A research group in mathematical analysis has been active at SISSA since 1978, the year SISSA was founded. Starting from 2000, the activity of this group has been extended to mathematical modelling and applications.
Research Topics
The activity in mathematical analysis is mainly focused on Dynamical Systems and PDEs, on the Calculus of Variations, on Hyperbolic Conservation Laws and Transport Problems, on Geometric Analysis and on Geometry and Control theory. Connections of these topics with differential geometry and reduced order modeling 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 analysis, mechanics of materials, cell motility and mechano-biology, micromagnetics, modelling of biological systems, computational fluid and solid dynamics 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.
Faculty
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Andrei Agrachev, Professor
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Massimiliano Berti, Professor
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Stefano Bianchini, Professor
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Andrea Braides, Professor
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Gianni Dal Maso, Professor
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Guido De Philippis, Professor
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Antonio De Simone, Professor
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Nicola Gigli, Professor
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Gianluigi Rozza, Professor
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Andrea Cangiani, Associate Professor
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Fabio Cavalletti, Associate Professor
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Luca Heltai, Associate Professor
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Antonio Lerario, Associate Professor
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Alberto Maspero, Associate Professor
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Giovanni Noselli, Associate Professor
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Luca Rizzi, Associate Professor
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Pasquale Claudio Africa, Assistant Professor
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Pavlo Gavrylenko, Assistant Professor
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Michele Girfoglio, Assistant Professor
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Niccolò Tonicello, Assistant Professor
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Sandro Zagatti, Assistant Professor
Former Faculty Members
Former ProfessorsVisiting Professors
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Rodica Toader, Università di Udine
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Andrea Mola, IMT Lucca
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Giovanni Stabile, Visiting Professor
External Collaborators
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Andrea Mondino, University of Warwick
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Karl-Theodor Sturm, University of Bonn
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Luca Biasco, Universita' di Roma 3
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Michela Procesi, Universita' di Roma 3
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Giuseppe Savaré, Università di Pavia
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Massimiliano Morini, Università di Parma
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Francesco Ballarin, Università Cattolica, Brescia
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Shouhei Honda, Tohoku University
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Peter Bürgisser, Technische Universität Berlin
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Luigi Ambrosio, SNS, Pisa
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Saugata Basu, Purdue University
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Nirav Vasant Shah, PhD Student (in cotutela with Univ. of Santiago de Compostela)
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Claudio Altafini, Linköping University
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Shin-ichi Ohta, Kyoto University
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Erik Lundberg, Florida Atlantic University
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Ugo Boscain, Ecole Polytechnique di Parigi
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Giovanni Bellettini, Dipartimento di Ingegneria dell'Informazione e Scienze Matematiche Università di Siena
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Chris Peterson, Colorado State University
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Federico Pichi, External Collaborator
Temporary Scientific Staff
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Kabir Bakhshaei, Postdoc
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Caterina Balzotti, Postdoc
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Guillaume Bonnet, Postdoc
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Valentina Damioli, Postdoc
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Nicolò De Ponti, Postdoc
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Rossella Della Marca, Postdoc
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Nicola Demo, Postdoc
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Matteo Gallone, Postdoc
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Arash Hajasharifi, Postdoc
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Rahul Halder, Postdoc
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Beatrice Langella, Postdoc
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Andrea Martini, Postdoc
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Laura Meneghetti, Postdoc
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Anna Nikishova, Postdoc
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Davide Torlo, Postdoc
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Régis Christian Turuban, Postdoc
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Ruijun Wu, Postdoc
Seminars
Click here to see the seminars of this research group.
Events and Workshops
Click here to see events and workshops organized by this research group.
Publications
Click here to see the publications of this research group.