People

Faculty

MARIA CRISTINA CARRISI, Assistant Professor
FRANCESCO DEMONTIS, Associate Professor
SALVATORE MIGNEMI, Full Professor
CORNELIS VAN DER MEE, Full Professor

Research Interests

• BLACK HOLES IN HIGHER-DERIVATIVE THEORIES OF GRAVITY
• (EXTENDED) SNYDER AND DE SITTER SPACES IN RELATIVITY THEORY
• EXPLICIT SOLUTIONS OF INTEGRABLE NONLINEAR EVOLUTION EQUATIONS
• INVERSE PROBLEMS IN GEOMETRICAL OPTICS
• INVERSE SCATTERING TRANSFORM FOR SOLVING INTEGRABLE NONLINEAR EVOLUTION EQUATIONS
• NONRELATIVISTIC AND RELATIVISTIC EXTENDED THERMODYNAMICS FOR MONATOMIC AND POLYATOMIC GASES

Events

• Partial Differential Equations in Analysis and Mathematical Physics (PDEAMP), Santa Margherita di Pula, May 30-June 1, 2019
• Nonlinear Evolution Equations and Dynamical Systems (NEEDS 2015), Santa Margherita di Pula, May 24-31, 2015
• Two Days on Applied Mathematics in Cagliari, Cagliari, April 9-10, 2015
• Nonlinear Evolution Equations and Linear Algebra, Cagliari, September 2-5, 2013
• International Conference on Scientific Computing (SC2011), Santa Margherita di Pula, October 10-14, 2011
• 14th International Workshop on Operator Theory and Applications (IWOTA 2003), Cagliari, June 24-27, 2003
• 12th International Conference on Waves and Stability in Continuous Media (WASCOM 2003), Villasimius, June 1-7, 2003

Research Collaborations

• Tuncay Aktosun, University of Texas at Arlington
• Luisa Fermo, University of Cagliari
• Sebastián Franchino-Viñas, University of La Plata, Argentina
• Giulia Gubitosi, University of Naples
• Alfredo Iorio, Charles University, Prague
• Stjepan Meljanac, Institute Ru?jer Boškovi?, Zagreb
• Giovanni Ortenzi, University of Milano-Bicocca
• Anna Pachol, University of South-western Norway, Borre
• Sebastiano Pennisi, University of Cagliari
• Barbara Prinari, University of Buffalo
• Giuseppe Rodriguez, University of Cagliari
• Giacomo Rosati, University of Wroc?aw
• Tommaso Ruggeri, University of Bologna
• Matteo Sommacal, Northumbria University, Newcastle
• Takashi Arima, Tomakomai National College of Technology, Hokkaido

Selected Publications

• Takashi Arima, Maria Cristina Carrisi, Sebastiano Pennisi, and Tommaso Ruggeri, Which moments are appropriate to describe gases with internal structure in Rational Extended Thermodynamics?, International Journal of Non-linear Mechanics 137, article n. 103820 (2021). doi: 10.1016/j.ijnonlinmec.2021.103820
• A. Takashi, M.C. Carrisi, S. Pennisi, and T. Ruggeri, Relativistic rational extended thermodynamics of polyatomic gases with a new hierarchy of moments, Entropy 24(1), 1-30 (2022). doi: 10.3390/e24010043
• M.C. Carrisi, S. Pennisi, and T. Ruggeri, Production terms in relativistic extended thermodynamics of gas with internal structure via a new BGK model, Ann. Phys. (N.Y.) 405, 298-307 (2019). doi: 10.1016/j.aop.2019.03.025
• Francesco Demontis and Cornelis van der Mee, A matrix Schrödinger approach to focusing nonlinear Schrödinger equations with nonvanishing boundary conditions, Journal of Nonlinear Science, online. doi.org/10.1007/s00332-022-09816-7
• Barbara Prinari, Francesco Demontis, Sitai Li, and Theodoros P. Horikis, Inverse scattering transform and soliton solutions for square matrix nonlinear Schrödinger equations with non-zero boundary conditions, Physica D 368, 22-49 (2018). doi: 10.1016/j.physd.2017.12.007
• Francesco Borghero and Francesco Demontis, Three-dimensional inverse problem of geometrical optics: A mathematical comparison between Fermat's principle and the eikonal equation, J. Opt. Soc. Am. A 33(9), 1710-1722 (2016). doi: 10.1364/JOSAA.33.001710
• S. Mignemi, Dyonic black holes in nonlinear electrodynamics from Kaluza–Klein theory with a Gauss–Bonnet term, International Journal of Modern Physics A 37(11n12), 2022. doi: 10.1142/S0217751X22500658
• S. Meljanac and S. Mignemi, Associative realizations of the extended Snyder model, Physical Review D 102(12), 126011 (2020). doi: 10.1103/PhysRevD.102.126011
• S. Mignemi and N. Uras, Noncommutative geometry of the quantum clock, Physics Letters A 383(7), 585-588 (2019). doi: 10.1016/j.physleta.2019.01.002
• Silvia Frassu, Cornelis van der Mee, and Giuseppe Viglialoro, Boundedness in a nonlinear attraction-repulsion Keller-Segel system with production and consumption, Journal of Mathematical Analysis and Applications 504(2), 125428 (2021). doi: 10.1016/j.jmaa.2021.125428
• Barbara Prinari, Alyssa Ortiz, Cornelis van der Mee, and Marek Grabowski, Inverse Scattering Transform and solitons for square matrix nonlinear Schrödinger equations, Studies in Applied Mathematics 141, 308-352 (2018). doi:10.1111/sapm.12223
• Luisa Fermo, Cornelis van der Mee, and Sebastiano Seatzu, A numerical method to compute the scattering solution for the KdV equation, Applied Numerical Mathematics 149, 3-16 (2020). doi:10.1016/j.apnum.2019.07.001

Alumni

• MARIA CRISTINA CARRISI
• PIETRO CONTU
• FRANCESCO DEMONTIS
• MARCO JAVARONE
• MAURIZIO MELIS
• NICOLA PINTUS
• RINA STRAJN

Former Members

• FRANCESCO BORGHERO
• SEBASTIANO PENNISI