Discontinuities and Singularities in Nonlinear Evolution PDEs
Monday 7 - Tuesday 8 October 2024
Crisp-Hollamby Lecture Theatre, The H B Allen Centre, 25 Banbury Road, University of Oxford
This workshop (7-8 October 2024) focuses mainly on the Analysis of Nonlinear PDEs arising in the interplay of interacting particle systems, calculus of variations, and fluid dynamics. There will be a programme of research talks, but also plenty of time to network. This event is part of the UK National PDE Network events funded by the EPSRC grant "Generalised and low-regularity solutions of nonlinear PDEs" (EPSRC EP/V008854/1), as well as the EPSRC-NSF grant "DMS-EPSRC: Stability Analysis for Nonlinear Partial Differential Equations across Multiscale Applications" (EPSRC-NSF EP/V051121/1).
Registration
Workshop registration will close at 8:00am on 23 September 2024.
Abstracts
View the conference abstracts here.
Organisers:
David Bourne, Heriot-Watt University
Michele Coti-Zelati, Imperial College London
Federica Dragoni, University of Cardiff
Eduard Feireisl, Institute of Mathematics, Czech Academy of Sciences
Mahir Hadzic, University College London
Mikhail Korobkov, Fudan University, Shanghai
Mark Peletier, Technische Universiteit Eindhoven
Benoit Perthame, Sorbonne-Université
Giuseppe Savare, Università Bocconi
Lucia Scardia, Heriot-Watt University
Simon Schulz, Scuola Normale Superiore
Denis Serre, UMPA, Ecole Normale Supérieure de Lyon
| 09:30 | Welcome remarks |
| 09:35 | Gigliola Staffilani, MIT: A curious phenomenon in wave turbulence theory |
| 10:20 | Eduard Feireisl, Czech Academy of Sciences: On conditional regularity for compressible fluid models |
| 11:05 | BREAK |
| 11:35 | Giuseppe Savare, Università Bocconi: The Derrida-Lebowitz-Speer-Spohn equation: variational approaches and structure-preserving discretizations. |
| 12:20 | Mark Peletier, Eindhoven University of Technology: Noisy dislocations: 2D Coulomb interaction with Brownian noise |
| 13:00 | LUNCH |
| 14:05 | Michele Coti-Zelati, Imperial College London: Stability thresholds in three dimensional stratified fluids |
| 14:50 | Lucia Scardia, Heriot-Watt University: Shape Optimisation for nonlocal anisotropic energies |
| 15:30 | BREAK |
| 16:00 | Mahir Hadzic, University College London: On stable implosion for self-gravitating fluids |
| 16:45 | Edriss Titi, University of Cambridge: Inviscid Voigt Regularization of Fluid Models: Blow-up Criterion, Computations and Statistical Properties |
| 17:25 | Closing remarks |
| 09:00 | Welcome remarks |
| 09:10 | Benoît Perthame, Sorbonne Université: Adaptive evolution and concentrations in parabolic PDEs |
| 09:55 | Federica Dragoni, Cardiff University: Semiconcavity of the square distance in Carnot groups. |
| 10:40 | BREAK |
| 11:10 | Mikhail Korobkov, Fudan University, Shanghai: TBC |
| 11:55 | David Bourne, Heriot-Watt University: Optimal transport theory and the compressible semi-geostrophic equations |
| 12:40 | LUNCH |
| 13:45 | Simon Schulz, Scuola Normale Superiore di Pisa: The Morawetz problem for supersonic flow with cavitation |
| 14:30 | Denis Serre, ENS de Lyon: Compensated Integrability in bounded domains; Applications |
| 15:15 | Qian Wang, University of Oxford: On global dynamics of 33-D irrotational compressible fluids |
| 16:00 | Closing remarks and optional refreshments |