INTEGRABLE SYSTEMS

Integrable systems in the theory of waves in fluids

Coordinatore	IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE    more  Organization address address: SOUTH KENSINGTON CAMPUS EXHIBITION ROAD city: LONDON postcode: SW7 2AZ contact info Titolo: Ms. Nome: Brooke Cognome: Alasya Email: send email Telefono: +44 20 7594 1181 Fax: +44 20 7591 1418
Nazionalità Coordinatore	United Kingdom [UK]
Totale costo	0 €
EC contributo	229˙902 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-IEF-2008
Funding Scheme	MC-IEF
Anno di inizio	2009
Periodo (anno-mese-giorno)	2009-09-02   -   2011-09-01

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	IMPERIAL COLLEGE OF SCIENCE, TECHNOLOGY AND MEDICINE  Organization address address: SOUTH KENSINGTON CAMPUS EXHIBITION ROAD city: LONDON postcode: SW7 2AZ contact info Titolo: Ms. Nome: Brooke Cognome: Alasya Email: send email Telefono: +44 20 7594 1181 Fax: +44 20 7591 1418	UK (LONDON)	coordinator	229˙902.27

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 Obiettivo del progetto (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.'