Objective
The aim of the project NONREGWKAM consists in enlightening weak KAM Theory and Lagrangian dynamics from a new point of view that is directed to point out and exploit fundamental interactions of this theory with different problems coming from the Calculus o f Variations and PDEs which are naturally posed in a non-smooth setting.
It is possible to summarize the approach that will be employed in the following steps:
- To generalize the dynamical approach and extend the results of weak KAM Theory to the case of non-regular Hamiltonians;
- To deeply explore connections and applications of non-regular weak KAM Theory and generalized dynamical techniques to the study of properties of absolute minimal Lipschitz extensions in connection with EulerAronsson equation;
- To explore further generalizations of non-regular weak KAM Theory to the stationary ergodic setting.
The novelty relies on the use of generalized dynamical techniques, exploitable in presence of a convex Hamiltonian, which is solely continuous, i.e. when a flow cannot be in general defined.
These objectives have been selected as the ones with highest priority for the importance of their applications and for the high value expected from the interaction of the researcher with A. Fathi. A long list of problems and questions falls in each section of the project and a series of connections between different areas of research arise in this framework.
By participating in the mobility action the researcher will receive training through research in the advanced methods and techniques of weak KAM Theory and Lagrangian Dynamical Systems, which will furnish him more tools to investigate relationships between these areas in the framework of the present project.
He will benefit of the research links of the host to improve his contacts and collaborations elsewhere. All of these aspects provide an excellent base to allow him to establish as an expert in a broad and important area of Mathematics.
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.
- natural sciences mathematics applied mathematics dynamical systems
- natural sciences mathematics pure mathematics mathematical analysis differential equations partial differential equations
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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.
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.
FP6-2005-MOBILITY-5
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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
LYON
France
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.