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 analysis, mechanics of materials, micromagnetics, modelling 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.

Homogenization of integral energies in the context of A-quasiconvexity with variable coefficients

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The wave equation on domains with cracks growing on a prescribed path: existence, uniqueness, and continuous dependence on the data

Dal Maso G, Lucardesi I. The wave equation on domains with cracks growing on a prescribed path: existence, uniqueness, and continuous dependence on the data.; 2015. Available from: http://urania.sissa.it/xmlui/handle/1963/34629

Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization

Ballarin F, Faggiano E, Ippolito S, Manzoni A, Quarteroni A, Rozza G, Scrofani R. Fast simulations of patient-specific haemodynamics of coronary artery bypass grafts based on a POD-Galerkin method and a vascular shape parametrization.; 2015. Available from: http://urania.sissa.it/xmlui/handle/1963/34623

Dynamics of Hamiltonian PDEs

The plan of the course is to study the complex dynamics of the NLS equation on T^2, focusing on both chaotic and regular behavior.
The first part of the course will be dedicated to an overview of Birkhof normal form and reducibility results for vector fields on
scales of Hilbert spaces. Then we shall discuss the existence of Cantor families of quasi-periodic solutions, both linearly stable and unastable.

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Presentation of the Mathematical Analysis, Modelling, and Applications PhD courses

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Quasi-static crack growth in hydraulic fracture

Almi S, Dal Maso G, Toader R. Quasi-static crack growth in hydraulic fracture. Nonlinear Analysis [Internet]. 2014 ;109(Nov):301-318. Available from: http://hdl.handle.net/20.500.11767/17350

Mathematical Models of Locomotion: Legged Crawling, Snake-like Motility, and Flagellar Swimming

Cicconofri G. Mathematical Models of Locomotion: Legged Crawling, Snake-like Motility, and Flagellar Swimming. 2015 .

INDAM-GNCS Tecniche di riduzione computazionale per problemi di fluidodinamica e interazione fluidostruttura

Project between SISSA, Politecnico di Torino, Universita' di Pavia and Brescia

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Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system

Martini I, Rozza G, Haasdonk B. Reduced basis approximation and a-posteriori error estimation for the coupled Stokes-Darcy system. Advances in Computational Mathematics. 2015 ;special issue for MoRePaS 2012(in press).

https://urania.sissa.it/xmlui/handle/1963/34493

SISSA SIAM Student Chapter

SISSA hosts a SIAM Student Chapter. Activities started in September 2015. Petition has been approved by SIAM on July 21, 2015. Rules of Procedures have been approved by SIAM Board of Trustees on September 17, 2015. Mathematics Area Council endorsed the initiave on September 14, 2015. To join the chapter contact the current officers. After joining you have several benefits from SIAM.

You can find more information about our chapter on our website.

Current Officers:

2025-2026

Isabella Carla Gonnella, Chapter President

Mustafa Ramadan, Chapter Vice-President

Filippo Olivo, Chapter Secretary

Guglielmo Padula, Chapter webmaster

Lorenzo Tomada, Chapter Treasurer

Current activities: