17 July 2000 to 4 August 2000
We have been made aware of a convincing email scam that is focusing on our Programme and Workshop participants. Participants may receive an email from a firm called Expo Hotel Services (ehotelservices.org) to arrange accommodation for workshops and/or programmes. This might include a request to provide them with credit card information.
Please note, INI will never ask for your card details. We take all payments via the University of Cambridge Online store https://onlinesales.admin.cam.ac.uk/.
If you have been contacted by this company please contact us as soon as possible.
Free Boundary Problems (FBPs) are, as the name suggests, problems that need to be solved in regions whose boundaries are unknown a priori and have to be determined as part of the solution. They thus involve the modelling and analysis of both bulk and surface phenomena, where the "surface" may range from that of a block of melting ice to an optimal stopping time. The topic "Free Boundary Problems" would not exist as a distinct mathematical entity without the stimulus it received from industrial research in the 1970's. The industrial demand for better understanding of free boundary problems, especially diffusional ones like Stefan problems, has brought about a startling unification in the mathematical and numerical analysis of models for phenomena such as shock waves, water waves, flame propagation, phase transformations and elastic contact phenomena. In particular it stimulated the search for weak and variational methods with which to prove well-posedness and to suggest robust and efficient algorithms that can be adapted to suit industrial needs.
It is very satisfying that recent developments in the mathematical theory of FBPs have given completely new insights into both regularity theories for partial differential equations and into the mathematical modelling of basic phenomena such as phase transitions and pattern formation, as well as equipping the community with off-the-shelf algorithms that answer many of the problems that spawned the subject 30 years ago
This programme will pivot around workshop-style sessions in which industrial and academic researchers will meet informally to discuss the latest generation of free boundary problems that need to be confronted theoretically. Coherence will be provided by considering problems from the food industry in one week, the glass industry in a second week and the metal industry in a third week. There will also be a small number of expository lectures on the relevant problems and methodologies.
Click here to download the programme's final scientific report
Exponential convergence towards stationary states for the 1D porous medium equation with fractional pressure
Authors: JA Carrillo, Y Huang, MC Santos, JL Vazquez
17 July 2000 to 4 August 2000
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: firstname.lastname@example.org
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.