Isaac Newton Institute for Mathematical Sciences

Mathematical Approaches to Complex Fluids - a Two Week Summer School

22 July – 2 August 2013

Organisers: Darryl Holm (Imperial) and Uwe Thiele (Loughborough)

in association with the Newton Institute programme Mathematical Modelling and Analysis of Complex Fluids and Active Media in Evolving Domains
(1 May - 23 August 2013)

Apply (deadline 10 May 2013) | Programme | Participants | Poster Session | Group Photograph


Theme | Fees | Accommodation | Meals


This two-week summer school is aimed at young researchers who want to develop their ability to model and analyse the behaviour of simple and complex fluids in confined evolving geometries; particularly, when the dynamics of bulk liquids and interfaces are coupled. The summer school will also allow experts to formulate and discuss fundamental questions of the field. The school will emphasise useful mathematical approaches of modelling, analysis and simulation, and will facilitate the transfer of knowledge between the various interested scientific communities. A number of Problem Sessions will highlight open challenges in the field.

Subjects to be treated include descriptions of the bulk behaviour of complex liquids as mixtures, solutions, suspensions, liquid crystals, morphactants, swimmers and active colloids. This equally features an introduction to the geometric approach to modelling complex fluids as a hydrodynamic theory of flocking. In parallel to the bulk descriptions, boundary effects and evolution will be discussed, e.g., capillarity and wetting effects for simple liquids, mixtures and liquid crystals, etc. Some attention will also be paid to the motion of a three phase contact line for simple and complex liquids and to gradient dynamics formulations of evolution equations for free surface films. The relations of the various models to equilibrium and non-equilibrium thermodynamics will be stressed.

The lectures will introduce various model types and derivation strategies as well as methods for their analysis and simulation. Examples include: Lattice Boltzmann Methods for complex fluids; particle-based scheme for cells and vesicles; phase field and other PDE methods; geometric mechanics of fluids; long-wave expansions and other asymptotic methods; linear techniques; dynamical renormalisation groups; the usage of methods from dynamical systems theory and pattern formation to understand, e.g., the role of localised states in fluid motion and phase transitions.


Invited speakers will include:

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Registration Only

The Registration Package includes admission to all seminars, lunches and refreshments on the days that lectures take place (Monday – Friday each week), wine reception and conference dinner, but does not include other meals or accommodation.

Registration and Accommodation

The Accommodation Package includes a registration fee, bed and breakfast accommodation at Wolfson Court from the evening of Sunday 21 July 2013 to breakfast on Saturday 3 August 2013, together with lunches and refreshments during the days that lectures take place (Monday – Friday each week). The conference dinner is also included, but no other evening meals.

No refund will be given if cancellation is within 4 weeks of the event, and the advertised fee cannot be reduced if only partial participation of the event is possible. However, please contact if you only wish to come for one day.

Conference Dinner Only

Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event. For all remaining participants who would like to attend, such as Visiting Fellows, programme participants or their guests, the above charge will apply.


The Accommodation Package includes bed and breakfast accommodation at Wolfson Court. Accommodation is in single study bedrooms with shared bathroom facilities.

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Lunch will be served at Wolfson Court in the Cafeteria from 12:30 to 13:30 on days that lectures take place.

Evening Meal

Participants are free to make their own arrangements for dinner.

Conference Dinner

The Conference Dinner will take place at 19:30 on Wednesday 24 July at Emmanuel College - please see the menu for details. Dress is smart casual. Participants on the Accommodation Package or Registration Package, including organisers and speakers, are automatically included in this event. All remaining participants are encouraged to attend for the price of £45 each.

If you are on the dinner list please ensure you arrive by 19:15 at the College.

Venue Information

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