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Content archived on 2024-06-18

Integrable systems in the theory of waves in fluids

Objective

This project is aimed at studying nonlinear differential equations that arise in fluid mechanics. The equations that arise in nonlinear theories have many remarkable mathematical properties. The best known examples of such equations are the KdV, sin-Gordon and Nonlinear Schrödinger equations which are exactly solvable (integrable). In the recent years the Camassa-Holm (CH) equation has caught a tremendous deal of attention from mathematicians with different areas of expertise: spectral problems, integrable systems, analysis, differential geometry etc.The interest in the Camassa-Holm equation inspired the search for various generalizations of this equation with interesting properties and applications. A two-component generalization of the CH equation recently gained wide popularity. The project aims to investigate two main strands. The first one concerns the applied side of the integrable systems. It will focus on the investigation of the application of the two- and multi-component generalization of the CH equation (MCH) in models from hydrodynamics, theory of shallow water waves and the theory of metamorphosis. The second strand will be dedicated to the purely mathematical analysis of MCH, including development of solution techniques, investigation of global properties of the solutions etc.

Fields of science (EuroSciVoc)

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Topic(s)

Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.

Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

FP7-PEOPLE-IEF-2008
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Funding Scheme

Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.

MC-IEF - Intra-European Fellowships (IEF)

Coordinator

IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE
EU contribution
€ 229 902,27
Address
SOUTH KENSINGTON CAMPUS EXHIBITION ROAD
SW7 2AZ London
United Kingdom

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Region
London Inner London — West Westminster
Activity type
Higher or Secondary Education Establishments
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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

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