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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Antonio Ambrosetti, Professor Emeritus
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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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Gianni Dal Maso, Professor
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Antonio De Simone, Professor
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Nicola Gigli, Professor
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Guido De Philippis, Associate Professor
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Gianluigi Rozza, Associate Professor
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Fabio Cavalletti, Assistant Professor
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Luca Heltai, Assistant Professor
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Antonio Lerario, Assistant Professor
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Alessandro Lucantonio, Assistant Professor
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Giovanni Noselli, Assistant Professor
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Sandro Zagatti, Assistant Professor
Visiting Professors
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Rodica Toader, Università di Udine
External Collaborators
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Riccardo Conti, Università Niccolò Cusano (Roma)
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Massimiliano Morini, Università di Parma
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Peter Bürgisser, Technische Universität Berlin
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Saugata Basu, Purdue University
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Alfio Quarteroni, Politecnico di Milano
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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 Universita` di Siena
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Chris Peterson, Colorado State University
Temporary Scientific Staff
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Efthymios Karatzas, Research grant holder (Assegnista)
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Virginia Agostiniani, Postdoc
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Francesco Ballarin, Postdoc
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Giancarlo Cicconofri, Postdoc
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Roberto Feola, Postdoc
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Michele Girfoglio, Postdoc
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Martin Hess, Postdoc
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Jonas Hirsch, Postdoc
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Michele Marini, Postdoc
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Alexander Medvedev, Postdoc
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Andrea Mola, Postdoc
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Alberto Sartori, Postdoc
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Giovanni Stabile, Postdoc
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Marco Tezzele, Postdoc
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Alexander Tyulenev, 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.