2026 National PDE Event: Stability Analysis for Nonlinear Partial Differential Equations across Multiscale Applications / 15th Oxbridge PDE Conference

9:00-9:55: Arrival Refreshments at Pichette Auditorium, Pembroke College

10:00-10:15: Open Remarks

10:20-11:05: Manuel Del Pino (University of Bath) Overhanging Water Waves in Incompressible, Constant Vorticity  Fluids 

11:10-11:55: Min Tang (Shanghai Jiaotong University) Pathway Based Diffusion Model---Modeling and Stability

12:00-12:45: Young-Pil Choi (Yonsei University) Quantified Diffusion Limit for the Vlasov-Fokker-Planck equation 

12:55-13:55: Lunch at Pichette Auditorium, Pembroke College 

14:00-14:45: Matthew Schrecker (University of Bath) Stability of Gravitational Collapse 

14:50-15:35: Amélie Loher (University of Oxford) Decay Estimates for Weak Solutions of the Boltzmann Equation on Bounded Domains 

15:40-16:10: Break at Pichette Auditorium, Pembroke College 

16:15-17:00: Dehua Wang (University of Pittsburgh) Global Weak and Smooth Solutions to the Gauss-Codazzi Equations and Isometric Immersions 

17:00: End of the First-Day Programme

8:30-8:55:  Arrival Refreshments at Pichette Auditorium, Pembroke College

9:00-9:45: Mikhail Feldman (University of Wisconsin-Madison) Vorticity in Shock Reflection Problems and Transport Equations 

9:50-10:35: Amir Sagiv (New Jersey Institute of Technology) Floquet Hamiltonians - Spectrum and Dynamics

10:40-11:10: Break at Pichette Auditorium, Pembroke College 

11:15-12:00: Markus Schmidtchen (University of Dresden) On the Mesa Problem for a Viscoelastic System

12:00-13:00: Lunch at Pichette Auditorium, Pembroke College 

13:05-13:50: Myoungjean Bae (KAIST, South Korea) From Subsonic to Supersonic: Recent Progress on Multidimensional Euler–Poisson Flows and the de Laval Nozzle Problem

13:55-14:40: Difan Yuan (Beijing Normal University) Stability of 3D Isentropic Elastic Vortex Sheets

14:45-15:15: Break at Pichette Auditorium, Pembroke College 

15:20-16:05: Marco Di Francesco (University of L'Aquila) Deterministic Particles and Smoothing Effects  

16:10-16:55: Immanuel Ben-Porath (University of Basel) Propagation of Moments and Regularity for the Magnetized Vlasov-Poisson Equation

17:00: End of the Second-Day Programme

8:30-8:55:  Arrival Refreshments at Pichette Auditorium, Pembroke College

9:00-9:45: Franz Gmeineder (University of Konstanz)  L1-based estimates and spaces: Old and New

9:50-10:25: Dowan Koo (University of Oxford) Exponential and Algebraic Decay in Euler—Alignment System with Nonlocal Interaction Forces

10:30-11:00: Break at Pichette Auditorium, Pembroke College 

11:05-11:50: Jakub Skrzeczkowski (University of Oxford) Global Solutions to Cross-Diffusion Systems with Independent Advections in One Dimension

11:55-12:55: Lunch at Pichette Auditorium, Pembroke College 

13:00-13:45: Wei Xiang (City University of Hong Kong) Regular Shock Reflection-Diffraction Problem 

13:50-14:35: Hyangdong Park (KAIST, South Korea) Contact discontinuities for the steady Euler system in 3-D cylinders

14:40-15:10: Break at Pichette Auditorium, Pembroke College 

15:15-16:00: Michael Weinstein (University of Columbia) Edge States in Periodic and Aperiodic Structures  

16:05-16:50: Simon Schulz (University of Versailles Saint-Quentin) Regularity for Active Particles with Angle-Averaged Diffusions 

17:00: End of the Third-Day Programme  

8:30-8:55: Arrival Refreshments at Pichette Auditorium, Pembroke College

9:00-9:15: Open Remarks 

9:20-10:05: Moncia Musso (University of Bath) Compact Equilibria in the Liquid Drop Model

10:10-10:45: Sameh Hameedi (University of Oxford) Homogenization of Periodic Schrodinger Operators at Dirac Points

10:50-11:15: Break at Pichette Auditorium, Pembroke College 

11:20-12:05: Alexis Vasseur (University of Texas at Austin) BV Solutions to the Compressible Euler Equations with Physical Boundaries

12:10-12:55: Maria Bruna (University of Oxford) Hydrodynamic Limit of an Active-Passive Lattice Gas

13:00-14:00:  Hot Lunch at Pembroke Hall, Pembroke College 

14:05-14:50: Pieter Blue (University of Edinburgh) A Simple Model of Supersonic Shocks in Quasilinear Waves

14:55-15:30: Gerard Orriols (University of Cambridge) Compactness of Fueter Sections of Large Mass Monopole Bundles

15:35-16:05: Break at Pichette Auditorium, Pembroke College 

16:10-16:55: Clément Mouhot (University of Cambridge) Critical Trajectories in Kinetic Geometry

17:00: End of the Joint Programme 

8:30-8:55: Arrival Refreshments at Pichette Auditorium, Pembroke College

9:00-9:45: Mihaslis Dafermos (University of Cambridge) On the Stability Problem of Black Holes in General Relativity

9:50-10:25: Matt Smith (University of Cambridge) Shell Crossing and the Dynamical Formation of Thin Shells in Dust Collapse

10:30-11:05: Shuchen Guo (University of Oxford) Mean-Field Derivation of the Space-Homogeneous Landau Equation via BBGKY Hierarchy Method

11:10-11:55: Break and Light Lunches at Pichette Auditorium, Pembroke College 

12:00-12:45:  Ewelina Zatorska (University of Warwick) Weak-Strong Uniqueness for Bi-Fluid Compressible System with Algebraic Closure

12:50-13:25: Mónica Tapia del Moral (University of Cambridge) Characteristic Gluing for the Einstein Equations with Positive Cosmological Constant

13:30-14:15: Jeffrey Eric Galkowski (UCL) Spectral Asymptotics for the Schrödinger Equation with Bounded, Unstructured Potentials

14:15-14:30: Remarks

14:30: End of the Conferences