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.

Kernel-based active subspaces with application to computational fluid dynamics parametric problems using discontinuous Galerkin method

Romor F, Tezzele M, Lario A, Rozza G. Kernel-based active subspaces with application to computational fluid dynamics parametric problems using discontinuous Galerkin method. International Journal for Numerical Methods in Engineering. 2022 ;123:6000-6027.

Device Accelerated Solvers with PETSc. Current Status, Future Perspectives and Applications

Read more about Device Accelerated Solvers with PETSc. Current Status, Future Perspectives and Applications

Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances

De Ponti N, Farinelli S. Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances. [Internet]. 2022 ;61(4):131. Available from: https://doi.org/10.1007/s00526-022-02240-5

Indeterminacy estimates and the size of nodal sets in singular spaces

Cavalletti F, Farinelli S. Indeterminacy estimates and the size of nodal sets in singular spaces. [Internet]. 2020 . Available from: https://arxiv.org/abs/2011.04409

Rectifiability of the free boundary for varifolds

De Masi L. Rectifiability of the free boundary for varifolds. Indiana Univ. Math. J. 2021 ;70:2603–2651.

AJS - Analysis Junior Seminars 2022-2023

AJS is a series of weekly seminars where one can present a part of their research work which they would like to share. Any topic related to mathematical analysis, either pure or applied, is welcome.

The spirit of the talks is to let young researchers know fields different from their own, stimulating interactions. We want to stress that the seminars can be based both on technical or more divulgative aspects of your studies, with the decision being left to the speaker.

This year AJS is organized by Irene Anello, Ariel Surya Boiardi, Simone Carano, Davide Manini, Pierfrancesco Siena, Daniele Tiberio.

To propose a seminar, just get i touch with the organizers; the talk should take about 40-50 minutes.

Unless otherwise stated, all seminars will be held on Friday at 14:00 in room A-133 in hybrid mode. Each week we will send a reminder and link to join online.

We want to remark that everyone is welcome, even if it is not your field! You can have a look at what is done inside SISSA and outside and get curious :)

Below you can find a list of past and future talks. Recordings of past seminars are available in the dedicated playlist on the SISSA SIAM Student Chapter youtube channel.