mixed-Type Problems in Gas Dynamics and Geometry WANG_Oxford2024_1.pdf
10:30-10:50: Break South Mezzanine
10:50-11:30: Mikhail Feldman University of Wisconsin Nonlinear Equations of Mixed Type in Two-dimensional Riemann Problems Involving Transonic Shocks
11:35-12:15: Short Course II-2 Paolo Secchi University of Brescia Characteristic Boundary Value Problems and Magneto-Hydrodynamics Characteristic Boundary Problems and Magneto-Hydrodynamics SECCHI-part 2_0.pdf
12:20-13:30: Lunch Break
13:30-14:10: Myoungjean Bae Korea Advanced Institute of Science and Technology Two Types of Sonic Interfaces
14:15-14:55: Short-Course I-3 Dehua Wang University of Pittsburgh Euler Equations and Mixed-Type Problems in Gas Dynamics and Geometry Euler Equations and Mixed-Type Problems in Gas Dynamics and Geometry WANG_Oxford2024_2.pdf
15:00-15:30: Break South Mezzanine
15:30-16:10: Wei Xiang City University Hong Kong Normal Shock with Large Swirl Velocity in a Finite Cylinder
16:15-16:55: Short Course II-3 Paolo Secchi University of Brescia Characteristic Boundary Value Problems and Magneto-Hydrodynamics Characteristic Boundary Problems and Magneto-Hydrodynamics SECCHI-part 3_0.pdf
17:00: End of the Second-Day Programme
8:30am Coffee North Mezzanine
9:00-9:40: Siran Li Shanghai Jiaotong University: The Isometric Immersions Problem: From Perspectives of PDE, Geometry, and Physics
9:45-10:25: Josephine Evans University of Warwick Title: Non-equilibrium Steady States in a BGK Model for Dilute Gases
10:30-10:50: Break North Mezzanine
10:50-11:30: Jan Sbierski University of Edinburgh The Interior of Black Holes: Instability and Inextendibility
11:35-12:15: Qing Han University of Notre Dame The Isometric Immersion of Surfaces with Finite Total Curvature
12:20-13:30: Lunch Break
13:30-14:10: Kari Astala University of Helsinki The Burkholder Functional in Elliptic PDEs and Non-linear Elasticity
14:15-14:55: Ali Taheri University of Sussex Gradient Estimates on the Witten Laplacian, Curvature Conditions and Liouville Theorems on Smooth Metric Measure Spaces
15:00-15:30: Break North Mezzanine
15:30-16:10: Laura Kanzler CEREMADE, University Paris Dauphine Title: Quantitative Fluid Approximation for Heavy Tailed Kinetic Equations with Several Invariants
16:15-16:55: Paul Minter University of Princeton Stable Minimal Hypersurfaces in R^5
17:00 End of the Third-Day Programme
10:30am Coffee South Mezzanine
10:50-11:00: Open Remarks
11:00-11:40: Pierre Germain University College London Asymptotic Stability of Solitons in 1D Dispersive Problems
11:45-12:15: Vanessa Ryborz University of Oxford On the Equivalence of Distributional and Synthetic Ricci Curvature Lower Bounds
12:20-13:30: Lunch Break
13:30-14:10: Costante Bellettini University College London Analysis of Stable Minimal Hypersurfaces: Curvature Estimates and Sheeting
14:15-14:55 Robert J. McCann University of Toronto Lipschitz Free Boundaries in the Monopolist's Problem
15:00-15:30 Break South Mezzanine
15:30-16:10: Xavier Ros Oton ICREA University of Barcelona The Singular Set in the Stefan Problem
16:15 - 16:45 Istvan Kadar University of Cambridge A Scattering Theory Construction of Dynamical Solitons
16:50- 17:30: Jason Lotay University of Oxford Translators in Lagrangian Mean Curvature Flow
17:35: End of the Joint Programme
8:30am Coffee South Mezzanine
9:00-9:40: Grigalius Taujanskas University of Cambridge Low Regularity Wave Maps on the Einstein Cylinder via Peter-Weyl Theory
9:45-10:15: Dominic Wynter University of Cambridge Shock Profiles for the Non-Cutoff Boltzmann Equation
10:20-10:50: Samuel Charles University of Oxford Global Solutions of the Compressible Euler-Riesz Equations with Large Spherical Initial Data
10:55-11:20: Break South Mezzanine
11:20-12:00: Andrea Mondino University of Oxford A Sharp Isoperimetric-type Inequality for Lorentzian Spaces Satisfying Time-like Ricci Lower Bounds
12:05-12:45: Neshan Wickramasekera University of Cambridge Analysis of Singularities of Area Minimising Currents
12:50-13:00: Remarks
13:00: End of the Conferences
Organisers:
Prof. Gui-Qiang G. Chen University of Oxford
Jan Kristensen University of Oxford
Andrea Mondino University of Oxford
Prof. Clément Mouhot University of Cambridge
Prof. Neshan Wickramasekera University of Cambridge
Administrators:
Helen Stringer University of Oxford
Ariana Weldon University of Oxford
The organisers gratefully acknowledge the generous support of the London Mathematical Society and of EPSRC grants "Generalised and low-regularity solutions of nonlinear PDEs" EPSRC EP/V008854/1 and " DMS-EPSRC: Stability Analysis for Nonlinear Partial Differential Equations across Multiscale Applications" EPSRC-NSF EP/V051121/1