# Rita TRACINA'

##### Contacts

**Office:** 312, Dipartimento di Matematica e Informatica blocco I**Email:** tracina@dmi.unict.it**Phone:** 095 7383036

##### Office Hours

Monday from 0930 to 11:00 | Tuesday from 11:30 to 12:30 | Wednesday from 11:00 to 12:30Rita Tracinà is associate professor of Mathematical Physics at the University of Catania. Her teaching activities is at the Faculty of Engineering of the University of Catania. Member of the National (Italian) Group of Mathematical Physics. Her fields of interest are**: e**quivalence transformations, differential invariants of equivalence transformations, symmetry classifications and exact solutions of PDEs, reaction-diffusion systems, hyperbolic systems and nonlinear wave propagation, conservation laws.

**Personal data**

Born in Catania, Italy, on ** **October 26, 1964.

**Educational background:**

Graduate, Master and Phd in Mathematics.

**Current position: **Associate Professor of Mathematical Physics at the University of Catania.

**Principal investigator in projects**

**- **PRA 2012: Equivalence transformations and differential invariants. University of Catania.

- Coordinator “Young Project” of the National (Italian) Group of Mathematical Physics 2008 (GNFM): Tecniche di trasformazione applicate a problemi di diffusione.

- PTR 2017: Metodi gruppali e umbrali per equazioni di diffusion e trasporto. University of Catania.

- FFABR 2017.

**Guest editor of the following special issue: **

- "Recent Advances in Symmetry Groups and Conservation Laws for Partial Differential Equations and Applications," Abstract and Applied Analysis, vol. 2014, Article ID 457145, 2 pages, doi:10.1155/2014/457145, 2014.

- “Recent Advances in Symmetry Analysis and Exact Solutions in Nonlinear Mathematical Physics”, Advances in Mathematical Physics, vol. 2017, Article ID 8325854, 2 pages, 2017.

- "Symmetry and Equivalence Transformations:Theory and Their Applications to Real Phenomena Modeling", Symmetry (nessun articolo).

- “Conservation Laws and Symmetries of Differential Equations", Symmetry, 2020

- “Symmetry methods and numerical methods: theory and applications to Biology and Science of the Life Modeling”, Mathematical Biosciences and Engineering, 2021.

- "Symmetry Methods and Applications for Nonlinear Partial Differential Equations", *Mathematics*. 2021/2022

**Organization of international events in the last years**

- “Qualitative and Quantitative Techniques for Differential Equations arising in Economics, Finance and Natural Sciences “ in “12th AIMS Conference on Dynamical Systems, Differential Equations and Applications”, Taipei, Taiwan, 5-9 Luglio 2018.
- “V symposium on symmetry methods and their applications to differential equations” in “16th International Conference of Numerical Analysis and Applied Mathematics”, Rhodes, Grecia, 13-18 Settembre 2018.
- “VI symposium on symmetry methods and applications for differential equations” in “17th International Conference of Numerical Analysis and Applied Mathematics”, Rhodes, Greece, September 23-28, 2019.
- “VII symposium on symmetry methods and applications for differential equations” in “18th International Conference of Numerical Analysis and Applied Mathematics”, Rhodes, Greece, September 17-23, 2020.
- “VIII symposium on symmetry methods and applications for differential equations” in “19th International Conference of Numerical Analysis and Applied Mathematics”, Rhodes, Greece, September 20-26, 2021.
- “IX symposium on symmetry methods and applications for differential equations” in “20th International Conference of Numerical Analysis and Applied Mathematics”, Heraklion, Crete, Greece, September 19-25, 2022.

**Conferences in the last years**

- 15
^{th}International Conference of Numerical Analysis and Applied Mathematics”, Thessaloniki (Grecia) 25-30 Settembre 2017. Ninth Workshop Group Analysis of Differential Equations and Integrable Systems, Larnaca (Cipro), 10-14 Giugno 2018. - Ninth Workshop Group Analysis of Differential Equations and Integrable Systems, Larnaca (Cyprus), June 10-14, 2018.
- 16th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece, September 13-18, 2018.
- 12
^{th}International Conference on Scientific Computing in Electrical Engineering, Taormina, Italy, September 23-27, 2018. - Scientific conference of the G.N.F.M. – Montecatini Terme, October 4-6, 2018.
- “Potential symmetries of a class of nonlinear third order PDEs”, VII Jornadas Doctorales del Programa de Doctorado en Matemáticas, 8-16 november 2021, University of Cadiz.
- Scientific conference of the G.N.F.M. – Montecatini Terme, May 5-7, 2022.
- “Equivalence transformations for a class of advection-reaction-diffusion systems” 20th International Conference of Numerical Analysis and Applied Mathematics”, Heraklion, Crete, Greece, September 19-25, 2022.

**Reviewer for the following journals: **Advances in Mathematical Physics; Applied Mathematics and Computation; Applied Mathematics Letters; Axioms; Chaos, Solitons & Fractals; Communications in Nonlinear Science and Numerical Simulations; International Journal of Differential Equations; Journal of Applied Mathematics; Journal of Physics A: Mathematical and Theoretical; Mathematical Methods in the Applied Sciences; Nonlinear Analysis: Real World Applications; Symmetry; Zeitschrift für Naturforschung A; Journal of Engineering Mathematics; Symmetry; Mathematics.

** Teaching activities:** at the Faculty of Engineering of the University of Catania, she holds courses of Rational Mechanics and Mathematical analysis. She held also the courses of Mathematical and statistical methods, Applied Mathematics and Mathematical Physics.

**Fields of interest: **Equivalence transformations, Differential invariants of equivalence transformations, Symmetry classifications and exact solutions of PDEs, Hyperbolic systems and nonlinear wave propagation, Models of semiconductors, Conservation laws.

Last edit: 12/19/2022

**N.B.**the number of publications can affect the loading time of the information

##### Academic Year 2021/2022

- DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE

Master's Degree in Architecture and Building Engineering - 1^{st}Year**METODI ANALITICI PER L'INGEGNERIA I** - DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE

Bachelor's Degree in Civil, Environmental and Management Engineering - 2^{nd}Year**MECCANICA RAZIONALE**

##### Academic Year 2020/2021

- DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE

Master's Degree in Architecture and Building Engineering - 1^{st}Year**METODI ANALITICI PER L'INGEGNERIA I** - DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE

Master's Degree in Architecture and Building Engineering - 2^{nd}Year**RATIONAL MECHANICS**

##### Academic Year 2019/2020

- DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE

Master's Degree in Architecture and Building Engineering - 1^{st}Year**METODI ANALITICI PER L'INGEGNERIA I** - DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE

Master's Degree in Architecture and Building Engineering - 2^{nd}Year**RATIONAL MECHANICS**

##### Academic Year 2018/2019

- DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE

Master's Degree in Building Construction - 1^{st}Year**METODI ANALITICI PER L'INGEGNERIA I** - DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE

Master's Degree in Building Construction - 2^{nd}Year**RATIONAL MECHANICS**

##### Academic Year 2017/2018

- DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE

Master's Degree in Building Construction - 2^{nd}Year**RATIONAL MECHANICS**

##### Academic Year 2016/2017

- DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE

Master's Degree in Building Construction - 2^{nd}Year**RATIONAL MECHANICS**

##### Academic Year 2015/2016

- DEPARTMENT OF CIVIL ENGINEERING AND ARCHITECTURE

Master's Degree in Building Construction - 2^{nd}Year**RATIONAL MECHANICS**

Fields of interest

Equivalence transformations, Differential invariants of equivalence transformations, Symmetry classifications and exact solutions of PDEs, Hyperbolic systems and nonlinear wave propagation, Models of semiconductors, Conservation laws.