Direttore Vicario: Prof. Gabriele Grillo
Responsabile Gestionale: Dr.ssa Franca Di Censo
﻿

### News

Il progetto "Teen – Teenagers Experience the Empowerment by Numbers – Potenziare il pensiero logico-matematico per educare all'autonomia e alla cittadinanza ragazzi e giovani immigrati che vicono in comunità" ha ottenuto il finanziamento previsto dal bando Polisocial 2017 assieme ad altri 6 progetti, su 31 progetti presentati, classificandosi al primo posto.
Il progetto è stato ideato da Chiara Andrà, Giulio Magli, Nicola Parolini e Marco Verani, del nostro Dipartimento, assieme a Elena Granata e Giovanni Vecchio (DASTU), Tommaso Agasisti (DIG) e Maurizio Zani (DFIS).

### Prossimi Eventi

•  ott 01 lun 2018 MOX Seminar Series Marek Behr, Computational prediction of blood damage,  01-10-2018, ore 14:00

• MOX Seminar Series
• Marek Behr
• Chair for Computational Analysis of Technical Systems Faculty of Mechanical Engineering, RWTH Aachen
• Computational prediction of blood damage
• Lunedì 1 ottobre 2018 alle ore 14:00
• Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
• Abstract
Modeling and computational analysis play an increasingly important role in bioengineering, particularly in the design of implantable ventricular assist devices (VAD) and other blood-handling devices. Numerical simulation of blood flow and associated physiological phenomena has the potential to shorten the design cycle and give the designers important insights into causes of blood damage and suboptimal performance. A set of modeling techniques is presented which are based on stabilized space-time finite element formulation of the Navier-Stokes equations. Alternate methods that represent the rotating components in an averaged sense using a rotating frame of reference will be discussed. In order to obtain quantitative hemolysis prediction, cumulative tensor-based measures of strain experienced by individual blood cells must be developed; red blood cells under shear can be modeled as deforming droplets, and their deformation tracked throughout the flow volume. The methods are applied to a simplified rotary blood pump, which is currently a subject of an inter-laboratory round-robin study.

Contact: luca.dede@polimi.it
• Prof. Marek Behr obtained his Bachelor’s and Ph.D. degrees in Aerospace Engineering and Mechanics form the University of Minnesota in Minneapolis. After faculty appointments at the University of Minnesota and at Rice University in Houston, he was appointed in 2004 as a Professor of Mechanical Engineering and holder of the Chair for Computational Analysis of Technical Systems at the RWTH Aachen University. Since 2006, he is the Scientific Director of the Aachen Institute for Advanced Study in Computational Engineering Science, focusing on inverse problems in engineering and funded in the framework of the Excellence Initiative in Germany. Behr advises or has advised over 50 doctoral students, and has published over 75 refereed journal articles and a number of conference publications and book chapters. He is a member of several advisory and editorial boards of international journals, Vice-President of the German Association for Computational Mechanics, and a Fellow of the International Association for Computational Mechanics.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  ott 09 mar 2018 Seminar Lorenzo Toniazzi, Caputo evolution equations with time-nonlocal initial condition,  09-10-2018, ore 15:15

• Seminar
• Lorenzo Toniazzi
• University of Warwick
• Caputo evolution equations with time-nonlocal initial condition
• Martedì 9 ottobre 2018 alle ore 15:15
• Aula Seminari 3° piano
• Abstract
Consider the Caputo evolution equation (EE) $\partial_t^\beta u =\Delta u$ with initial condition $\phi$ on $\{0\}\times\mathbb R^d$, $\beta\in(0,1)$. As it is well known, the solution reads $u(t,x)=\mathbf E_x[\phi(B_{E_t})]$. Here $B_t$ is a Brownian motion and the independent time-change $E_t$ is an inverse $\beta$-stable subordinator. The fractional kinetic $B_{E_t}$ is a popular model for subdiffusion \cite{Meerschaert2012}, with remarkable universality properties \cite{BC11,Hai18}.\
We substitute the Caputo fractional derivative $\partial_t^\beta$ with the Marchaud derivative. This results in a natural extension of the Caputo EE featuring a \emph{time-nonlocal initial condition} $\phi$ on $(-\infty,0]\times\mathbb R^d$. We derive the new stochastic representation for the solution, namely $u(t,x)=\mathbf E_x[\phi(-W_t,B_{E_t})]$. This stochastic representation has a pleasing interpretation due to the non-obvious presence of $W_t$, elucidating the notion of time-nonlocal initial conditions. Here $W_t$ denotes the waiting/trapping time of the fractional kinetic $B_{E_t}$. We discuss classical-wellposedness \cite{T18}, and time permitting weak-wellposedness \cite{DYZ17,DTZ18} for the respective extensions of Caputo-type EEs (such as in \cite{chen,HKT17}).

Bibliography:

Barlow, \u Cern\’y (2011). Probability theory and related fields, 149.3-4: 639-673.

Chen, Kim, Kumagai, Wang (2017). arXiv:1708.05863.

Du, Toniazzi, Zhou (2018). Preprint. Submitted in Sept. 2018.

Du, Yang, Zhou (2017). Discrete and continuous dynamical systems series B, Vol 22, n. 2.

Hairer, Iyer, Koralov, Novikov, Pajor-Gyulai (2018). The Annals of Probability, 46(2), 897-955.

Hern\’andez-Hern\’andez, Kolokoltsov, Toniazzi (2017). Chaos, Solitons \& Fractals, 102, 184-196.

Meerschaert, Sikorskii (2012). De Gruyter Studies in Mathematics, Book 43.

Toniazzi (2018). To appear in: Journal of Mathematical Analysis and Applications. arXiv:1805.02464.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  ott 11 gio 2018 MOX Seminar Series Bianca Maria Colosimo, Statistical modeling and monitoring of product and process quality in additive manufacturing: opportunities and challenges,  11-10-2018, ore 14:00

• MOX Seminar Series
• Bianca Maria Colosimo
• Dipartimento di Meccanica, Politecnico di Milano
• Statistical modeling and monitoring of product and process quality in additive manufacturing: opportunities and challenges
• Giovedì 11 ottobre 2018 alle ore 14:00
• Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
• Abstract
Additive Manufacturing (AM), commonly known as three-dimensional printing, is widely recognized as a disruptive technology, and has the potential to fundamentally change the nature of future manufacturing. Building products layer-by-layer, AM represents a paradigm shift in manufacturing with many industrial applications. It enables production of huge varieties of customized products with considerable geometric complexity, and the same time, with extended capabilities and functional performances.
Despite tremendous enthusiasm, AM faces major research challenges for widespread adoption of this innovative technology. Specifically, addressing the unique challenges associated with quality engineering of AM processes is crucial to the eventual success of AM. This talk presents an overview of quality-related issues for AM processes and products, focusing on opportunities and challenges in quality inspection, monitoring, control.

Contact: piercesare.secchi@polimi.it
• Bianca Maria Colosimo is full professor in the Department of Mechanical Engineering of Politecnico di Milano (Italy), where she is Deputy Head of the Department for research. She is Editor-in-chief of the Journal of Quality Technology (https://www.tandfonline.com/loi/ujqt20), member of the Advisory Board of the Quality, Statistics and Reliability Section at INFORMS, Council member of ENBIS (European Network of Business and Industrial Statistics) and members of the Manufuture platform (EU). In 2017, she has been selected among the 100 experts in STEM – https://100esperte.it. Since 2017, she is member of the POLIMI2040 board, whose main mission is to design long-term strategies for a technical university in Europe. In the last two years, she has been invited speaker in the professional course on Additive Manufacturing: From 3D Printing to the Factory Floor – at the Massachusetts Institute of Technology (MIT) on the topic “In-situ monitoring of Additive Manufacturing”. In 2017, she has been invited speaker of a plenary talk on “Modeling and Monitoring Methods for Complex Data”, at the Stu Hunter Research Conference (Copenhagen, Denmark).
Her research interest is mainly in the area of Quality Engineering (i.e. statistical process modeling, monitoring, control and optimization), with special attention to advanced manufacturing processes (metal additive manufacturing in particular) in the Industry4.0 framework. In this area, her main interest focuses on novel solutions for modeling and monitoring big data streams (images, videos, point clouds).
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  ott 15 lun 2018 ott 19 ven 2018 Convegno The 39th international conference on quantum probability and infinite dimensional analysis 15/10/2018 – 19/10/2018

Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568
•  ott 18 gio 2018 MOX Seminar Series Michel Destrade, Elastic waves in soft tissues: inverse analysis, experiments, simulations, validation,  18-10-2018, ore 14:00

• MOX Seminar Series
• Chair of Applied Mathematics at NUI Galway
• Elastic waves in soft tissues: inverse analysis, experiments, simulations, validation
• Giovedì 18 ottobre 2018 alle ore 14:00
• Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
• Abstract
Biological soft tissues and soft gels are difficult to study and model mathematically. Bioengineers often see them as engineering materials and try to evaluate their mechanical properties with standard testing protocols, such as tensile testing, simple shear, torsion, etc. These processes are destructive for tissues, as a sample is taken out of the body and placed in a device. The resulting measured parameters and models are expected to be very different from their in vivo counterparts. To test soft tissues properly, non¬-destructively, and non¬-invasively, we can rely on elastic waves. We can study the influence of pre¬stress on their speed and obtain the nonlinear elastic parameter by inverse analysis. This idea forms the basis of the theory of acousto-¬elasticity, which can be dated back to early works of Brillouin, and has been used successfully in the past for “hard” elastic solids such as rocks and metals. With this talk, we will explore the extension of acousto-¬elasticity to “soft” elastic solids, which can be subjected to large deformations in service. We will look at theoretical, numerical, experimental, and even clinical results, generated in particular on gels, brain, breast, and skin.

Contact: pasquale.ciarletta@polimi.it
• Michel Destrade is Chair of Applied Mathematics at NUI Galway, Adjunct Professor of Solid Mechanics at Zhejiang University, Adjunct Professor of Mechanical Engineering at University College Dublin, and a member of the International Brain Mechanics and Trauma Lab. Previously, he worked successively as a Junior Marie Curie Fellow (FP4) in Mathematical Physics at University College Dublin; as a Visiting Assistant Professor in Mathematics at Texas A&M University, USA; as a Directeur de Recherche with the French National Research Agency CNRS at the Institut d’Alembert, Universite Pierre et Marie Curie, Paris, France (currently on leave), and as a Senior Marie Curie Fellow (FP7) in Mechanical Engineering at University College Dublin.
He is Reviews Editor of the Proceedings of the Royal Society A, Contributing Editor of the International Journal of Non-Linear Mechanics, Associate Editor of SIAM Journal on Applied Mathematics, Journal of the Acoustical Society of America, and Editorial Board Member of Quarterly Journal of Mechanics and Applied Mathematics, International Journal of Applied Mechanics.
His research interests are in nonlinear elasticity, in stability of elastomers and biological soft tissues, and in linear, linearised, and non-linear waves. In those fields, he has authored more than 110 publications in refereed international journals.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  nov 22 gio 2018 MOX Seminar Series Michele Benzi, An overview of some mathematical and computational problems in network science,  22-11-2018, ore 14:00

• MOX Seminar Series
• Michele Benzi
• Scuola Normale Superiore, Pisa
• An overview of some mathematical and computational problems in network science
• Giovedì 22 novembre 2018 alle ore 14:00
• Aula Consiglio VII Piano – Edificio 14, Dipartimento di Matematica POLITECNICO DI MILANO
• Abstract
Network Science is a rapidly growing interdisciplinary area at the intersection of mathematics, computer science, and a multitude of disciplines from the natural and life sciences to the social sciences and even the humanities. Network analysis methods are now widely used in proteomics, in the study of social networks (both human and animal), in finance, in ecology, in bibliometric studies, in archeology, and in a host of other fields. In this talk I will introduce the audience to some of the mathematical and computational problems and methods of complex networks, with an emphasis on the basic notions of centrality and communicability. More specifically, I will describe some of the problems in large-scale numerical linear algebra arising in this area, and how they differ from the corresponding problems encountered in more traditional applications of numerical analysis. The talk will be accessible to students, requiring only a modest background in linear algebra, numerical analysis and graph theory.

Contacts: paola.antonietti@polimi.it, paolo.zunino@polimi.it
• Michele Benzi is full professor of Numerical Analysis at the Scuola Normale Superiore in Pisa. Until 2018 he was the Samuel Candler Dobbs Professor of Mathematics and Computer Science at Emory University, where he was on the faculty for 18 years, following positions at Los Alamos National Laboratory, CERFACS, and the University of Bologna. He received his PhD in 1993 from North Carolina State University and his Laurea degree from the University of Bologna in 1987. His main research interests are in numerical linear algebra, with a broad range of applications including CFD, Quantum Chemistry, and Network Science. He serves or has served on the editorial board of a number of scientific journals, and is a Fellow of both SIAM and the American Mathematical Society.
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568

•  nov 26 lun 2018 Seminar Shigefumi Mori, Birational equivalence of algebraic varieties,  26-11-2018, ore 16:30

• Seminar
• Shigefumi Mori
• Kyoto University Institute of Advanced Study
• Birational equivalence of algebraic varieties
• Lunedì 26 novembre 2018 alle ore 16:30
• Aula Chisini, Diparimento di Matematica, Via C. Saldini 50
• Politecnico di Milano, Dipartimento di Matematica via Bonardi 9, 20133 Milano – Telefono: +39 02 2399 4505 – Fax: +39 02 2399 4568