Objective
The aim of this proposal is to investigate several free boundary problems that arise naturally while studying a number of physical phenomena in elasticity, in phase change of materials, in the flow of two liquids in models of jets and cavities as well as in shape optimization. The project consists of four main topics: (1) Stefan-type free boundary problems describing solid-fluid phase transition. The objective is to prove existence and regularity results for those moving-boundary problems in which the moving interface has an active role in the overall process. (2) Thin obstacle type problems describing the behavior of semi-permeable membranes. Mathematically the questions to be investigated include regularity properties of free boundaries and of solutions of systems of equations that model phenomena in elasticity such as the vectorial Signorini problem. (3) Free boundary regularity problems for elliptic measures appearing in optimal design and optimal control problems. The proposed research includes the study of the singular set of the free boundary as well as questions of how the geometry of a domain can be recovered from the regularity of its elliptic measure by applying Geometric Measure Theory techniques. (4) Problems appearing in image processing and optimization problems involving domains with cracks and their origins are present in applications from fracture mechanics. These questions involve the study of the regularity for minimizers for Mumford-Shah type functionals, stability questions of Dirichlet eigenvalues and nonlinear Neumann problems in Reifenberg flat domains.
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-2009-RG
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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
1678 Nicosia
Cyprus
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.