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The workshop will bring an in-depth focus on analytical methods used in the study of dispersive shock waves (DSW) and related phenomena in dispersive systems. Several areas of current interest will be covered:
(i) The development of the inverse scattering transform (IST) and the Riemann-Hilbert approach to semi-classical limits for integrable partial differential equations (PDEs) with non-zero initial boundary conditions.
(ii) Analysis of perturbed periodic waves in dispersive systems with connections to rigorous modulation theory, dynamics, and stability.
(iii) Multidimensional dispersionless systems, their dispersive deformations, and dispersive regularisation of multidimensional wavebreaking.
(iv) Rigorous dispersive hydrodynamic research in connection with other programme themes including numerical analysis of dispersive systems and relationships to conservation law theory.
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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.
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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.
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“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.
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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.