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. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.
- 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)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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.
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.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP7-PEOPLE-2012-IEF
See other projects for this call
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.
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.
Coordinator
37073 Gottingen
Germany
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.