NPD
8 January 2001 to 6 July 2001
This programme will emphasise selected recent developments in nonlinear elliptic and parabolic partial differential equations, together with geometric and scientific applications. It will be divided into four interrelated themes:
Reaction diffusion equations - Particular attention here will be given to transition layers and their applications.
Fully nonlinear equations - This area has developed substantially over the last two decades. Emphasis will be on Monge-Ampère equations and viscosity solutions.
Variational problems with singularities - This theme will focus on mathematical models arising from material science, particularly from superconductivity and liquid crystals.
Geometric evolution equations - The mathematical study of flows determined by geometric quantities has blossomed in recent years, with striking applications to areas such as image processing and relativity.
Click here to download the programme's final scientific report
Title | Year | Programme | Publication Date |
---|---|---|---|
Christoffel-Minkowski problem I: Hessian equations on $S^n$Authors: Xinan Ma, Bo Guan |
2000 | NPD | 21 October 2016 |
Convex hypersurfaces of prescribed curvatureAuthors: Bo Guan, Bo Guan |
2000 | NPD | 21 October 2016 |
On locally convex hypersurfaces with boundaryAuthors: Mu-Tao Wang, Neil Trudinger |
2000 | NPD | 21 October 2016 |
Monotonicity formulae and curvature equationsAuthors: John Urbas |
2000 | NPD | 21 October 2016 |
Neumann and second boundary value problems for Hessian and Gauss curvature flowsAuthors: Knut Smoczyk, OC Schnurer |
2000 | NPD | 21 October 2016 |
On the profile of the changing sign mountain pass solutions for an elliptic problemAuthors: Shusen Yan, Norman Dancer |
2000 | NPD | 21 October 2016 |
Kähler-Ricci solitons on compact manifolds with $c_1({\it M}) > 0$Authors: G Tian, X Zhu, Huai-Dong Cao |
2000 | NPD | 21 October 2016 |
Dynamical foundations of nonextensive statistical mechanicsAuthors: C Beck |
2000 | NPD | 21 October 2016 |
Non-additivity of Tsallis entropies and fluctuations of temperatureAuthors: C Beck |
2000 | NPD | 21 October 2016 |
On the small-scale statistics of Lagrangian turbulenceAuthors: C Beck |
2000 | NPD | 21 October 2016 |
Chaotic strings and standard model parametersAuthors: C Beck |
2000 | NPD | 21 October 2016 |
On evolutionary laws, inducing convex surfaces to shrink to a pointAuthors: Nina Ivochkina |
2000 | NPD | 21 October 2016 |
On a free boundary problem arising from population biologyAuthors: Norman Dancer, Y Du |
2000 | NPD | 21 October 2016 |
Reaction-diffusion: From systems to nonlocal equations in a class of free boundary problemsAuthors: JF Rodrigues |
2000 | NPD | 21 October 2016 |
Convergence in capacityAuthors: Urban Cegrell |
2000 | NPD | 21 October 2016 |
Schauder estimates for fully nonlinear elliptic difference operatorsAuthors: Neil Trudinger, Hung-Ju Kuo |
2000 | NPD | 21 October 2016 |
On higher-order viscosity approximations of one-dimensional conservation lawsAuthors: Victor Galaktionov |
2000 | NPD | 21 October 2016 |
26 March 2001 to 6 April 2001
9 April 2001 to 10 April 2001
9 May 2001 to 9 May 2001
25 June 2001 to 29 June 2001
2 July 2001 to 6 July 2001
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
© 2024 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.
Use this for pages on our website, including: visitor information, details about INI, fellowships, history, outreach, news, podcasts and more.
Use this for information about INI programmes, workshops, seminars, pre-prints, and participants.