| A functional analytic approach for the analysis of nonlinear transmission problems | |
|---|---|
| Research Area | H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility |
| Project Reference | H2020-MSCA-IF-2014-654795-FAANon |
| Coordinator | Professor Gennady S. Mishuris |
| Project Funding | 195 454,8 euro |
| Researcher | Dr Matteo Dalla Riva |
| Contract Type | Marie Sklodowska-Curie Individual Fellowship (IF) |
| Start Date | 2015-12-01 |
| Duration | 24 months |
| Project Description | 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 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. |
Contact Details
Institute of Mathematics and PhysicsAberystwyth University
Physical Sciences Building
Aberystwyth
Ceredigion
SY23 3BZ
Tel: 01970 622 808 Fax: 01970 622 826 Email: imaps@aber.ac.uk