Objective
FLARe falls into the fields of fractional nonlinear spatio-temporal evolution equations, their dynamical analysis and bifurcation structure, from a theoretical and numerical point of view. The fractional Laplacian well describes nonlocal super diffusion phenomena which naturally appear in many applications in physics, biology and economy, characterized by long-range interactions. In the theory of nonlocal operators it constitutes the counterpart of the standard Laplacian in the classical theory of partial differential equations. Despite their differences, most of the relevant questions associated to the Laplacian have an equivalent for the fractional Laplacian. The novel challenge of FLARe is to also extend the analytical and numerical tools coming from a dynamical system approach for standard diffusion equations, to treat fractional diffusion equations (e.g. amplitude equations, continuation softwares etc.). This will be done thanks to an innovative interaction between the theoretical results on fractional operators, established theory on PDEs dynamics, stability and bifurcations, new and efficient discretization techniques and the continuation software pde2path. Taken together, they are going to constitute a solid methodology to investigate the dynamical properties of nonlinear fractional diffusion equations. These aspects also constitute the long term impact of the action: a well established link of three research fields, namely fractional diffusion theory, the dynamical system approach to PDEs and continuation software available for standard diffusion equation, which are not so well connected at the moment. The new link between different communities, the important results achieved during the action, the new capabilities of the continuation software, the supervisor expertise and clear guidance, the training and the outstanding research environment provided by the host institution are going to be the springboard for the researcher to a future career in academia.
Fields of science (EuroSciVoc)
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-2019
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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.
80333 Muenchen
Germany
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.