The group
The Mathematical Physics Group at University of Brescia is active from about thirty years. The members have participated and participate in various national and international research projects, have had and still have collaborations with various national and international research groups. The group is active in the participation and organization of national and international conferences, in the third mission through the organization of cultural events for schools and in science dissemination. The extension of the research topics promises a strong capacity and possibility of development in the sector in the near future.
Research activity
The research activity of the Mathematical Physics Group is addressed to the modeling of complex systems (physical, chemical, and biological) and materials of interest in applications, jointly with the study of differential, integral and integro-differential equations governing their evolution.
The main research topics of the Group include:
- mathematical modeling of complex systems, including well-posedness, stability controllability and long-time behavior of nonlinear systems describing phase transition phenomena, contact and transmission problems, materials with memory,
- dynamical systems and integrable/solvable models, including the construction of Backlund transformations and their applications for systems of ordinary differential equations,
- properties and applications of special functions of Mathematical Physics, including the distribution of poles and zeros, series expansions, connection formulae.
Keywords
- Mathematical Physics,
- Nonlinear systems,
- Thermodynamics
- Phase transitions,
- Suspension bridge equations,
- Materials with memory,
- Thermo-viscoelastic materials,
- Pin-fins,
- Special functions,
- Integrable and solvable models.
ERC sectors
- PE1_12 Mathematical Physics
- PE1_10 ODE and dynamical systems
- PE1_11 Theoretical aspects of partial differential equations
- PE1_20 Application of mathematics in sciences
- PE1_21 Application of mathematics in industry and society
- PE2_14 Thermodynamics
- PE2_15 Non-linear physics
- PE3_5 Physical properties of semiconductors and insulators.
People
Claudio Giorgi
Maria Grazia Naso
Elena Vuk
Federico Zullo
Websites
Link to the website of the group on Mathematical Physics
Link to the webpage of the group on the site expertise.unibs.it