Objective
Boundary value problems with moving boundaries are widely used in mathematical modeling a huge number of processes, which arise in physics, biology and industry. While these processes can be very different from a formal point of view, they have the common peculiarity: unknown moving boundaries. The most important subclass of such boundary value problems (BVPs) is the Stefan problems, in which the movement of unknown boundaries is governed by the well-known Stefan boundary conditions. BVPs with moving boundaries, particularly the multidimensional Stefan problems, are the main object of the proposed project.
Developing new theoretical foundations and algorithms for reduction of such BVPs to those of lower dimensionality and construction of exact solutions of BVPs in question is the main aim of the project. Applied goal is to compare the analytical results derived with those obtained by means of the appropriate numerical techniques in the case of a wide range of the physically and biologically motivated problems. Moreover such comparison will demonstrate the real interdisciplinary aspect of the proposal. The novel idea of the project is to develop the algorithms mentioned above using such symmetry based methods as the classical Lie-Ovsiannikov method, the Bluman-Cole method of non-classical symmetry, conditional symmetry method and their recent extensions.
The main results to be achieved: new definitions of (generalized) conditional invariance for BVPs with a wide range of boundary conditions will be derived; algorithms for how to construct all possible conditional symmetries for the given class of BVPs will be determined; new analytical results (conditional symmetries, reductions and exact solutions of BVPs) will be established by application of the algorithm to a wide range of nonlinear BVPs modeling the tumour growth processes and melting-evaporation processes.
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: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
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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-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.
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
NG7 2RD Nottingham
United Kingdom
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.