Mathematical modelling and analysis of complex fluids and active media in evolving domains

Programme theme

This four month programme shall advance the mathematical modelling and analysis of complex fluids and active media in situations involving interface and contact line dynamics. It is focused on confined systems involving various kinds of interfaces as, for instance, moving or evaporating drops on substrates, vesicles, thin films, crawling and swimming cells, biological membranes and tissues. Dynamical processes of interest to the programme include as well surface induced phase transitions, cell adhesion and locomotion on surfaces, and bio-convection caused by active swimmers interacting with boundaries. The involved complex behaviour is marked by the interplay of different instabilities triggering hierarchical structure formation processes. Theoretical approaches range from stochastic discrete descriptions of processes on the nanoscale to deterministic continuum descriptions of processes on the micro- or macroscopic scales. The latter naturally connect to advances in the analysis of partial differential equations for kinetic theory. Some attention will as well be paid to multiscale analysis and computations.

The programme shall foster the development of advanced mathematical descriptions of the coupling of the bulk dynamics of complex fluids and active media with the dynamics of free surfaces, interfaces and contact lines. Thereby the programme will initiate new collaborations between applied mathematicians and the different communities of physicists or engineers involved in biological physics, soft condensed matter science, chemical/mechanical engineering, nano- and microfluidics, and related fields. The programme combines research seminars, embedded workshops and a summer school with a number of short instructional courses. The latter will particularly allow younger researchers to better integrate concepts of mathematical modelling and non-equilibrium, nonlinear, and soft matter science into the presently active research fields.

Click here to download the programme's final scientific report

Preprints

Title	Year	Programme
Localized rotating convection with no-slip boundary conditions Authors: C Beaume, H-C Kao, Edgar Knobloch, A Bergeon Download PDF	2013	CFM	21 October 2016
On the coupling between an ideal fluid and immersed particles Authors: Henry Jacobs, TS Ratiu, M Desbrun Download PDF	2013	CFM	21 October 2016
Strongly coupled interaction between a ridge of fluid and an external airflow Authors: C Paterson, Stephen Wilson, BR Duffy Download PDF	2013	CFM	21 October 2016
Heteroclinic snaking near a heteroclinic chain in dragged meniscus problems Authors: Dmitri Tseluiko, Mariano Galvagno, Uwe Thiele Download PDF	2013	CFM	21 October 2016
Patterned deposition at moving contact lines Authors: Uwe Thiele Download PDF	2013	CFM	21 October 2016
Gradient dynamics description for films of mixtures and suspensions - the case of dewetting triggered by coupled film height and concentration fluctuations Authors: Uwe Thiele, Desislava Todorova, H Lopez Download PDF	2013	CFM	21 October 2016
Equivalent theories of liquid crystal dynamics Authors: François Gay-Balmaz, TS Ratiu, Cesare Tronci Download PDF	2013	CFM	21 October 2016
Upscale energy transfer in three-dimensional rapidly rotating turbulent convection Authors: AM Rubio, K Julien, Edgar Knobloch, JB Weiss Download PDF	2013	CFM	21 October 2016
Integrable G-Strands on semisimple Lie groups Authors: François Gay-Balmaz, Christian Holm, TS Ratiu Download PDF	2013	CFM	21 October 2016
The shear-driven Rayleigh problem for generalised Newtonian fluids Authors: BR Duffy, D Pritchard, Stephen Wilson Download PDF	2013	CFM	21 October 2016
On convergent schemes for diffuse interface models for two-phase flow of incompressible fluids with general mass densities Authors: Günther Grün Download PDF	2013	CFM	21 October 2016
Shallow flows of generalised Newtonian fluids on an inclined plane Authors: D Pritchard, BR Duffy, Stephen Wilson Download PDF	2013	CFM	21 October 2016
On the lifetimes of evaporating droplets Authors: JM Stauber, Stephen Wilson, BR Duffy, K Sefiane Download PDF	2013	CFM	21 October 2016

Workshops

CFMW01

Seminars

Wednesday 8th May 2013
10:00 to 12:00	informal discussion - Yoshinaga	Discussion Room

Thursday 9th May 2013
14:00 to 15:00	Uwe Thiele Loughborough University Evolution equations for films of mixtures and suspensions - the case of dewetting mixtures	Room 1
15:00 to 16:00	Mitya Pushkin University of Oxford Stirring in active media	Room 1

Tuesday 14th May 2013
11:00 to 12:00	Constantino Carlos Reyes-Aldasoro City University, London ; Rachele Allena École Normale Supérieure d'Arts et Métiers (ENSAM) ; Ruth Baker University of Oxford Transport of charged macromolecules under applied electric fields	Room 1
12:00 to 13:00	Marco Fontelos ICMAT Contact line instabilities in electrowetting	Room 1

Wednesday 15th May 2013
12:00 to 14:00	video conference - C Holm	Discussion Room

Thursday 16th May 2013
14:00 to 15:00	Natsuhiko Yoshinaga Tohoku University Spontaneous motion and deformation of a droplet	Room 1
15:00 to 16:00	What does geometric mechanics have to say about the dynamics of complex fluids?	Room 1

Tuesday 21st May 2013
11:00 to 12:00	Stephen Wilson University of Strathclyde A rigid or elastic plate floating on the free surface of a viscous film: a coupled free boundary and fluid-structure interaction problem	Room 2
12:00 to 13:00	What does the dynamics of complex fluids have to say about geometric mechanics?	Room 2
15:00 to 17:00	for C Holm	Discussion Room

Wednesday 22nd May 2013
11:30 to 13:20	Chris Holm's video meeting	Discussion Room

Thursday 23rd May 2013
14:00 to 15:00	Karsten Kruse Universität des Saarlandes Hydrodynamic description of the actin cortex	Room 1
15:00 to 16:00	Len Pismen Technion - Israel Institute of Technology Motor action in semiflexible networks	Room 1

Tuesday 28th May 2013
11:00 to 11:30	Rodica Borcia Brandenburgische Technische Universität Phase field models for two-fluid systems	Room 1
11:30 to 12:00	Rodica Borcia Brandenburgische Technische Universität Lubrication approaches for binary mixtures	Room 1
12:00 to 13:00	Alexander Alexeev Georgia Institute of Technology Modeling swelling kinetics and transport in hydrogels using mesoscale simulations	Room 1

Wednesday 29th May 2013
09:00 to 11:00	Informal discussion	Discussion Room
14:00 to 15:00	Discussion	Room 1

Thursday 30th May 2013
14:00 to 15:00	Barbara Wagner Technische Universität Berlin On effective slip for an upper convected Maxwell fluid	Room 1
15:00 to 16:00	Andreas Muench University of Oxford Structure formation in thin films of polymer mixtures	Room 1

Tuesday 4th June 2013
11:00 to 12:00	Günther Grün Friedrich-Alexander-Universität Erlangen-Nürnberg On diffuse-interface models for two-phase flow with different mass densities: thermodynamic consistency, simulations, and numerical analysis	Room 1
12:00 to 13:00	Antonio DeSimone SISSA Crawling motility	Room 1

Thursday 6th June 2013
14:00 to 15:00	Epifanio Virga Università degli Studi di Pavia Aggregation and mean-field for ferrofluid monolayers	Room 1
15:00 to 16:00	Nariya Uchida Tohoku University Orientational order, synchronization and defect turbulence in arrays of active microfluidic rotors	Room 1

Monday 10th June 2013
17:00 to 18:00	Nonlocal evolution equations (Rothschild Distinguished Visiting Fellow lecture)	Room 1

Tuesday 11th June 2013
11:00 to 12:00	Cesare Tronci University of Surrey Hydrodynamic vorticity and helicity of conservative liquid crystal flows	Room 1
12:00 to 13:00	Michael Shearer North Carolina State University Continuum Models of Two-Phase Flow in Porous Media	Room 1

Thursday 13th June 2013
14:00 to 15:00	Joris Vankerschaver Imperial College London Problems and surprises in geometric mechanics	Room 1

Monday 17th June 2013
14:00 to 15:00	Len Pismen Technion - Israel Institute of Technology Discussion of motion of defects in nematics	Room 1

Tuesday 18th June 2013
11:00 to 12:00	Dynamics and rectification of active Brownian particles	Room 1
12:00 to 13:00	John King University of Nottingham Thin-film flows with mass transfer	Room 1
14:00 to 16:00	Karsten Kruse Universität des Saarlandes An introduction into the hydrodynamics of active polar gels - part 1	Room 1

Wednesday 19th June 2013
11:00 to 12:00	Henry Jacobs Imperial College London Do particle methods for fluids make sense?	Room 1

Thursday 20th June 2013
11:00 to 13:00	Karsten Kruse Universität des Saarlandes An introduction into the hydrodynamics of active polar gels - part 2	Room 1
14:00 to 15:00	Richard Craster Imperial College London Surfactant driven thin-film flows	Room 1
15:00 to 16:00	Solvent free computer simulation of nanoparticle-cell membrane interactions	Room 1

Tuesday 2nd July 2013
11:00 to 12:00	Tiezheng Qian Hong Kong University of Science and Technology Modeling and simulations for two-phase flows at solid surfaces	Room 2
12:00 to 13:00	Fernando Peruani Université de Nice Sophia Antipolis From bacteria to collective motion in heterogeneous media	Room 2

Thursday 4th July 2013
14:00 to 15:00	Enkeleida Lushi Imperial College London Chemotactic dynamics in suspensions of micro-swimmers	Room 1
15:00 to 16:00	Oliver Jensen University of Manchester Modelling the growth of plant cells and tissues	Room 1

Tuesday 9th July 2013
11:00 to 12:00	Stephen Watson University of Glasgow Emergent Coarsening Dynamics and Scaling Laws via the Principle of Maximum Dissipation	Room 2
12:00 to 13:00	Georgy Kitavtsev Max-Planck-Institut für Mathematik, Leipzig Coarsening Rates for the Dynamics of Interacting Slipping Droplets	Room 2

Thursday 11th July 2013
14:00 to 15:00	Peter Olmsted University of Leeds Some effects of boundaries and interfaces on bulk non-Newtonian fluids	Room 2
15:00 to 16:00	Li-shi Luo Old Dominion University Lattice Boltzmann model for visco-elastic fluids in 2D	Room 2

Tuesday 16th July 2013
11:00 to 12:00	Ivan Smalyukh University of Colorado Surface anchoring mediated hierarchical self-assembly in orientationally ordered plasmonic complex fluids	Room 2
12:00 to 13:00	Andrew Hazel University of Manchester Geometry-induced complexity in internal two-phase flows	Room 2

Thursday 18th July 2013
14:00 to 15:00	Marcus Müller Georg-August-Universität Göttingen Studying slow collective phenomena by concurrently coupling particle-based and continuum descriptions.	Room 2
15:00 to 16:00	Arthur Straube Humboldt-Universität zu Berlin Synchronous versus asynchronous transport of a paramagnetic particle in a modulated ratchet potential	Room 2

Tuesday 6th August 2013
11:00 to 12:00	Ioannis Kevrekidis Princeton University Coarse bifurcation studies of complex problems	Room 1

Thursday 8th August 2013
14:00 to 15:00	Suzanne Fielding Durham University Flow instabilities in complex fluids	Room 2
15:00 to 16:00	Emanuela Del Gado ETH Zürich Soft matter in construction	Room 2

Tuesday 13th August 2013
11:00 to 12:00	Axel Voigt Technische Universität Dresden A phase field approach to cell motility	Room 2
12:00 to 13:00	Phase separation kinetics of active particles	Room 2

Thursday 15th August 2013
15:00 to 16:00	Alejandro Rey McGill University Structure and Dynamics of Biological Liquid Crystals	Room 2

Mathematical modelling and analysis of complex fluids and active media in evolving domains

Organisers

Darryl Holm Imperial College London
Karsten Kruse Universität des Saarlandes
Peter Olmsted University of Leeds
Len Pismen Technion - Israel Institute of Technology
Uwe Thiele Loughborough University

Speakers

Alexander Alexeev Georgia Institute of Technology
Rachele Allena École Normale Supérieure d'Arts et Métiers (ENSAM)
Ruth Baker University of Oxford
Rodica Borcia Brandenburgische Technische Universität
Richard Craster Imperial College London
Emanuela Del Gado ETH Zürich
Antonio DeSimone SISSA
Suzanne Fielding Durham University
Marco Fontelos ICMAT
Günther Grün Friedrich-Alexander-Universität Erlangen-Nürnberg
Andrew Hazel University of Manchester
Henry Jacobs Imperial College London
Oliver Jensen University of Manchester
Ioannis Kevrekidis Princeton University
John King University of Nottingham
Georgy Kitavtsev Max-Planck-Institut für Mathematik, Leipzig
Karsten Kruse Universität des Saarlandes
Li-shi Luo Old Dominion University
Enkeleida Lushi Imperial College London
Andreas Muench University of Oxford
Marcus Müller Georg-August-Universität Göttingen
Peter Olmsted University of Leeds
Fernando Peruani Université de Nice Sophia Antipolis
Len Pismen Technion - Israel Institute of Technology
Mitya Pushkin University of Oxford
Tiezheng Qian Hong Kong University of Science and Technology
Alejandro Rey McGill University
Constantino Carlos Reyes-Aldasoro City University, London
Michael Shearer North Carolina State University
Ivan Smalyukh University of Colorado
Arthur Straube Humboldt-Universität zu Berlin
Uwe Thiele Loughborough University
Cesare Tronci University of Surrey
Nariya Uchida Tohoku University
Joris Vankerschaver Imperial College London
Epifanio Virga Università degli Studi di Pavia
Axel Voigt Technische Universität Dresden
Barbara Wagner Technische Universität Berlin
Stephen Watson University of Glasgow
Stephen Wilson University of Strathclyde
Natsuhiko Yoshinaga Tohoku University

Show All

Mathematical modelling and analysis of complex fluids and active media in evolving domains

Programme theme

Preprints

Localized rotating convection with no-slip boundary conditions

On the coupling between an ideal fluid and immersed particles

Strongly coupled interaction between a ridge of fluid and an external airflow

Heteroclinic snaking near a heteroclinic chain in dragged meniscus problems

Patterned deposition at moving contact lines

Gradient dynamics description for films of mixtures and suspensions - the case of dewetting triggered by coupled film height and concentration fluctuations

Equivalent theories of liquid crystal dynamics

Upscale energy transfer in three-dimensional rapidly rotating turbulent convection

Integrable G-Strands on semisimple Lie groups

The shear-driven Rayleigh problem for generalised Newtonian fluids

On convergent schemes for diffuse interface models for two-phase flow of incompressible fluids with general mass densities

Shallow flows of generalised Newtonian fluids on an inclined plane

On the lifetimes of evaporating droplets

Workshops

Dynamics of active suspensions, gels, cells and tissues

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

Complex fluids in evolving domains

Seminars

Organisers

Speakers

Supported By

Mathematical modelling and analysis of complex fluids and active media in evolving domains

Programme theme

Preprints

Localized rotating convection with no-slip boundary conditions

On the coupling between an ideal fluid and immersed particles

Strongly coupled interaction between a ridge of fluid and an external airflow

Heteroclinic snaking near a heteroclinic chain in dragged meniscus problems

Patterned deposition at moving contact lines

Gradient dynamics description for films of mixtures and suspensions - the case of dewetting triggered by coupled film height and concentration fluctuations

Equivalent theories of liquid crystal dynamics

Upscale energy transfer in three-dimensional rapidly rotating turbulent convection

Integrable G-Strands on semisimple Lie groups

The shear-driven Rayleigh problem for generalised Newtonian fluids

On convergent schemes for diffuse interface models for two-phase flow of incompressible fluids with general mass densities

Shallow flows of generalised Newtonian fluids on an inclined plane

On the lifetimes of evaporating droplets

Workshops

Dynamics of active suspensions, gels, cells and tissues

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

Complex fluids in evolving domains

Seminars

Organisers

Speakers

Supported By

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