On the existence of an inertial manifold for a deconvolution model of the 2D mean Boussinesq equations

We show the existence of an inertial manifold (i.e. a globally invariant, exponentially attracting, finite-dimensional manifold) for the approximate deconvolution model of the 2D mean Boussinesq equations. This model is obtained by means of the Van Cittern approximate deconvolution operators, which is applied to the 2D filtered Boussinesq equations

Suitable weak solutions of the Navier-Stokes equations constructed by a space-time numerical discretization

We prove that weak solutions obtained as limits of certain numerical space-time discretizations are suitable in the sense of Scheffer and Caffarelli-Kohn-Nirenberg. More precisely, in the space-periodic setting, we consider a full discretization in which the theta-method is used to discretize the time variable, while in the space variables we consider appropriate families of finite elements. The main result is the validity of the so-called local energy inequality.Comment: 16 page

Renewable energy for Latium: looking for innovative technologies in PV and solar thermal field.

European METTTES Project, financed within the FP6-2005-INNOV-7 call, aimed to test a new methodology to encourage the launch of transnational collaborations technology based among European small and medium enterprises (SMEs) and/or research organizations, focusing its attention on regional technology demand, influenced by changes in regulations and standards and fostered by local incentives. METTTES considered European directives, national, regional and local measures (i.e. incentives, projects, etc.) potentially influencing companies’ behavior. In addition, METTTES has also taken into account the IPPC (Integrated Pollution Prevention and Control) Directive 96/61/EC, whose purpose is to achieve an integrated pollution prevention and control from the industrial activities. At the end of these analysis, METTTES derived the technology demand not from the needs of individual enterprises, but instead from the regional system. A certain number of Regional Demand Profiles (RDPs) on particular interesting industrial fields have been collected at European level; the documentation includes a comprehensive analysis and detailed presentation of current regional technology demands and forecasts as well as foresight regarding future demands triggered by legal requirements new administrative regulations or national environmental policy and BATs analysis. Each RDP document has been edited with the collaboration of local stakeholders and administrations and by auditing involving SMEs. Results of each RDP have been high quality Technology Requests (TRs) expressed by local companies which seek technological collaboration. For Latium Region this task has been performed by CNR in the sector of PV and solar thermal technologies

Suitable weak solutions to the 3D Navier-Stokes equations are constructed with the Voigt Approximation

In this paper we consider the Navier-Stokes equations supplemented with either the Dirichlet or vorticity-based Navier boundary conditions. We prove that weak solutions obtained as limits of solutions to the Navier-Stokes-Voigt model satisfy the local energy inequality. Moreover, in the periodic setting we prove that if the parameters are chosen in an appropriate way, then we can construct suitable weak solutions trough a Fourier-Galerkin finite-dimensional approximation in the space variables

Global regularity for systems with pp-structure depending on the symmetric gradient

In this paper we study on smooth bounded domains the global regularity (up to the boundary) for weak solutions to systems having $p$-structure depending only on the symmetric part of the gradient.Comment: 19 pages. arXiv admin note: text overlap with arXiv:1607.0629