Nonlinear analysis and the physical and biological sciences (in honour of Jack Carr)

21-22 May 2018

ICMS, 15 South College Street, Edinburgh, EH8 9AA

Workshop Organisers

Ball, John, University of Oxford and Heriot-Watt University
Eilbeck, J. Chris, Heriot-Watt University
Gimperlein, Heiko, Heriot-Watt University
Grinfeld, Michael, University of Strathclyde
Knops, Robin, Heriot-Watt University
Smyth, Noel, University of Edinburgh

There is a long and well-documented history of the mutually beneficial interaction between mathematics and  the physical sciences that now extends to  biological and other disciplines.  The main purpose of this workshop is to provide concentrated opportunity for discussion of the latest developments in nonlinear analysis and the physical and biological sciences, and the active influence that each exerts on the other.

The workshop is dedicated to the memory of Jack Carr.


Michael Atiyah, University of Edinburgh
John Ball, University of Oxford and Heriot-Watt University
Fernando da Costa, Universidade Aberta, Lisbon
Costas M Dafermos, Brown University
Dugald Duncan, Heriot-Watt University
Maria Esteban, CNRS & Université Paris-Dauphine
Irene Fonseca, Carnegie-Mellon University
Gero Friesecke, TU Münich
Stuart Hastings, University of Pittsburgh
Barbara Niethammer, University of Bonn
Robert Pego, Carnegie-Mellon University
Oliver Penrose, Heriot-Watt University
Marshall Slemrod, University of Wisconsin and Weizmann Institute of Science
Iain Stewart, University of Dundee
Làszló Székelyhidi, University of Leipzig
William C Troy,  University of Pittsburgh

Michael Atiyah, University of Edinburgh, has agreed to open the workshop.

The organisers are grateful for the financial support from the Glasgow Mathematical Journal Learning and Research Support Fund, the Maxwell Institute, Heriot-Watt University, ICMS, the Edinburgh Mathematical Society, and the North British Differential Equations Seminar.







Administrative enquiries regarding practical arrangements in Edinburgh should be emailed to: audrey (dot)



Please note that this workshop is now CLOSED. The registration fee is 45 GBP (payable in cash on arrival at ICMS) which includes coffees and a buffet lunch on both days.  



The workshop will be held at ICMS, 15 South College Street, Edinburgh, EH8 9AA



  • Invited Speakers and Organisers have already been contacted regarding accommodation.
  • All other participants are asked to arrange and pay for their own accommodation (only once your application has been accepted).   Some suggestions are below:
    • Ibis Hotel on South Bridge (not Hunter Square) Very close to ICMS.
    • Motel One Edinburgh (Please note that Motel One has two hotels in the city centre - Motel One Royal or Motel One Princes.  Both are within easy walking distance of ICMS)
    • Pollock Halls of Residence, The University of Edinburgh, 18 Holyrood Park Road, Edinburgh EH16 5AY 0800 028 7118 (UK only) - +44 (0)131 651 2189 - University of Edinburgh accommodation. Pollock Halls is about a 20-25 minute walk.
    • Jurys Inn Edinburgh, 43 Jeffrey Street, Edinburgh EH1 1DH +44 (0)131 200 3300 - A 5 minute walk from ICMS.
    • Edinburgh City Hotel, 79 Lauriston Place, Edinburgh, EH3 9HZ  +44 (0)131 622 7979 -
    • St Christophers Hostel, 9-13 Market Street, Edinburgh EH1 1DE  (approx 25.00 or less depending on offers available)+44 (0)20 7407 1856 - This is Youth Hostel accommodation.



Talks will be 40 minutes in length with 5 minutes for questions and answers.  All talks will be held in the Newhaven Lecture Theatre.  The lecture theatre has a built in computer, data projector, and visualiser/document camera.  In addition, there are two blackboards.  The projector and one board may be used simultaneously.  We advise Speakers that, where possible, you bring your talk on a memory stick/USB to put onto our computer in advance of your session - either at the start of the day or during coffee/lunch breaks.   ICMS staff can help with this.   It is possible for you to use your own laptops but it is then your own responsibility to ensure that resolutions are changed on the laptops if necessary (ICMS will not change the resolution on our equipment).   If you use a MAC we expect you to bring your own adaptor. 



We particularly invite PhD students and Postdocs to present their work as a poster.   Posters should be handed to ICMS staff on arrival at Registration and will be displayed during coffee, lunch breaks and after the talks on Monday and Tuesday.  



This gathering is in memory of Professor Jack Carr.   The dinner will be held on Monday 21 May 2018, at 19.00, in the St Trinnean Room, St Leonard's Hall, Pollock Halls of Residence, 18 Holyrood Park Road, Edinburgh.  Places for the dinner have now been allocated.   There is a non-refundable contribution of 40 GBP towards the cost of the dinner (payable in cash on arrival at ICMS). 



If you are travelling from overseas you may require an entry visa. A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and if so how to apply for one.



Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies that may occur on your trip.

A taxi directly from the airport will cost approximately 20.00 to 25.00 GBP to the city centre for a one-way journey.     There is also a bus service direct from the airport to the city centre which will cost 4.50 GBP single or 7.50 GBP return - the Airlink 100.  This is a frequent service (every 10 minutes during peak times) and will bring you close to Waverley Railway Station, only a short walk to the accommodation and the workshop venue.  Lothian buses charge £1.70 for a single, £4.00 for a day ticket. Please note that the exact fare is required and no change is given.


The workshop will occupy 2 full days, commencing 08.45 on 21 May until around 18.00 on 22 May.

Registration will take place 08.45 - 09.15 on 21 May at ICMS, 15 South College Street, Edinburgh, EH8 9AA.

Download the PDF of abstracts

Monday 21 May 2018


Registration in the Chapterhouse, Level 1, ICMS


Session Chair: Beatrice Pelloni
Michael Atiyah
(University of Edinburgh)
Brief opening remarks


John Ball (University of Oxford and Heriot-Watt University)
Jack Carr the mathematician


Michael Atiyah
The role of topology in non-linear analysis


Coffee/tea in the Chapterhouse


Irene Fonseca (Carnegie Mellon University)
Mathematical analysis of novel advanced materials


Lunch and poster session in the Chapterhouse


Session Chair: TBA
Gero Friesecke
(TU Munich)
Quantum correlations and optimal transport


Dugald Duncan (Heriot-Watt University)
Metastable patterns in solutions of a non-local equation


Fernando M da Costa (Universidade Aberta)
Sub-monolayer deposition models: similarity profiles and convergence rates


Tea/coffee and poster session in the Chapterhouse


Session Chair: Chris Eilbeck
Robert Pego
(Carnegie Mellon University)
Self-similar limits from ballistic annihilation of fronts


Barbara Niethammer (University of Bonn)
Instabilities and oscillations in coagulation equations


Workshop dinner in St Trinnean Room, St Leonard’s Hall, Pollock Halls of Residence, Holyrood Park Road, Edinburgh


Tuesday 22 May 2018


Session Chair: Noel Smyth
Iain Stewart
(University of Dundee)
A continuum model for smectic A liquid crystals


Stuart Hastings (University of Pittsburgh)
On the use of classical ode methods in modern applied analysis


Coffee/tea and poster session in the Chapterhouse


Session Chair: Michael Grinfeld
Oliver Penrose
(Heriot-Watt University)
An application of centre manifold theory in economics


William C Troy (University of Pittsburgh)
Periodic wave solutions of a two space dimensional neuronal model


Lunch and poster session in the Chapterhouse


Session Chair: Heiko Gimperlein
Maria J Esteban
(CNRS & Université Paris-Dauphine)
Analytical and numerical results about symmetry and symmetry breaking for Caffarelli-Kohn-Nirenberg inequalities


Marshall Slemrod (University of Wisconsin)
From C-G-S to Hilbert6


Tea/coffee and poster session in the Chapterhouse


Session Chair: Robin Knops
László Székelyhidi
(Leipzig University)
High-dimensionality and h-principle in PDE


Constantine Dafermos (Brown University)
Long time behavior of solutions to scalar conservation laws


Close of workshop and informal wine reception in the Chapterhouse

Download the PDF of abstracts