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Content archived on 2024-05-30

Investigation of mathematical models for thin-film flows

Objective

"This research project will bring together Dr Roman Taranets, an outstanding young researcher at the Ukrainian National Academy of Sciences, and Professor John King, a leading expert in the theory of thin film flows at Nottingham University, UK. The research will be focussed on flows of thin liquid and polymer films. The combination of Dr Taranets’ background in research methods for the rigorous investigation of the qualitative properties of solutions to nonlinear partial differential equations and the host’s expertise in formal asymptotic methods and contacts with a range of industry-driven applications will be an ideal basis for a successful fellowship.
During the research project, we will
• study exact asymptotic behaviour travelling wave solutions for the thin film equation with non-zero contact angles;
• show the existence of a generalized solution for multi-dimensional coating flow models without surfactant and to investigate the behaviour of support of these solutions;
• investigate the asymptotic behaviour of generalized solutions for multi-dimensional coating flows with surfactant;
• put in place additional research programmes involving novel areas of application and employing innovative combinations of mathematical techniques.
Benefits of this transfer of knowledge will include the implementation of the collaborative research programmes above, the initial training of both early-career researchers in the UK and Dr Taranets in complementary mathematical approaches and the application of these unusual combinations of skills to a host of applications that are representative of the many fields in which high-order parabolic systems are now playing a central role. Moreover, ongoing collaborations between the Ukrainian and UK groups will provide a conduit for the continued expansion of the scope of these research activities. The ERA will benefit from proposed fellowship due to access to new approaches and methods for studying nonlinear PDEs."

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-2009-IIF
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.

MC-IIFR - International incoming fellowships (Return phase)

Coordinator

INSTITUTE OF APPLIED MATHEMATICS AND MECHANICS OF THE NATIONAL ACADEMY OF SCIENCE OF UKRAINE - IAMM NASU
EU contribution
€ 15 000,00
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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