Objective
The purpose of the research plan is the development of the method called Functional Analytical Approach (FAA) for the analysis of singular perturbations of nonlinear transmission problems. The techniques proposed are based on potential theory and functional analysis and aim at describing the effect of perturbations in terms of real analytic functions. Both perturbations of the shapes of the domains of definition and of the coefficients of the operators will be considered. A special attention will be paid to the case of perforated and periodically perforated domains with shrinking holes and inclusions. The problems addressed are of interest also in view of inter-sectorial applications to the analysis of physical models in fluid dynamic, in elasticity, and in thermodynamic. Concrete applications will be shown in the study effective properties of composite materials, in inverse problems in acoustic and electromagnetic scattering, and in inclusion detection problems. The results obtained represent a novelty with respect to the existing literature for the following reasons:
• the techniques of FAA are innovative with respect to the classical approaches existing in literature and allow the implementation of analytic functions in the description of the effect of perturbations;
• we treat non-linear boundary value problems and transmission problems, which are relevant in application and present challenging difficulties;
• we will obtain new results of pure mathematics in the frame of potential theory. In particular we will study the analyticity of certain nonlinear integral operators related to the layer and volume potentials;
• we will show how to obtain explicit calculations and we will show concrete applications in continuum mechanics.
The final goal within the action is the realisation of a complete theory based on the FAA which will represent in future a key tool for the analysis of perturbed boundary value problems.
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.
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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.
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H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions
MAIN PROGRAMME
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H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility
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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.
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.
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.
MSCA-IF - Marie Skłodowska-Curie Individual Fellowships (IF)
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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.
(opens in new window) H2020-MSCA-IF-2014
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Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.
SY23 3BF Aberystwyth
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.