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.

Applicable Methodologies for the Mass Transfer Phenomenon in Tumble Dryers: A Review

Salavatidezfouli S, Hajisharifi A, Girfoglio M, Stabile G, Rozza G. Applicable Methodologies for the Mass Transfer Phenomenon in Tumble Dryers: A Review. arXiv preprint arXiv:2304.03533. 2023 .

Computations for Sustainability

Salavatidezfouli S, Nikishova A, Torlo D, Teruzzi M, Rozza G. Computations for Sustainability. In: Quantitative Sustainability: Interdisciplinary Research for Sustainable Development Goals. Quantitative Sustainability: Interdisciplinary Research for Sustainable Development Goals. Springer International Publishing Cham; 2024. pp. 91–110.

Mesh-Informed Reduced Order Models for Aneurysm Rupture Risk Prediction

D'Inverno GAlessio, Moradizadeh S, Salavatidezfouli S, Africa PClaudio, Rozza G. Mesh-Informed Reduced Order Models for Aneurysm Rupture Risk Prediction. arXiv preprint arXiv:2410.03802. 2024 .

A predictive surrogate model for heat transfer of an impinging jet on a concave surface

Salavatidezfouli S, Rakhsha S, Sheidani A, Stabile G, Rozza G. A predictive surrogate model for heat transfer of an impinging jet on a concave surface. arXiv preprint arXiv:2402.10641. 2024 .

Modal Analysis of the Wake Shed Behind a Horizontal Axis Wind Turbine with Flexible Blades

Salavatidezfouli S, Sheidani A, Bakhshaei K, Safari A, Hajisharifi A, Stabile G, Rozza G. Modal Analysis of the Wake Shed Behind a Horizontal Axis Wind Turbine with Flexible Blades. Journal of Applied and Computational Mechanics [Internet]. 2024 :-. Available from: https://jacm.scu.ac.ir/article_19435.html

Deep reinforcement learning for the heat transfer control of pulsating impinging jets

Salavatidezfouli S, Stabile G, Rozza G. Deep reinforcement learning for the heat transfer control of pulsating impinging jets. arXiv preprint arXiv:2309.13955. 2023 .

Effect of particle aspect ratio in targeted drug delivery in abdominal aortic aneurysm

Salavatidezfouli S, Barzegar S, Sheidani A, Hajisharifi A, Girfoglio M, Stabile G, Rozza G. Effect of particle aspect ratio in targeted drug delivery in abdominal aortic aneurysm. European Journal of Mechanics-B/Fluids. 2024 ;106:181–196.

Assessment of URANS and LES methods in predicting wake shed behind a vertical axis wind turbine

Sheidani A, Salavatidezfouli S, Stabile G, Rozza G. Assessment of URANS and LES methods in predicting wake shed behind a vertical axis wind turbine. Journal of Wind Engineering and Industrial Aerodynamics. 2023 ;232:105285.

Assessment of icing effects on the wake shed behind a vertical axis wind turbine

Sheidani A, Salavatidezfouli S, Stabile G, Gerdroodbary MBarzegar, Rozza G. Assessment of icing effects on the wake shed behind a vertical axis wind turbine. Physics of Fluids. 2023 ;35.

Regularity theory for geometric variational problems

The course will focus on the partial regularity theory for Lambda-minimisers of the perimeter and its application to geometric variational problems. As time permits, also the study of the singular set will be addressed.

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Mathematics