Mathematical Physics

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

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

 

Questionnaire and social

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