New Faculty Seminars @DISIM” Series - July 20th, 2022

"New Faculty Seminars @DISIM” is a welcoming initiative for new members who have recently enrolled at DISIM, offering an opportunity to introduce themselves and summarize some salient aspects of their scientific activity. Details on the next approaching seminars are given below.Schedule: Wednesday July 20th, 2022 from 10:30 to 13.00 Italian timeThe event will take place in Room A1.7 ("Alan Turing" building) and will be streamed via Webex, following the link number: 2734 124 7530; password: hsPYwf5BJ72).Since the capacity of the classroom is still limited due to current restrictions, please kindly reserve your sit by filling in the form available at the following link: Dr. Luigi Forcella, Prof. Tobias Kuna, Dr. Carmela Scalone, Dr. Giacomo Valente and Dr. Yuriy Zacchia Lun (Department of Information Engineering, Computer Science, and Mathematics, University of L'Aquila)Luigi Forcella, A finite time blow-up result for a Davey-Stewartson system

Abstract: In this talk, we consider a three dimensional elliptic-elliptic Davey-Stewartson system, and we give sufficient conditions for formation of singularities in finite time. The studied model is a non-local NLS-type equation, and the proof of the main result is based on general results on distributions defined via homogeneous symbols, which allow us to employ a convexity argument.Tobias Kuna, The realisability problem
Abstract: The so-called realizability problem is also called the inverse problem of statistical mechanics. More general, it is an infinite dimensional instance of the truncated moment problem. In material science typically only the first two correlation functions (that is density profile and structure function) are relevant. Hence it is natural to ask which functions can appear as the first two correlation functions and which properties of the system, one can read off out of them. The quantum analogue of this problem, the so-called representability problem was classified as one of the top problems in chemical physics by the US National Research Council in 1995. I will give a short overview over my work and mathematically rigorous results in the area. The work is done  in collaboration with Emanuele Caglioti (Sapienza University of Rome), Maria Infusion (University of Cagliari), Joel Lebowitz (Rutgers University), Eugene Speer (Rutgers University).Carmela Scalone, A robust conservative rank adaptive algorithm for Vlasov-Poisson equation
Abstract: Dynamical low-rank approximation, as recently proved, can be extremely efficient in solving kinetic equations. In this talk, we address our specific interest to Vlasov-Poisson equation. However, a major deficiency is that existing dynamical low-rank approximations do not preserve the structure of the underlying physical problem.  In this work, we propose a robust integrator for the conservative dynamical low-rank approach that conserves mass and momentum (up to machine precision) and significantly improves energy conservation. We also report improved qualitative results for some problems and show how the approach can be combined with a rank adaptive scheme. This is a joint work with L. Einkemmer and A. Ostermann (University of Innsbruck).Giacomo Valente, Real-time applications on heterogeneous SoCs: challenges and solutions
Abstract: Heterogeneous system-on-chips (SoCs) that include both general-purpose processors and field programmable gate arrays (FPGAs) are emerging as very promising platforms to develop modern cyber-physical systems; these platforms combine the typical flexibility enabled by software with the speedup achievable by custom hardware accelerators. In addition, the dynamic partial reconfiguration (DPR) capabilities of modern FPGAs make such platforms even more attractive, offering the possibility of (i) virtualizing the FPGA area to support several hardware accelerators in time sharing and (ii) repairing at runtime some areas of the SoC when faults happen. However, heterogeneous platforms originate considerable challenges in the design and development process of applications, especially if timing and energy constraints are concerned. Different frameworks have been recently proposed to support the development of real-time applications upon such platforms, able to support on ensuring predictability and optimizing resource allocation. In addition, associated to those frameworks different tools have been provided, in order to allow practical usage by Industry and Academy. This talk analyzes the problem of ensuring the predictability of applications executed on top of heterogeneous SoC platforms, providing some solutions to bound the total response time. Then, the problem of optimal resource allocation on FPGA-side is discussed, envisioning a framework that allows to sistematically design real-time applications on heterogenous SoCs.Yuriy Zacchia Lun, Wireless networked control systems: an interdisciplinary research perspective
Abstract: A coupled design of communicational, computational, and control aspects in wireless networked control systems (WNCSs) offers unprecedented efficiency and resilience in many essential applications, including industrial automation and intelligent transportation. However, it requires careful collective consideration of the radio propagation environment characteristics, wireless internetworking facets, control application requirements and constraints, and algorithmic complexity of viable solutions. This talk will address the development of analytical methods for co-designing WNCSs with reliable real-time performance.

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