Il gruppo di ricerca in Analisi Matematica e Applicazioni si occupa in particolare di Equazioni alle Derivate Parziali e di Calcolo delle Variazioni.

Dal punto di vista tecnico vengono studiati vari aspetti relativi alle equazioni alle derivate parziali di evoluzione: esistenza, unicita', regolarita', comportamento asintotico, attrattori etc. per sistemi di PDE non-lineari (iperboliche, paraboliche e BV) in spazi di Banach e in spazi metrici.

Nella tradizione del gruppo viene seguito un approccio interdisciplinare in cui i risultati astratti si allacciano alle loro applicazioni in un "dialogo" che coinvolge anche molte collaborazioni in ambito ingegneristico e computazionale. Tra le varie applicazioni: i probemi a frontiera libera, le transizioni di fase, la meccanica (elasticita' non-lineare, plasticita', danneggiamento e frattura) i cristalli liquidi e le membrane cellulari.
 

Docenti e Ricercatori

PostDoc ed Assegnisti

Dottorandi

Ospiti e Collaboratori

Visitatori

Appuntamenti nel 2015

• 2/02/2016 Dynamic fracture: existence and uniqueness of evolutions for a simplified peeling test
  Dr. Giuliano Lazzaroni, SISSA, Trieste
• 2/02/2016 On the systems of PDE in mean field games theory
  Prof. Alessio Porretta, University of Rome Tor Vergata
• 8/02/2016 On the geometry of optimal shapes for spectral functionals
  Dr. Davide Zucco, University of Turin
• 9/02/2016 Perspectives in Applied PDEs: a day in Pavia
  Pavia, February 9, 2016
• 11/02/2016 Characterizations of sets of finite perimeter: old and recent results
  Prof. Luigi Ambrosio, Scuola Normale Superiore di Pisa.
• 23/02/2016 Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem
  Prof. Daniele di Pietro, University of Montpellier
• 25/02/2016 Iterative Schemes for Coupled Multiphysical Problems in Electrical Engineering
  Prof. Sebastian Schöps, Technische Universität Darmstadt
• 8/03/2016 Differential sensitivity for evolutions with hysteresis
  Prof. Martin Brokate, Technische Universität München
• 12/04/2016 Computational homology and some applications in electromagnetism
  Prof. Ana Alonso Rodriguez, University of Trento
• 19/04/2016 Renormalisation in Regularity Structures
  Prof. Lorenzo Zambotti, UPMC Paris
• 26/04/2016 Isogeometric Analysis with C^1-smooth isogeometric functions
  Dr. Mario Kapl, Austrian Academy of Sciences
• 4/05/2016 Learning and Control of Multiagent Systems
  Prof. Massimo Fornasier, Technische Uni­ver­si­tät München
• 5/05/2016 La matematica dentro l’immagine: dal restauro degli affreschi di Mantegna ai metodi matematici per il trattamento delle immagini.
  Massimo Fornasier, Technische Universität München
• 10/05/2016 Gradient flows with strong irreversibility
  Prof. Goro Akagi, Kobe University
• 27/05/2016 PDE models for neural networks
  Prof. Benoit Perthame, Laboratoire Jacques-Louis Lions, UPMC, Paris
• 7/06/2016 A new class of cost for optimal transport planning
  Prof. Guy Bouchitté, Université de Toulon
• 24/06/2016 The Virtual Element Method: New Results and Perspectives
  Prof. Alessandro Russo, Università di Milano-Bicocca
• 13/09/2016 A new identification problem: optimizing the fractional order in a nonlocal evolution problem
  Prof. Jürgen Sprekels (WIAS and Humboldt University, Berlin, Germany)
• 20/09/2016 Convergent finite difference scheme for compressible Navier-Stokes in three spatial dimensions
  Dr. Hosek Radim, Mathematical Institute of the Czech Academy of Sciences, Prague
• 22/09/2016 Numerical solution of the discharge inception
  Dr Andrea Villa, Ricerca sul Sistema Energetico - RSE S.p.A., Milano
• 19/10/2016 - 21/10/2016 Workshop on Recent Trends in the Analysis of PDEs
  
• 25/10/2016 Periodic Homogenization in Linear Elasticity
  Prof. Gilles Francfort, Université Paris-Nord
• 25/11/2016 Information theoretic inequalities for log-concave and stable densities
  Prof. Giuseppe Toscani, Università di Pavia
• 25/11/2016 Recent developments in scientific computing. Lezione inaugurale del XXXII ciclo di dottorato in Matematica, Pavia-Milano Bicocca-INdAM.
  Prof. Franco Brezzi, IMATI Pavia
• 1/12/2016 Energy band calculations for graphene nanoribbons
  Dr. Clément Jourdana, LJK, Université Grenoble Alpes
• 14/02/2017 The Regge family of finite elements: structure-preserving elements for metrics
  Prof. Douglas Arnold, School of Mathematics, University of Minnesota
• 7/03/2017 Hierarchical Model Reduction Methods for Incompressible Fluids: Basics, Direct & Inverse Problems, Applications.
  Prof. Alessandro Veneziani, Emory University, Atlanta and School of Advanced Studies IUSS Pavia
• 14/03/2017 Nonlinear and Nonlocal Degenerate Diffusions on Bounded Domains
  Prof. Matteo Bonforte, UAM, Madrid
• 21/03/2017 Entropy entropy-production estimates for energy-reaction diffusion systems
  Prof. Alexander Mielke, WIAS, Berlino
• 22/03/2017 A free discontinuity approach for the optimization of the Robin-Laplacian eigenvalues
  Prof. Alessandro Giacomini, Università degli Studi di Brescia
• 4/04/2017 Exact single level and bilevel programming approaches to the computation of Leader-Follower Nash Equilibria in games with many followers
  Dr. Stefano Coniglio, University of Southampton
• 26/04/2017 Multi-degree smooth polar splines: A framework for design and analysis
  Dr. Hendrik Speleers, Università degli Studi di Roma “Tor Vergata”
• 28/04/2017 On a robust phase field approach to topology optimization
  Prof. Dietmar Hömberg, WIAS, Berlino
• 9/05/2017 Interaction Energy minimizers and partial regularity for higher order Obstacle Problems
  Dr. Matias Delgadino - ICTP Trieste
• 9/05/2017 On boundary stabilization of equilibrium solutions to parabolic-like equations
  Dr. Ionuţ Munteanu, Cuza University, Romania
• 11/05/2017 On some non crossing matching problems
  Prof. Federico Malucelli, DEIB Politecnico di Milano
• 23/05/2017 Mathematical challenges in computational micromagnetics
  Dr. Michele Ruggeri, TU Vienna
• 6/06/2017 A lower semicontinuity result for a free-discontinuity functional with a boundary term
  Prof. Rodica Toader, Università di Udine
• 22/06/2017 Computational Hemodynamics in the Clinical Setting: Challenges and Developments
  Alex Viguerie, Emory University, Atlanta
• 11/07/2017 Efficient discretisation and domain decomposition preconditioners for incompressible fluid mechanics
  Michal Bosy - Università di Pavia
• 6/10/2017 Mixed approximation of elliptic problems on hybrid meshes
  Ariel Lombardi, Universidad Nacional de Rosario and CONICET, Argentina
• 24/10/2017 Measure-theoretic approach for minimum-time problems for multi-agent systems
  Dr. Giulia Cavagnari, Rutgers University e Università degli studi di Pavia
• 7/11/2017 Well-posedness of semilinear SPDEs with singular drift: a variational approach
  Luca Scarpa, University College London
• 14/11/2017 Social Interactions and Behavioral Dynamics in Human Crowds
  Prof. Nicola Bellomo, Politecnico di Torino
• 21/11/2017 Structure-preserving schemes for the Maxwell system: conforming and non-conforming Finite Elements
  Martin Campos Pinto, Laboratoire JL Lions CNRS & UPMC, Paris
• 28/11/2017 Uniqueness and regularity for the Cahn-Hilliard-Hele-Shaw system with logarithmic potential
  Andrea Giorgini, Università di Pavia
• 9/01/2018 Recent results on fractional harmonic maps
  Prof. Yannick Sire, Johns Hopkins University, Baltimora
• 9/01/2018 Padé-based Model Order Reduction for Helmholtz frequency responses
  Dr. Francesca Bonizzoni, Università di Vienna
• 16/01/2018 N-player games and mean field games with absorption
  Prof. Luciano Campi, London School of Economics
• 16/01/2018 Flight Plan Optimization
  Prof. Marco Chiarandini, University of Southern Denmark
• 13/02/2018 Domain-decomposition preconditioning for linear wave problems
  Dr. Euan Spence, Bath University
• 6/03/2018 Fractional flows driven by subdifferentials
  Prof. Goro Akagi, Mathematical Institute, Tohoku University
• 13/03/2018 Stability and new techniques in branched transportation.
  Dr. Andrea Marchese, Università degli studi di Pavia
• 15/03/2018 Multivariate (Geometric) Constraints Solving using Subdivision based Solvers
  Prof. Gershon Elber, Technion - Israel Institute of Technology
• 20/03/2018 An inverse problems perspective on machine learning and optimization
  Prof. Lorenzo Rosasco, Università di Genova e Massachusetts Institute of Technology.
• 27/03/2018 Laplacian Spectral Basis for Numerical Geometry Processing and 3D Shape Analysis
  Dr. Giuseppe Patanè, IMATI-CNR, Genova
• 5/04/2018 Regular approximation of Wasserstein geodesics via entropy minimization
  Dr. Luca Tamanini, Institut für Angewandte Mathematik, Bonn
• 17/04/2018 Scattering by fractal screens - functional analysis and computation
  Dr. David Hewett, University College London
• 17/04/2018 A diffuse interface model for tumour growth with applications to neuro-oncology
  Dr. Abramo Agosti, Politecnico di Milano
• 24/04/2018 Finding limiting dissipative potentials via EDP convergence
  Prof. Alexander Mielke, WIAS and HU Berlin
• 15/05/2018 Forward-backward algorithm for inverse problems and machine learning
  Dr. Silvia Villa, Politecnico di Milano
• 22/05/2018 Sharp regularity for weak notions of surfaces
  Dr. Antonio De Rosa, Courant Institute, New York, USA
• 29/05/2018 Consistency of probability measure quantization by means of power repulsion-attraction potentials
  Prof. Massimo Fornasier, TUM Monaco
• 5/06/2018 The Cheeger problem and an application to the (constant) Prescribed Mean Curvature problem
  Dr. Giorgio Saracco, Università degli Studi di Pavia
• 5/06/2018 Energy release rate and stress intensity factors in planar elasticity in presence of smooth cracks
  Dr. Stefano Almi, TUM Monaco
• 7/06/2018 Generalized solution concepts to the Ericksen-Leslie equations modeling liquid crystal flow
  Dr. Robert Lasarzik, WIAS Berlino
• 3/07/2018 Rate-independent processes with time-discontinuous data
  Prof. Dorothee Knees, University of Kassel, Germany
• 18/09/2018 From nonlocal to local Cahn-Hilliard equation
  Dr. Lara Trussardi, Universität Wien
• 16/10/2018 Linear and nonlinear diffusion with nonlocal fractional operators
  Prof. Juan Luis Vàzquez
• 23/10/2018 High-order Galerkin method for Helmholtz and Laplace problems on multiple open arcs
  prof. Carlos Jerez-Hanckes - Pontificia Universidad Catolica de Chile
• 23/10/2018 Wiener-type boundary estimates for elliptic and parabolic equations
  Prof. Naian Liao, Chongqing University, Cina
• 13/11/2018 What about nutrient kinetics in a (gliomatous) brain?
  Angelique Perrillat, Poitiers University
• 20/11/2018 Gradient flow formulation of linear Boltzmann equations
  Prof. Lorenzo Bertini, Università di Roma La Sapienza, Roma
• 27/11/2018 Minimisation and Ambrosio-Tortorelli approximation of the Griffith energy with Dirichlet boundary condition
  Dr. Vito Crismale, CMAP, École Polytechnique, Paris.
• 5/12/2018 Stochastic collocation methods for multiparametric eigenvalue problems
  Mikael Laaksonen, Aalto University
• 11/12/2018 A Cahn--Hilliard phase field system arising from tumor growth models in general domains
  Dr. Shunsuke Kurima, Tokyo University of Science
• 18/12/2018 Two-well rigidity and multidimensional sharp-interface limits for solid-solid phase transitions
  Dr. Elisa Davoli, Università di Vienna
• 8/01/2019 Equilibria configurations for epitaxial crystal growth with adatoms
  Dr. Riccardo Cristoferi, Heriot-Watt University, Edinbourgh
• 29/01/2019 Quadrature schemes for isogeometric boundary element method with hierarchical B-splines
  Tadej Kanduč, INdAM c/o Universita` di Firenze
• 12/02/2019 Recent developments for isogeometric methods with hierarchical B-splines
  Rafael Vazquez, EPFL, Lausanne, Svizzera.
• 13/02/2019 Convergence to equilibrium for the equation and dynamic boundary condition of Cahn-Hilliard type and related topics
  Prof. Takeshi Fukao, Kyoto University of Education.
• 22/02/2019 n-width and polynomial splines
  Andrea Bressan, University of Oslo
• 26/02/2019 The measure and the structure of the free boundary in the lower dimensional obstacle problem
  Prof. Matteo Focardi, Università di Firenze
• 12/03/2019 Sobolev and BV estimates for the JKO scheme
  Prof. Filippo Santambrogio, Institut Camille Jordan, Université Claude Bernard - Lyon
• 13/03/2019 Harmonic mappings valued in the Wasserstein space
  Hugo Lavenant, Institut de Mathématique d'Orsay Univ. Paris-Sud
• 26/03/2019 Bilevel optimization, near-optimal variant and application for energy pricing problems
  Mathieu Besançon, Ecole Polytechnique de Montréal.
• 2/04/2019 Electromagnetic fields exposure assessment in uncertain scenarios by stochastic dosimetry
  Emma Chiaramello, CNR-IEIIT
• 9/04/2019 Perspectives and Challenges for Shape Optimisation in Marine Engineering
  Matteo Diez, CNR-INM
• 16/04/2019 Long Time Existence of Solutions to an Elastic Flow of Networks
  Dr. Alessandra Pluda, Università di Pisa
• 7/05/2019 Construction of approximate C1 bases on two-patch domains in isogeometric analysis
  Prof. Pascal Weinmüller, JKU, Linz.
• 7/05/2019 Elasticity and curvature: the elastic energy of non-Euclidean thin bodies
  Cy Maor (University of Toronto)
• 7/05/2019 Metastable regimes of diffusion processes
  Prof. Mauro Mariani, HSE, Mosca.
• 8/05/2019 Extended Galerkin Method
  Jinchao Xu, Penn State University
• 10/05/2019 Scientific Computing and Deep Learning
  Jinchao Xu, Penn State University
• 14/05/2019 Optimal Distributed Control of a Cahn-Hilliard-Darcy System with Mass Sources
  Prof. Juergen Sprekels, Humboldt University and WIAS, Berlin, Germany).
• 14/05/2019 Mathematics of Active Gels: Stability & Traveling Waves
  Leonid Berlyand, Penn State University
• 15/05/2019 Approximate curvatures of a varifold
  Prof. Gian Paolo Leonardi, Università di Trento.
• 21/05/2019 C1 multi-patch discretizations and their application to isogeometric analysis
  Prof. Thomas Takacs, JKU, Linz
• 21/05/2019 Comparative study of multi-class traffic flow models with application to real data
  Maya Briani, IAC-CNR, Roma
• 23/05/2019 Dynamical damage and phase-field fracture models
  Prof. T. Roubicek, Charles University, Prague
• 4/06/2019 A variational approach for water waves
  Prof. Giovanni Leoni, Carnegie Mellon University, Pittsburgh
• 4/06/2019 A homogenization result in the gradient theory of phase transitions
  Prof. Irene Fonseca, Carnegie Mellon University, Pittsburgh
• 5/06/2019 Partizioni di Cheeger: risultati d'esistenza e proprietà qualitative
  Dr. Enea Parini, Université Aix Marseille
• 25/06/2019 The Kirchhoff–Plateau problem
  Dr. Luca Lussardi, Politecnico di Torino.
• 2/07/2019 Concentration versus oscillation effects in brittle damage
  Prof. Jean-François Babadjian, Université Paris Sud
• 17/09/2019 Geometry of 1-codimensional measures in the Heisenberg groups
  Andrea Merlo, SNS Pisa
• 3/10/2019 Nonlocal-to-local asymptotics of viscous Cahn-Hilliard equations with Neumann boundary conditions
  Luca Scarpa, University of Vienna
• 8/10/2019 NLS ground states on metric trees: existence results and open questions
  Simone Dovetta, Politecnico di Torino
• 29/10/2019 Stabilità asintotica per il flusso gradiente di alcune energie non locali
  Prof. Nicola Fusco, Univ. Federico II, Napoli.
• 12/11/2019 PathFinder: A toolbox for highly oscillatory integrals
  Andrew Gibbs, University College London
• 19/11/2019 Explicit error estimates for h-p-k-refinement in isogeometric analysis
  Espen Sande, Roma Tor Vergata
• 26/11/2019 Partial relaxation of C^0 vertex continuity of stresses of conforming mixed finite elements for the elasticity problem
  Rui Ma, Humboldt University
• 26/11/2019 Least Squares Method for Eigenvalue Problem
  Fleurianne Bertrand, Humboldt University
• 10/12/2019 Optimization of noisy blackboxes with adaptive precision
  Pierre Yves Bouchet, Ecole Polytchnique di Montreal
• 19/12/2019 Nonclassical minimizing surfaces with smooth boundary
  Dr. Jonas Hirsch, University of Leipzig
• 14/01/2020 Function approximation with redundancy: stability and applications
  Daan Huybrechs, KU Leuven
• 16/01/2020 Global Harnack Principle for a class of fast diffusion equations
  Nikita Simonov, Universidad Autonoma de Madrid
• 20/01/2020 Numerical Methods with Convergence Rates for the Monge-Ampere Equation
  Prof. Ricardo H. Nochetto, University of Maryland
• 21/01/2020 Multiplicative controllability for nonlinear degenerate parabolic equations
  Dr. Giuseppe Floridia, Università Mediterranea di Reggio Calabria
• 24/01/2020 Structure preserving model order reduction of non-dissipative problems
  Dr. Cecilia Pagliantini, EPFL, Losanna
• 11/02/2020 Stime L^p per gli operatori di Baouendi-Grushin
  Prof. Giorgio Metafune, Università del Salento, Lecce
• 17/03/2020 T.B.A.
  Andrea Manzoni, Politecnico di Milano