Objective
The project deals with the rigorous mathematical description of the behaviour of composite materials through the mathematical techniques of homogenization theory. The problem is to predict the overall response of the composite from the (partial) knowledge of its microstructure.
In particular the following problems will be considered: homogenization of boundary-value problems and of vibration problems in perforated domains for second-order elliptic, parabolic, and hyperbolic equations, and for the elasticity system, with particular emphasis on the case of rapidly oscillating boundary conditions and on vibration problems for bodies with masses concentrated on the boundary; homogenization of non-linear elliptic and parabolic boundary-value problems and of non-linear variational problems; Lagrangians with non-standard growth conditions and Lavrentiev phenomenon; asymptotic behaviour of solutions of non-linear stationary and evolution equations in perforated domains with Neumann boundary conditions; problems in periodic and random domains without the extension property; problems in p-connected domains; problems with traps and relations with problems with memory and hysteresis; homogenization of the Stokes system and of the Navier-Stokes system; a new approach to the proof of Darcy's law for periodic and random flows and construction of homogenized models for the motion of suspensions; motion of viscous liquids through random porous media; connections with percolation theory; liquid filtration through non-homogeneous non-periodic media; homogenization of quasi-stationary and non-stationary Stefan problems; homogenization of plasticity problems; wave propagation in inhomogeneous elastic media with small shear modulus and in mixtures of compressible weakly viscous and weakly thermoconductive liquids and gases; wave scattering on a rough surface; stabilization of solutions in wave guides; homogenization techniques for non-linear one-dimensional processes in inhomogeneous media with large space variations of the physical properties; asymptotic behaviour of the solutions of linear and non-linear partial differential equations on Riemannian manifolds with complicated microstructure; homogenization and scaling for random walks on lattices with excluded vertices and degenerate transition probabilities; construction of non-local vector models and of models with memory; relation between the conductivity threshold and the critical percolation probability; central limit theorem for the motion on an infinite cluster; necessary and sufficient conditions for G-convergence (respectively, Gamma-convergence) of non-linear elliptic operators (respectively, functionals) with varying domains of definition; variational methods for the proof of Hashin-Shtrikman type estimates, in particular for fourth-order operators and for the Stokes system.
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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)
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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.
Call for proposal
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
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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.
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Coordinator
34013 Trieste
Italy
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.