Objective
The project combines two closely related themes in which nonlinear analysis addresses central issues of material behaviour. The first is the prediction and analysis of microstructure arising from solid phase transformations in alloys. Such microstructure largely determines the macroscopic properties of the material, but the prediction of its morphology remains poorly understood, and is related to deep unsolved problems in the calculus of variations. The aim is to make advances in this area using appropriate static and dynamic continuum models of nonlinear elasticity type, thus helping to create a predictive theory. The second theme is to develop the mathematical theory of the Landau - de Gennes theory of liquid crystals, in which the distribution of molecular orientations is described by a matrix order parameter. Regarded by physicists as a theory of choice for liquid crystals, the Landau - de Gennes model has been little studied by mathematicians. The aim is to understand more about its validity and properties of solutions, with potential gains for the prediction of the behaviour of new generations of liquid crystal displays.
Linking and underpinning the two themes are common mathematical and conceptual challenges, such as understanding the existence and singularities of minimizers in the multi-dimensional calculus of variations, the approach to equilibrium of thermomechanical systems, and the passage from atomic and molecular to continuum descriptions of materials. An expectation of the project is that the simultaneous study of problems from the two themes will lead both to new understanding of these fundamental scientific questions and to beneficial cross-fertilization between the themes.
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 pure mathematics mathematical analysis
- natural sciences mathematics applied mathematics
- engineering and technology materials engineering liquid crystals
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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.
ERC-2011-ADG_20110209
See other projects for this call
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.
Host institution
OX1 2JD Oxford
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.