Prof. Tommaso Ruggeri

Emeritus Professor of Mathematical Physics - University of Bologna

Department of Mathematics and Alma Mater Research Center on Applied Mathematics - AM^2

National Member of the Accademia Nazionale dei Lincei

MAE - Member of the Academia Europaea

Member of European Academy of Sciences and Arts

Member of European Academy of Sciences (EurASc)

Accademico Benedettino of the Accademia delle Scienze dell'Istituto di Bologna

National Member of the Accademia di Scienze Fisiche e Matematiche di Napoli

Member of the Accademia Peloritana dei Pericolanti

Curriculum Vitae

tel: +39 051 209 3973 - e-mail : mailto:tommaso.ruggeri@unibo.it

Teaching Activity;

Scientific Activity

Matlab and Mathematical Physics

Maple and Calculus

Attività Didattica

Orario di Ricevimento: Giovedì 11.30-13.00 presso il Centro AM^2 (ex CIRAM).

Programma dei corsi:

Fisica Matematica e trattamento Statistico delle Osservazioni M

Software per la didattica:

Realizzazione ed utilizzo di software matematico per la ricerca e la didattica in Fisica Matematica con l'ausilio anche di noti pacchetti di software quali matlab, maple, mathematica
Matlab and Mathematical Physics
Maple and Calculus

Pubblicazioni didattiche:

Richiami di Calcolo Vettoriale e Matriciale, Ed. Pitagora, Bologna (1989);
Laboratorio di Matematica - Primo Corso [con software accluso]. In collaborazione con S. Matarasso. Ed. Esculapio, Bologna (1990);
Laboratorio di Meccanica Razionale [con software accluso]. In collaborazione con A. Muracchini e L. Seccia. Ed. Esculapio, Bologna (1991);
Didattica Matematica con L'Ausilio del Personal Computer. A cura di R. Guidorzi e T. Ruggeri. Centro di Calcolo della Facoltà di Ingegneria e Centro Interdipartimentale per la Ricerca e per le Applicazioni della Matematica. Università di Bologna. Ed. Tecnoprint (1992);
Dispense di Analisi Matematica II con l'Utilizzo di Software Matematico. Vol. 1. Con Software accluso. In collaborazione con S. Matarasso. Ed. Esculapio, Bologna (1993);
Dispense di Analisi Matematica II con l'Utilizzo di Software Matematico. Vol. 5. Con Software accluso. In collaborazione con S. Matarasso. Ed. Esculapio, Bologna (1994);
Alcune Esperienze con MATLAB nella Ricerca e Didattica in Fisica Matematica. Atti del Convegno "MATLAB: Il mondo numerico incontra il mondo reale" svolto a Bologna il 14 Ottobre 1994, Teoresi (1995);
Analisi Matematica 2: Calcolo Differenziale. Seconda Edizione. In collaborazione con S. Matarasso. Ed. Esculapio, Bologna (1996);
Esercizi e Temi d'esame di Meccanica Razionale, Seconda Edizione. In collaborazione con A. Muracchini e L. Seccia. Ed. Esculapio, Bologna (1997);
Esercizi e Temi d'esame di Meccanica Razionale per i corsi di Laurea triennale in Ingegneria. In collaborazione con A. Muracchini e L. Seccia. Ed. Esculapio, Bologna (2005);
Meccanica Razionale per l'Ingegneria. In collaborazione con P. Biscari, G. Saccomandi, M. Vianello. Ed. Monduzzi, Bologna (2005) [indice];
Introduzione alla Termomeccanica dei Continui. Ed. Monduzzi (2007) [prefazione] [indice] [errata corrige][eqz.11.36]
Esercizi e Temi d'esame di Meccanica Razionale, In collaborazione con F. Brini, A. Muracchini e L. Seccia. Ed. Esculapio, Bologna (2019).
Meccanica Razionale. In con P. Biscari, G. Saccomandi, M. Vianello.Springer (La 4 edizione (2022).

NEW BOOKS

A. Muracchini, T. Ruggeri and L. Seccia

Scientific Activity

Main fields of interest:

Non Linear Wave Propagation and Hyperbolic Systems;
Non Equilibrium Thermodynamics.

Books:

Extended Thermodynamics. Jointly with I. Müller, Springer Tracts in Natural Philosophy, Vol. 37, pp. 231, Ed. Springer Verlag (1993).
Rational Extended Thermodynamics. Jointly with I. Müller, Springer Tracts in Natural Philosophy, Vol. 37, 2nd Edition, pp. 393, Ed. Springer Verlag (1998).

Rational Extended Thermodynamics beyond the Monatomic Gas. Jointly with M. Sugiyama, Springer Verlag (2015).

Book Ruggeri Sugiyama

Classical and Relativstic Rational Extended Thermodynamics of Gases. Jointly with M. Sugiyama, Springer Verlag (2021).

New_book NEW BOOK

Monographs:

Propagazione Ondosa. Lecture Notes of the VI Summer School Fisica Matematica (CNR) Ravello, September 1981. Internal Report of the Applied Mathematical Institute of University of Bologna (1981).

Propagazione del Calore ed Equazioni Costitutive. Lecture Notes of 8a Summer School Fisica Matematica (CNR) Ravello - September 1983. Jointly with A. Morro. Quaderno C.N.R. p.166; Pitagora-Tecnoprint, Bologna (1984).

Recent Results on Wave Propagation in Continuum Models. In Stability and Wave Propagation in Fluids and Solids, G.P. Galdi, Ed. CISM Course and Lecture n. 344, pp. 105-154, Springer-Verlag (1995).

Chapters in Books

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Scientific Editor:

Lecture Notes of the Italian-Polish Meeting on Selected Problems of Modern Continuum Theory. Bologna 3-6 Giugno 1987. T. Manacorda, A. Morro, W.Kosinski and T.Ruggeri Eds. Pitagora Tecnoprint Bologna (1987).
ISIMM Symposium on Kinetic Theory and Extended Thermodynamics. Bologna (Maggio 1987). Ed. I. Müller and T. Ruggeri, Ed. Pitagora Tecnoprint (1987).

7th Conference on Waves and Stability in Continuous Media. S. Rionero and T. Ruggeri Eds. Series in Advances in Mathematics for Applied Sciences - Vol. 23, pp. 429, World Scientific, Singapore (1994).

Recent Mathematical Methods in Nonlinear Wave Propagation. CIME Course 1994, T. Ruggeri Ed., Lecture Notes in Mathematics Vol. 1640, Springer-Verlag (1996).

Proceedings of the 12th Conference of Waves and Stability in Continuous Media (WASCOM 2003), Eds. R. Monaco, S. Pennisi, S. Rionero, T. Ruggeri. World Scientific, Singapore (2004).

Proceedings of the International Conference in honour of Y. Choquet-Bruhat: Analysis, Manifolds and Geometric Structures in Physics, Elba (Italy); June 24-26, 2004 (2005).

Proceedings of the 13th Conference of Waves and Stability in Continuous Media (WASCOM 2005), Eds. R. Monaco, G. Mulone, S. Rionero, T. Ruggeri. World Scientific, Singapore (2006).

Supplemento ai Rendiconti del Circolo Matematico di Palermo, serie II, Numero 78 "Non Linear Hyperbolic Fields and Waves - A tribute to Guy Boillat" (2006).

Proceedings of the Workshop "Asymptotic Methods in Non-linear Wave Phenomena - In Honor of the 65th birthday of Antonio Greco" (2007).

Proceedings of the 15th Conference of Waves and Stability in Continuous Media (WASCOM 2009), Eds. A.M: Greco, S. Rionero, T. Ruggeri. World Scientific, Singapore (2010).

Associate Editor:

Continuum Mechanics and Thermodynamics -Springer Verlag (1989-2006)
Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali - Rendiconti Lincei: Matematica e Applicazioni - European Mathematical Society (EMS) (since 1999)

Ricerche di Matematica - Springer Verlag (since 2005)

Bollettino dell'Unione Matematica Italiana (BUMI) (2007-2013)

Le Matematiche (since 2016)

International Journal of Non-Linear Mechanics (2011-2018 and since 2022)

Entropy (since 2020)

Philosophical Transactions of the Royal Society A (since 2023)

Recent Papers: (click here for the full Bibliography):

2017

A thermodynamic consistent model for emergent behavior in Flocks and comparison with multitemperature mixture of fluids, In coll. with S-Y. Ha. Arch. Rational Mech. Anal. 223, 1397–1425 (2017)
Relativistic Extended Thermodynamics of Rarefied Polyatomic Gases. In Coll. with S. Pennisi. Annals of Physics, 373, 414--445 (2017).
Duality Principle from rarefied to dense gas and Exteded Thermodynamics with 6 fields. In Coll. with T. Arima, M. Sugiyama. Physical review Fluids, 2, 013401 (2017) (2017).
Symmetric form for the hyperbolic-parabolic system of fourth-gradient model for fluids. In Coll. with H. Gouin. Ricerche mat. DOI 10.1007/s11587-016-0315-7(2017).
Galilean Invariance and Entropy Principle for a System of Balance Laws of Mixture Type. In Coll. with T. Arima, M. Sugiyama and S. Taniguchi. Rend. Lincei Mat. Appl. 28 (2017) 495–513 (2017).
Rational Extended Thermodynamics of a Rarefied Polyatomic Gas with Molecular Relaxation Processes. In Coll. with T. Arima, M. Sugiyama. Phys Rev E 96, 042143-1, 042143-20 (2017).
New Frontiers in Non-Equilibrium Thermodynamics. Lecture Notes Frontiere. Accademia Nazionale dei Lincei (29-30 Gennaio 2015). Atti dei Convegni Lincei 314 - 49-71 - Bardi Edizione (2017).

2018

Dynamical pressure in a polyatomic gas: interplay between kinetic theory and extended thermodynamics. In Coll. with M. Bisi and G. Spiga. Kinetic and related Models 11, (1), 71–95 (2018).
On the sub-shock formation in extended thermodynamics. In Coll. with S. Taniguchi. International Journal of Non-Linear Mechanics 99 69–78 (2018).
A Global Existence of classical solutions to the Hydrodynamics Cucker-Smale model in presence of a Temperature Field. In Coll. with S-Y. HA, J. KIM, C. HO MIN, AND X. ZHANG, Analysis and Applications (2018).
Emergent Behaviors of Thermodynamic Cucker-Smale Particles. In Coll. with S-Y. Ha and J. Kim. SIAM J. Math Anal. (2018).
Extended Thermodynamics of Rarefied Polyatomic Gases: 15-Field Theory Incorporating Relaxation Processes of Molecular Rotation and Vibration. In Coll. with T. Arima, M. Sugiyama. Entropy 20, 301; doi:10.3390/e20040301 (2018).
Shock wave structure in rarefied polyatomic gases with large relaxation time for the dynamic pressure. In Coll. with T. Arima, M. Sugiyama and S. Taniguchi. J. Phys.: Conf. Ser. 1035 012009 (2018).
A New BGK Model for Relativistic Kinetic Theory of Monatomic and Polyatomic Gases. In Coll. with S. Pennisi, J. Phys.: Conf. Ser. 1035 012005 (2018).
Ultrarelativistic limit of a Rarefied Gas with Internal Structure. In Coll. with S. Pennisi. Journal of Mathematical Physics 59, 043102 (2018).
Monatomic Limit of Relativistic Extended Thermodynamics of Polyatomic Gas. In Coll. with Maria Cristina and S. Pennisi. Continuum Mech. Thermodyn. https://doi.org/10.1007/s00161-018-0694-y (2018).
Fluid Mixtures in Nanotubes. In Coll. with H. Gouin and A. Muracchini. Physical Review E 97, 062152 (2018).
Uniform Stability and Mean-Field limit of Thermodynamics Cucker-Smale Model. In Coll. with S-Y. HA, J. KIM, C. HO MIN, and X. ZHANG, Quartely of Applied MAathematicshttps://doi.org/10.1090/qam/1517. Article electronically published on September 5, (2018).
Molecular Extended Thermodynamics of a Rarefied Polyatomic Gas. in Trends un Applications of Mathematics to Mechanics, Editors E. Rocca, U. Stefanelli, L. Truskinocski and A. Visintin. Springer INDAM Series 27, 265-287 (2018).

2019

Integrability properties for relativistic extended thermodynamics of polyatomic gas. In Coll. with Maria Cristina and S. Pennisi. Ricerche mat. 68:57–73, (2019).
A 2 × 2 simple model in which the sub-shock exists when the shock velocity is slower than the maximum characteristic velocity. In Coll. with S. Taniguchi. Ricerche mat. 68:119–129 (2019).
Second Order Approximation of Extended Thermodynamics of a Monatomic Gas and Hyperbolicity Region. In Coll. with F. Brini, Continuum Mech. Thermodyn. https://doi.org/10.1007/s00161-019-00778-y (2019).
Production Terms in Relativistic Extended Thermodynamics of Gas with Internal Structure via a New BGK Model. In Coll. with M.C. Carrisi and S. Pennisi. Annals of Physics 405, 298–307 (2019).
Similarity Solution of Strong Spherical Shock Waves in a Rarefied Polyatomic Gas based on Extended Thermodynamics. In Coll. R. Nagaoka and S. Taniguchi. AIP Conference Proceedings 2153, 020014, https://doi.org/10.1063/1.5125079, (2019).
Shock Waves in Hyperbolic Systems of Non-Equilibrium Thermodynamics. In Coll. with S. Taniguchi. Applied Wave Mathematics II. Volume dedicated to Juri Engelbrecht on his 80th birthday, Mathematics of Planet Earth 6, Chapter 8, 167-186 (Springer, 2019).

2020

From the Relativistic Mixture of Gases to the Relativistic Thermomechanical Cucker-Smale Flocking. In Coll. with S-Y. HA, J. KIM, Arch. Rational Mech. Anal., 235, 1661–1706 (2020).
Second Order Approximation of Extended Thermodynamics of a Monatomic Gas and Hyperbolicity Region. In Coll. with F. Brini, Continuum Mech. Thermodyn. 32, 23–39 (2020)
On Invariance in 1+1-Dimensional Isentropic Relativistic Gasdynamics, In Coll. with C. Rogers, Wave Motion 94, 102527 (2020).
Rational extended thermodynamics: a link between kinetic theory and continuum theory. In Coll. with M. Sugiyama. Rendiconti Lincei. Scienze Fisiche e Naturali 31, 33–38(2020).
Classical limit of relativistic moments associated with Boltz mann Chernikov equation: optimal choice of moments in classical theory. In Coll. S. Pennisi. Journal of Statistical Physics. 179, 231–246(2020).
Rational Extended Thermodynamics of Dense Polyatomic Gases Incorporating Molecular Rotation and Vibration. In Coll. with T. Arima, M. Sugiyama. Phil. Trans. R. Soc. A 378: 20190176. http://dx.doi.org/10.1098/rsta.2019.0176 (2020).
Classical and ultrarelativistic limits of the Riemann problem for the relativistic Euler fluid with Synge energy. In Coll. with Q. Xiao, Ricerche di Matematica https://doi.org/10.1007/s11587-020-00502-y (2020).
Maximum Entropy Principe Closure for 14-Moment System for a Non-Polytropic Gas. Ricerche di Matematica https://doi.org/10.1007/s11587-020-00510-y (2020).
Hyperbolicity of first and second order extended thermodynamics theory of polyatomic rarefied gases. In Coll. with F. Brini. International Journal of Non-Linear Mechanics 124, 103517 (2020).
Rational Extended Themrodynamics of Dense Polyatomic Gases Incorporating Molecular Rotation and Vibration. In Coll. with T. Arima, M. Sugiyama. Philosophical Transaction A. https://doi.org/10.1098/rsta.2019.0176 (2020).
Emergent Behaviors of Thermodynamic Kuramoto Ensemble on a Regular Ring Lattice. In Coll.with S-Y Ha, H.Park and W. Shim. Journal of Statistical Physics 181, 917–943 (2020).
The explicit closure for the ultrarelativistic limit or Extended Thermodynamcs of Rarefied Polyatomic Gas. In Coll. with S. Pennisi. Technium Vol. 2, Issue 5 pp.11-42 ISSN: 2668-778X www.techniumscience.com (2020)
On relativistic gasdynamics. Invariance under a class or reciprocal-type transformations and integrable Heisenberg spin connections. In Coll. with C. Rogers and W.K. Schief. Proceedings of the Royal Society A, https://doi.org/10.1098/rspa.2020.0487 (2020).

2021

Nonlinear Hyperbolic Waves in Relativistic Gases of Massive Particles with Synge Energy. In Coll. with Q. Xiao, and H. Zhao, Arch Rat. Mech. Anal. 239, 1061-1109 (2021).
Shock Structure in Extended Thermodynamics with Second Order Maximum Entropy Principle Closure. In Coll. with A. Mentrelli. Continuum Mech. Thermodyn. 33, 125–150 (2021).
Molecular Extended Thermodynamics of Rarefied Polyatomic Gases with a new Hierarchy of Moments. In Coll. with T. Arima. Fluids 6(2), 62 (2021).
Uniform Stability and Uniform-In-Time Mean-Field Limit Of The Thermodynamic Kuramoto Model. In Coll. with S.-Y. Ha, M. Kang, H. Park and W. Shim. Quarterly of Applied Mathematics. https:/doi.org/10.1090/qam/1588 (2021).
Maxwellian Iteration of a Causal Relativistic Model of Polyatomic Gases and evaluation of Bulk, Shear viscosity and Heat conductivity. In Coll. with M.C Carris and S. Pennisi, Ann. of Phys. 428, 168477 (2021).
Emergent behaviors of the continuum thermodynamic Kuramoto model in a large coupling regime. In Coll. with S.-Y. Ha, M. Kang, H. Park and W. Shim. Journal of Differential Equations 300 519–564 (2021).
Kinetic and Hydrodynamic Models for the Relativistic Cucker-Smale Ensemble and Emergent Behaviors. In Coll. with S.-Y. Ha and J. Kim. Commun. Math. Sci. International Press Vol. 19, No. 7, pp. 1945–1990 (2021).
Sub-shock formation in shock structure of a binary mixture of polyatomic gases. In Coll. with S. Taniguchi. Rend. Lincei Mat. Appl. 32, 167–179 (2021).
Which moments are appropriate to desribe gases with internla structure in Rational Extended Thermodynamics? In Coll. with T. Arima, M.C. Carrisi and S . Pennisi. International Journal of Non-Linear Mechanics 137, 103820 (2021).

2022

Relativistic Rational Extended Thermodynamics of Polyatomic Gases with a new hierarchy of Moments. In Coll. with T. Arima, M.C. Carrisi and S . Pennisi. Entropy 24, 43 (2022).
On a Relativistic BGK model for Polyatomic Gases near Equilibrium. In Coll. with B-H Hwang and S-B Yun. Siam J. Math. Anal. 54, (3), 2906-2947 (2022).
Relativistic Kinetic Theory of Polyatomic Gases: Classical Limit of a New Hierarchy of Moments and Qualitative Analysis. In Coll. with T. Arima, M.C. Carrisi and S . Pennisi. Partial Differ. Equ. Appl. 3, 39 (2022)
A complete classification of sub-shocks in the shock structure of a binary mixture of Eulerian gases with different degrees of freedom. In Coll. with S. Taniguchi. Phys. Fluids 34, 066116 (2022)

2023

Navier-Stokes-Fourier equations as a parabolic limit of a general hyperbolic system of rational extended thermodynamics. In Coll. with T. Arima, A. Mentrelli. Int. Journ. of non-linear Mech. 151, 104379 (2023).
263. Shock Structure and sub-schocks formation in a mixture of polyatomic gases with large Bulk Viscosity. In Coll. with S. Taniguchi. Ricerche di Matematica. https://doi.org/10.1007/s11587-023-00788-8 (2023).
264. Eckart equations, Maxwellian iteration and Relativistic Causal Theories of Divergence type. Phil. Trans. R. Soc. A 381: 20220371. https://doi.org/10.1098/rsta.2022.0371 (2023).
265. Effect of the dynamic pressure on the shock structure and sub-shocks formation in a mixture of polyatomic gases. In Coll. with S. Taniguchi. Communications on Applied Mathematics and Computation https://doi.org/10.1007/s42967-023-00320-7 (2023).

2024

266. A Nonlinear approach to Viscoelasticity via Rational Extended Thermodynamics, International Journal of Non–Linear Mechanics 160 (2024) 104658
267 Energy of a non-linear viscoelastic model compatible with fractional relaxation. In coll. with A. Giusti and A. Mentrelli, International Journal of Non–Linear Mechanics 161 (2024) 104685
268. A Novel ES-BGK model for Non-Polytropic gases with internal state density independent of the temperature. In coll. with T. Arima and A. Mentrelli. J. Stat. Phys. 191, 95 (2024).

269. On the comparison between phenomenological and kinetic theories of gas mixtures with applications to flocking. In coll. with G.-C. Bae, S.-Y. Ha, G. Hwang. Physica D: Nonlinear Phenomena 469, 134321 (2024).

Hobbies:

(2024