Project description
A mathematical look at ocean instability
Predicting how ocean waves behave remains one of the toughest problems in mathematical physics. From coastal safety to climate forecasting, it is difficult to accurately model water waves, especially when it comes to complex, two-dimensional surfaces. Supported by the Marie Skłodowska-Curie Actions programme, the UNSTABLE project tackles this head-on by advancing the mathematical theory behind these phenomena. Based at NTNU in Trondheim, with a secondment in France, the project focuses on the (in)stability, existence, and extremes – so-called highest waves – in nonlocal and fully dispersive wave models. Using tools like bifurcation theory and spectral analysis, the project pushes the frontier of nonlinear wave research while training the next generation of experts in this high-impact field.
Objective
"This MSCA-PF action in analysis of partial differential equations will establish instability, existence of dimension-breaking solutions, and necessary and sufficient conditions for highest waves in nonlocal and fully dispersive two-dimensional surface water wave equations. The objectives of this project will be achieved by implementing three interconnected work packages, each addressing key mathematical challenges related to water wave models: (in)stability, existence, and highest waves. Through these work packages, the project aims to establish instability theories of 2D surfaces, explore the existence of two-dimensional surface waves, and investigate the formation of highest singular waves in nonlocal water wave models.
The project is based at the Department of Mathematical Sciences (IMF), Norwegian University of Science and Technology (NTNU), Trondheim, Norway, with a three-month secondment at the University of Franche-Comté (UFC) in Besançon, France. We will also collaborate with external partners, who bring in expertise in spectral analysis, bifurcation theory, and the Nash–Moser method in water waves. The collaborations support the successful achievement of the project’s objectives and enhance the PI’s career development as an independent researcher. This proposal aligns with the Horizon Europe Work Programme by addressing challenges in the mathematical theory of water waves, advancing the state-of-the-art of nonlinear waves.
In addition to the research outcomes, the project includes lecturing and supervising activities, dissemination of the results in conferences, and participation in outreach activities organised by the NTNU. The research will be carried out within the research group ""Differential Equations and Numerical Analysis"", at the same department, whose head is the supervisor of the fellowship, Mats Ehrnström."
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Keywords
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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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HORIZON.1.2 - Marie Skłodowska-Curie Actions (MSCA)
MAIN PROGRAMME
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Topic(s)
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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.
HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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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) HORIZON-MSCA-2024-PF-01
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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.
7491 TRONDHEIM
Norway
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.