Valeria Chiadó Piat
" Multiscale modeling of masonry structures "
We discuss some mathematical models derived by a homogenization approach for the mechanical behaviour of masonry-like materials allowing fractures. The analysis is performed with the tools of Gamma-convergence theory in the context of functions of bounded deformation. The work in progress is done in collaboration with Anderson Melchor Hernandez and Marco Morandotti.
Maria Strazzullo
" Regularized Feedback Control strategies for Convection-Dominated Navier-Stokes Equations: Full and Reduced models "
In numerous scientific and industrial contexts, flow control is crucial.There is a growing interest in the topic. This talk focuses on steeringthe flow towards beneficial configurations, less turbulent and morelaminar. We propose a novel linear feedback control law forconvection-dominated Navier-Stokes equations ensuring exponentialconvergence to desired state. However, for high Reynolds numbers,additional stabilization is needed. We rely on the Evolve-Filter-Relax(EFR) algorithm, showing its theoretical non-exponential convergence.Moreover, we propose an adaptive EFR (aEFR) approach, which mitigatesnumerical oscillations in controlled settings, recovering theexponential convergence. Our theoretical framework is validated throughnumerical experiments on a 2D flow past cylinder with Reynolds 1000,both at full and reduced order model levels.
Valentina Beorchia
"A geometric approach to tensor eigenvectors"
Tensor eigenvectors are a generalization of matrix eigenvectors, and they admit several applications. Their definition induces a natural structure of standard determinantal scheme, which is called eigenscheme. We shall illustrate some characterization of their geometry by using projective bundles and some other classical techniques. We will finally apply some of these results to Jacobian schemes of highly singular conic-line arrangements in the plane.
There will be a round-table after the talks.
