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Mathematical Analysis, Modelling, and Applications

The activity in mathematical analysis is mainly focussed on ordinary and partial differential equations, on dynamical systems, on the calculus of variations, and on control theory. Connections of these topics with differential geometry are also developed.The activity in mathematical modelling is oriented to subjects for which the main technical tools come from mathematical analysis. The present themes are multiscale analysismechanics of materialsmicromagneticsmodelling of biological systems, and problems related to control theory.The applications of mathematics developed in this course are related to the numerical analysis of partial differential equations and of control problems. This activity is organized in collaboration with MathLab for the study of problems coming from the real world, from industrial applications, and from complex systems.

AJS - Analysis Junior Seminars 2019-2020

Date Speaker Seminar
November 15 Alessandro Scagliotti Continuous-Time Optimization Algorithms: a dissipative approach
November 22 Michele Stecconi Maximal and Typical topology of real polynomial singularities
December 6 Luca Franzoi Quadratic life span of periodic gravity-capillary water waves
December 13 Daniele Agostinelli Nutations in growing plant shoots: The role of elastic deformations due to gravity loading
January 10 Flavia Santarcangelo Equivalent Curvature Dimension conditions on metric measure spaces
January 17 Matteo Zancanaro Segregated methods for Reduced Order Models applied to the Navier-Stokes problem in a finite volume environment
January 23 Saddam Hijazi A survey of reduced order methods for turbulence treatment of the Navier–Stokes equations: Projection based methods and data-driven techniques
Feburary 14 Ekaterina Mukoseeva Minimality of the ball for a model of charged liquid droplets
February 21 Giuliano Klun Periodic solutions of nearly integrable Hamiltonian systems bifurcating from infinite-dimensional tori
April 17 Laura Meneghetti Convolutional Neural Networks for object detection in professional appliances
April 24 Cristiana De Filippis Latest news on (p,q) variational problems
May 8 Riccardo Tione Differential inclusions related to geometric problems
May 15 Davide Torlo Model Reduction for Advection Dominated Hyperbolic Problems in an ALE Framework: Offline and Online Phases
May 22 Cristina Sgattoni Solving nonlinear systems of equations via spectral residual methods: stepsize selection and applications
May 29 Gianmarco Gurioli Adaptive Cubic Regularisation Methods for Nonconvex Optimisation with Machine Learning Applications
May 29 Filippo Riva On a rate-independent damage model for hybrid laminates with cohesive interface

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