Partial Differential Equations and Fluid Mechanics: current state and future directions

Monday, May 4th – Thursday, May 7th, 2020
University of Bath, UK

This is an open conference on rigorous methods for nonlinear problems and PDEs and fluid mechanics, with particular emphasis on surface waves, bringing together leading experts in waves, vortex flows and generalised solutions to the Euler equations with experts in the Calculus of Variations, Elliptic PDE, Dynamical Systems and Bifurcation Theory to review progress and identify future research directions.


John Toland

The conference will take place close to the 71st birthday of Professor John Toland (FRS) and will mark his contributions to PDEs and fluid mechanics and his prominent role in the wider mathematical community (including as President of the LMS, Director of the ICMS Edinburgh, Director of the INI Cambridge and on the Board of the IMU).

Mini courses

There will be four mini courses (of two lectures each) accessible at a graduate student level:

  • Yann Brenier (École normale supérieure) Variational principles and generalised solutions of Euler equations
  • Mariana Hărăguş (Franche-Comté) Stability of periodic waves in dispersive problems
  • Walter Strauss (Brown) Water waves
  • Edriss Titi (Cambridge) The Navier-Stokes equations: where are we standing?


In addition to the minicourses, there will be talks at research level:

  • John Ball (Heriot-Watt)
  • Gui-Qiang Chen (Oxford)
  • Elaine Crooks (Swansea)
  • Ivar Ekeland (Paris-Dauphine)
  • Maria Esteban (Paris-Dauphine)
  • Mahir Hadžić (UCL)
  • Monica Musso (Bath)
  • Eugene Shargorodsky (KCL)
  • Eugen Vărvărucă (Iaşi, Romania)
  • Miles Wheeler (Bath)

All participants are welcome to present a poster at the poster session and those wishing to do so should email the organisers by 18th April 2020.

Preliminary schedule

  Mon. 4 May
12:00–1:00 Registration
1:00–2:00 Mini course 1
2:15–3:15 Mini course 2
3:15–3:45 BREAK
3:45–4:30 Research talk
4:45–5:30 Research talk
Evening Reception
  Tue. 5 May Wed. 6 May Thu. 7 May
9:30–10:30 Mini course 3 Mini course 1 Mini course 3
11:00–12:00 Mini course 4 Mini course 2 Mini course 4
1:30–2:15 Research talk Research talk Research talk
2:30–3:15 Research talk Research talk Research talk
3:15–3:45 BREAK BREAK  
3:45–4:30 Research talk Research talk  
4:45–5:30 Research talk Poster Session  
Evening Conference Dinner    


Registration at the Bath Online Store by the deadline 18 April 2020. The registration fee is £80 including the conference dinner on Tuesday evening and £30 without the conference dinner. The £30 registration fee is waived for those retired or on a career break.


This meeting is supported by a London Mathematical Society Conference Grant which includes limited funding to support UK based graduate students presenting posters. To apply for funding send an email with a short CV to Monica Musso at by 28 February 2020.

Parents with children and carers are encouraged to apply for an LMS Caring Supplementary Grant.

Travel advice

The University has a page with useful advice on how to travel to city of Bath and to the University campus. Bath has many hotels and guesthouses, which can be booked via the many web-based travel sites.


Organisers: Geoffrey Burton, Manuel Del Pino, Monica Musso, Jey Sivaloganathan, Miles Wheeler

Any enquiries can be directed to Miles Wheeler on or Jey Sivaloganathan on