Mathematical approaches to complex fluids: a two-week summer school

Workshop theme

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.

Applications for this workshop are now closed

The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:

The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Mathematical approaches to complex fluids: a two-week summer school, where work on this paper was undertaken. This work was supported by EPSRC grant EP/F005431/1 and EP/I016392/1.

Timetable

Monday 22nd July 2013
09:00 to 09:25	Registration	No Room Required
09:25 to 09:30	Welcome from John Toland (INI Director)	Room 1
09:30 to 11:00	Edgar Knobloch University of California, Berkeley Localized structures in fluid flows	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:00	Michael Shearer North Carolina State University Surfactants and Thin Liquid Layers 1	Room 1
12:15 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:45	Michael Shearer North Carolina State University Surfactants and Thin Liquid Layers 1	Room 1
14:45 to 15:00	Afternoon Tea	No Room Required
15:00 to 16:30	Topological defects in crystals and liquid crystals 1	Room 1

Tuesday 23rd July 2013
09:30 to 10:15	Len Pismen Technion - Israel Institute of Technology Bridging the scales near the contact line 1	Room 1
10:15 to 11:00	Uwe Thiele Loughborough University Gradient dynamics formulations of thin film equations	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:00	Geometric approach to modelling complex fluids 1	Room 1
12:15 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:45	Geometric approach to modelling complex fluids 1	Room 1
14:45 to 15:00	Afternoon Tea	No Room Required
15:00 to 16:30	Iain Stewart University of Strathclyde Introduction to liquid crystal continuum theory: statics and dynamics	Room 1
16:30 to 17:30	Poster Session / Drinks Reception	No Room Required

Wednesday 24th July 2013
09:30 to 11:00	Edgar Knobloch University of California, Berkeley Localized structures in fluid flows	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 13:00	Luca Biferale Università degli Studi di Roma Tor Vergata Lattice Boltzmann Methods for multi-phase turbulent flows	Room 1
13:00 to 13:30	Lunch at Wolfson Court	No Room Required
19:30 to 22:00	Conference Dinner at Emmanuel College	No Room Required

Thursday 25th July 2013
09:30 to 11:00	Iain Stewart University of Strathclyde Introduction to liquid crystal continuum theory: statics and dynamics	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:00	Geometric approach to modelling complex fluids 2	Room 1
12:15 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:45	Geometric approach to modelling complex fluids 2	Room 1
14:45 to 15:00	Afternoon Tea	No Room Required
15:00 to 16:30	John Ward Loughborough University Fluid dynamic approaches to modelling bacterial biofilms growth	Room 1

Friday 26th July 2013
09:30 to 11:00	Topological defects in crystals and liquid crystals 2	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:00	Len Pismen Technion - Israel Institute of Technology Bridging the scales near the contact line 2	Room 1
12:15 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:45	Len Pismen Technion - Israel Institute of Technology Bridging the scales near the contact line 3	Room 1
14:45 to 15:00	Afternoon Tea	No Room Required
15:00 to 16:30	Uwe Thiele Loughborough University Depinning transitions and deposition patterns	Room 1

Saturday 27th July 2013
09:00 to 17:00	Excursion	No Room Required

Monday 29th July 2013
09:30 to 11:00	Alejandro Rey McGill University Mechanics and Thermodynamics of Nematic Shape Equations	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:00	François Gay-Balmaz CNRS - Ecole Normale Superieure Paris An introduction to the variational principles and Poisson brackets for complex fluids	Room 1
12:15 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:45	François Gay-Balmaz CNRS - Ecole Normale Superieure Paris Equivalent theories of liquid crystals	Room 1
14:45 to 15:00	Afternoon Tea	No Room Required
15:00 to 16:30	Serafim Kalliadasis Imperial College London Recent progress on the moving contact line problem	Room 1

Tuesday 30th July 2013
09:30 to 11:00	Geometric approach to the Hamiltonian and Lagrangian formulation of complex fluids	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:00	John Toner University of Oregon Fish gotta swim, birds gotta fly, I gotta do Feynmann graphs 'till I die: A hydrodynamic theory of flocking 1 (Part 1)	Room 1
12:15 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:45	John Toner University of Oregon Fish gotta swim, birds gotta fly, I gotta do Feynmann graphs 'till I die: A hydrodynamic theory of flocking 1 (Part 2)	Room 1
14:45 to 15:00	Afternoon Tea	No Room Required
15:00 to 16:30	Andrea Bertozzi University of California, Los Angeles Particle laden thin films: theory and experiment	Room 1
17:00 to 18:00	Poster Session / Drinks Reception	No Room Required

Wednesday 31st July 2013
09:30 to 11:00	Jimmy Feng University of British Columbia Computation of complex fluid flows	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 13:00	Ramin Golestanian University of Oxford Hydrodynamic Coordination at Low Reynolds Number	Room 1
13:00 to 13:30	Lunch at Wolfson Court	No Room Required

Thursday 1st August 2013
09:30 to 11:00	Ioannis Kevrekidis Princeton University Equation-free approach to deriving effective macroscopic equations for complex interacting systems	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:00	Alejandro Rey McGill University Capillary Models for Liquid Crystal Fibers, Membranes, Films, and Drops	Room 1
12:15 to 13:30	Lunch at Wolfson Court	No Room Required
14:00 to 14:45	Alejandro Rey McGill University Capillary Models for Liquid Crystal Fibers, Membranes, Films, and Drops (Part 2)	Room 1
14:45 to 15:00	Afternoon Tea	No Room Required
15:00 to 16:30	Julia Yeomans University of Oxford Swimming at low Reynolds number	Room 1

Friday 2nd August 2013
09:30 to 11:00	Geometric approach to the Hamiltonian and Lagrangian formulation of complex fluids	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 13:00	John Toner University of Oregon Fish gotta swim, birds gotta fly, I gotta do Feynmann graphs 'till I die: A hydrodynamic theory of flocking 2 ¯	Room 1
13:00 to 13:30	Lunch at Wolfson Court	No Room Required

Mathematical approaches to complex fluids: a two-week summer school

Speakers

Andrea Bertozzi University of California, Los Angeles
Luca Biferale Università degli Studi di Roma Tor Vergata
Jimmy Feng University of British Columbia
François Gay-Balmaz CNRS - Ecole Normale Superieure Paris
Ramin Golestanian University of Oxford
Serafim Kalliadasis Imperial College London
Ioannis Kevrekidis Princeton University
Edgar Knobloch University of California, Berkeley
Len Pismen Technion - Israel Institute of Technology
Alejandro Rey McGill University
Michael Shearer North Carolina State University
Iain Stewart University of Strathclyde
Uwe Thiele Loughborough University
John Toner University of Oregon
John Ward Loughborough University
Julia Yeomans University of Oxford

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Mathematical approaches to complex fluids: a two-week summer school

Workshop theme

Applications for this workshop are now closed

Timetable

Speakers

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