Many fluids of industrial, biological and environmental importance (e.g. molten plastics, salad dressings, whole blood, sinovial fluid, clay and cement slurries, volcanic lavas) respond in a complicated fashion when deformed. The reasons for this complexity can be traced back to their molecular structure, which may itself be very elaborate, to microscopic supramolecular structures into which they assemble themselves and to the fluid mechanical forces that act between molecules and structures.
Many theories and explanations for their behaviour have been developed, using the techniques of statistical mechanics, thermodynamics and continuum mechanics. However many of these theories only cover part of this complex behaviour and are not readily applicable to industrial, medical or geomechanical problems, where quantitative predictions are required.
The key concept for constitutive behaviour is a mathematical model embodying physical insight into the behaviour of a particular material. Covering the full range of behaviour of most systems involves modelling on a wide range of length and time scales. Much of the difficulty experienced in seeking complete explanations of behaviour is connected with passage from smaller to larger length scales; in embedding the rheological equation of state into the conservation equations governing mass, momentum and energy. Most of the mathematical problems that arise involve non-linear differential, integro-differential and integral equations: a full range of analytical and numerical techniques has to be employed to obtain solutions.
The aim of the Programme was to bring together experts in all these approaches; to confront the assumptions of one group with the predictions of another; to discover what underlying problems were preventing progress and whether an extension of conventional approaches could overcome this; to widen the horizons of all.
DCF programme ran in 1996 and was popular enough to have have a reunion DCF programme 10 years later. This has been called DCF 10.
8 January 1996 to 12 January 1996
24 March 1996 to 4 April 1996
26 March 1996 to 28 March 1996
15 April 1996 to 19 April 1996
14 May 1996 to 15 May 1996
24 June 1996 to 28 June 1996
2 October 2006 to 5 October 2006
Thursday 5th October 2006 | |||
---|---|---|---|
14:30 to 14:40 |
Chris Petrie University of Newcastle upon Tyne |
Room 1 |
Friday 3rd October 2008 | |||
---|---|---|---|
09:40 to 09:50 |
Grid and particle based methods for complex flows - the way forward |
Room 1 | |
14:10 to 14:20 |
Simon Cox Aberystwyth University |
Room 1 | |
14:20 to 14:30 |
Mike Cates University of Edinburgh |
Room 1 | |
14:40 to 14:50 |
Stuart Clarke University of Cambridge |
Room 1 |
Subscribe for the latest updates on events and news
Isaac Newton Institute for Mathematical Sciences, 20 Clarkson Road, Cambridge CB3 0EH United Kingdom
Tel: +44 1223 335999 Email: reception@newton.ac.uk
© 2023 Isaac Newton Institute for Mathematical Sciences. All Rights Reserved. Privacy Policy
INI is a creative collaborative space which is occupied by up to fifty-five mathematical scientists at any one time (and many more when there is a workshop). Some of them may not have met before and others may not realise the relevance of other research to their own work.
INI is especially important as a forum where early-career researchers meet senior colleagues and form networks that last a lifetime.
Here you can learn about all activities past, present and future, watch live seminars and submit your own proposals for research programmes.
Within this section of the website you should find all the information required to arrange and plan your visit to the Institute. If you have any further questions, or are unable to find the information you require, please get in touch with the relevant staff member or our Reception team via our contact pages.
INI and its programme participants produce a range of publications to communicate information about activities and events, publish research outcomes, and document case studies which are written for a non-technical audience. You will find access to them all in this section.
The Isaac Newton Institute aims to maximise the benefit of its scientific programmes to the UK mathematical science community in a variety of ways.
Whether spreading research opportunities through its network of correspondents, offering summer schools to early career researchers, or hosting public-facing lectures through events such as the Cambridge Festival, there is always a great deal of activity to catch up on.
Find out about all of these endeavours in this section of the site.
There are various ways to keep up-to-date with current events and happenings at the Isaac Newton Institute. As detailed via the menu links within this section, our output covers social media streams, news articles, a regular podcast series, an online newsletter, and more detailed documents produced throughout the year.
“A world famous place for research in the mathematical sciences with a reputation for efficient management and a warm welcome for visitors”
The Isaac Newton Institute is a national and international visitor research institute. It runs research programmes on selected themes in mathematics and the mathematical sciences with applications over a wide range of science and technology. It attracts leading mathematical scientists from the UK and overseas to interact in research over an extended period.
INI has a vital national role, building on many strengths that already exist in UK universities, aiming to generate a new vitality through stimulating and nurturing research throughout the country.During each scientific programme new collaborations are made and ideas and expertise are exchanged and catalysed through lectures, seminars and informal interaction, which the INI building has been designed specifically to encourage.
For INI’s knowledge exchange arm, please see the Newton Gateway to Mathematics.
The Institute depends upon donations, as well as research grants, to support the world class research undertaken by participants in its programmes.
Fundraising activities are supported by a Development Board comprising leading figures in academia, industry and commerce.
Visit this section to learn more about how you could play a part in supporting INI’s groundbreaking research.
In this section you can find contact information, staff lists, maps and details of how to find INI’s main building in Cambridge.
Our administrative staff can help you with any queries regarding a prospective or planned visit. If you would like to discuss a proposed a research programme or other event, our senior management team will be happy to help.