The following mini-symposia have been accepted and will be included in the programme at BAMC 2017.
Prof. Peter Hydon (Kent) and Prof. Liz Mansfield (Kent)
Dr Konstantin Blyuss (Sussex) and Dr Yuliya Kyrychko (Sussex)
Dr Philippe Trinh (Oxford)
Prof. Dominic Vella (Oxford) and Prof. Stephen Wilson (Strathclyde)
Prof. Mitchell Berger (Exeter) and Dr Eun-jin Kim (Sheffield)
Prof. Paolo Secchi (Brescia) and Prof. Marco Sammartino (Palermo)
The mathematical theory of fluid dynamics has seen, during the last two decades, significant advances that have increased the understanding of phenomena like boundary layer separation, transition, singularity formation. The aim of the minisymposium is to bring together scientists working in these fields to share the most recent advances, exchange new ideas and discuss future directions. In particular, the session aims to address some important issues such as strong interfaces evolution and vortex sheets dynamics, well and ill posedness results of the boundary layer equations, boundary layer stability, singularity formation and their role in phenomena like separation and transition, singular limits of multiscale physical models. This covers a wide range of outstanding problems and sophisticated, developing mathematical techniques, where also numerical simulation plays a role in exploring singular behavior of fluids and in suggesting conjectures and directions to mathematical analysis.
Prof. Frank Smith (UCL) and Prof. Alexander Korobkin (UEA)
Dr Carola-Bibiane Schönlieb (Cambridge), Dr Martin Benning (Cambridge) and Dr Matthias J Ehrhardt (Cambridge)
Dr Jan Sieber (Exeter)
Dr Cédric Beaume (Leeds)
From convectons to complexity in doubly diffusive convection
Doubly diffusive convection arises frequently in natural phenomena and industrial processes and occurs in systems characterised by competing fields that diffuse at different rates. Well-known examples are provided by thermohaline convection and the salt finger instability. In this talk, we consider three-dimensional thermohaline convection where a binary mixture is confined between vertical walls maintained at different temperatures and salinities. In this configuration, we found stationary spatially localised solutions consisting of spots of convection embedded in a background conduction state. These convectons are formed through a subcritical bifurcation from the conductive state (motionless fluid) and display a variety of patterns while simulations above onset reveal chaotic dynamics.
Prof. Xuesong Wu (Imperial) and Adam Butler (Imperial)
Davide Girolami (Oxford)
Dr Marianna Cerasuolo (Portsmouth)
Dr Jan Gutowski (Surrey)
Dr Ben Goddard (Edinburgh), Prof. Serafim Kalliadasis (Imperial) and Prof. Grigorios A Pavliotis (Imperial)
Multiscale systems are typically characterised by the presence of several length and/or time scales which are nonlinearly interacting with each other. As a result of such nontrivial interaction, multiscale systems often exhibit complex phenomena, such as pattern formation, chaotic behaviour and noise-induced critical phase transitions.
Multiscale analysis offers a versatile set of generic methodologies and tools for attacking fundamental and applied problems which involve multiple length and time scales enabling the rigorous and systematic study of the emergence of complex behavior in such systems. This in turn is important not only from a fundamental but also the applications’ point of view. For instance, many engineering systems are complex and multiscale and understanding their dynamics has the potential to predict a specific system’s behavior, engineer its design and build-in response to arrive at a highly optimal and robust system. At the same time most physical and technological systems are subject to external or internal random fluctuations which may play a key role in their dynamics, and fluctuations, even when weak, are responsible for many intriguing and surprising phenomena observed on an appropriate long time scale. Examples can be found in a wide variety of fields, ranging from biology and climate modeling to materials science.
The field of multiscale analysis has seen a rapid growth over the last few years. Originally regarded as part of Mathematics and Statistical Physics, today it is a truly cross disciplinary area which involves applied mathematicians and physicists, as well as engineers, chemists and biologists on the academic front, but also industrial scientists and practitioners on the applied front. In fact, multiscale analysis has been rather successful over the last few years in a wide spectrum of application areas, from materials science such as self-assembly and structural transitions in colloids, polymers, liquid crystals and charged fluids to equilibrium and kinetics of phase separation and formation of interfaces and thin films. In chemical and bio-engineering, models incorporating fluid inhomogeneities at small scales are used to understand and improve various technological processes, e.g., design and operation of miniature lab-on-a-chip chemical reactors and nanofluidic devices, DNA separation, growth of semiconductor nanowires and design of nano-patterned superhydrophobic surfaces and surfaces with controllable wetting properties
The proposed symposium aims to address an apparent gap in the BAMC agenda regarding multiscale systems by bringing leading experts from different communities and interrelated subjects in the general area of multiscale analysis including collective dynamics, density-functional theory, gradient flow systems, stochastic processes, molecular dynamics and micro-/nanoengineering.
Dr Jasmina Panovska-Griffiths (UCL)
Dr Mariano Beguerisse Díaz (Oxford), Prof. Peter Grindrod (Oxford), James Rankin (Exeter), Dr Jonathan Ward (Leeds)
Prof. Andrew Lacey (Heriot-Watt), Toby Davies (UCL)
Daniele Avitabile (Nottingham) and Prof. Gianne Derks (Surrey)
Sofia Olhede and Russell Rodrigues