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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Giovanni Noselli, Associate Professor
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Luca Rizzi, Associate Professor
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Michele Girfoglio, Assistant Professor
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Alberto Maspero, Assistant Professor
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Giovanni Stabile, Assistant Professor
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Sandro Zagatti, Assistant Professor