Near Hydrodynamic Type Systems in 2 +1 Dimensions

Project Information

HYDRON

Grant agreement ID: 332136

Project closed

Start date 1 June 2013

End date 31 May 2015

Funded under

• Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Total cost € 161 968,80

EU contribution € 161 968,80

Coordinated by

GEORG-AUGUST-UNIVERSITAT GOTTINGEN STIFTUNG OFFENTLICHEN RECHTS
Germany

Objective

"Systems of hydrodynamic type are first-order quasi-linear PDEs (partial differential equations). Their solutions are generically singular. As certain limits of more general nonlinear PDEs, modelling e.g. the evolution of physical systems, they describe critical phenomena, like shock waves. An embedding in (or deformation to) a more general nonlinear PDE typically ""regularises"" such a critical phenomenon and introduces specific features. The question how such a catastrophe becomes noticeable near a corresponding critical event is of uttermost importance, in particular for its prediction in nature. Moreover, explorations in 1+1 space-time dimensions led to a conjecture (Boris Dubrovin, 2006) of a universal behavior of solutions near such critical events, governed by an exceptional class of differential equations, the Painleve equations. In this project, hydrodynamic-type systems are addressed as limiting cases of integrable PDEs, for which a large class of exact solutions can be constructed and powerful analytical methods are available. It concentrates on equations in 2+1 space-time dimensions, which in this respect is fairly unexplored terrain. Three complementary methods are employed for a corresponding exploration: hydrodynamic reductions, bidifferential calculus, and numerical analysis in the critical regime."

Fields of science (EuroSciVoc)

CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques.

• natural sciences › mathematics › pure mathematics › mathematical analysis › differential equations › partial differential equations
• natural sciences › mathematics › applied mathematics › numerical analysis

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Programme(s)

• FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)

Topic(s)

• FP7-PEOPLE-2012-IEF - Marie-Curie Action: "Intra-European fellowships for career development"

Call for proposal

FP7-PEOPLE-2012-IEF
See other projects for this call

Funding Scheme

MC-IEF - Intra-European Fellowships (IEF)

Coordinator

GEORG-AUGUST-UNIVERSITAT GOTTINGEN STIFTUNG OFFENTLICHEN RECHTS

• EU contribution: € 161 968,80
• Address: WILHELMSPLATZ 1 ; 37073 Gottingen ; Germany
• Region: Niedersachsen › Braunschweig › Göttingen
• Activity type: Higher or Secondary Education Establishments
• Total cost: No data