• Article  

      Conservation laws and hierarchies of potential symmetries for certain diffusion equations 

      Ivanova, Nataliya M.; Popovych, R. O.; Sophocleous, Christodoulos; Vaneeva, Olena O. (2009)
      We show that the so-called hidden potential symmetries considered in a recent paper [M.L. Gandarias, New potential symmetries for some evolution equations, Physica A 387 (2008) 2234-2242] are ordinary potential symmetries ...
    • Article  

      Continuum model for the phase behavior, microstructure, and rheology of unentangled polymer nanocomposite melts 

      Stephanou, Pavlos S.; Mavrantzas, V. G.; Georgiou, Georgios C. (2014)
      We introduce a continuum model for polymer melts filled with nanoparticles capable of describing in a unified and self-consistent way their microstructure, phase behavior, and rheology in both the linear and nonlinear ...
    • Article  

      Differential invariants for third-order evolution equations 

      Tsaousi, Christina; Tracinà, Rita; Sophocleous, Christodoulos (2015)
      We consider a general class of third order evolution equations. We construct differential invariants with the employment of the infinitesimal method that using equivalence groups. We use the differential invariants to ...
    • Doctoral Thesis  Open Access

      Group analysis of systems of evolution equations 

      Kontogiorgis, Stavros G. (Πανεπιστήμιο Κύπρου, Σχολή Θετικών και Εφαρμοσμένων Επιστημών / University of Cyprus, Faculty of Pure and Applied Sciences, 2018-02-07)
      Στις μέρες μας, ένα από τα πιο σημαντικά εργαλεία για την επίλυση των Διαφορικών Εξισώσεων είναι η εφαρμογή των μεθόδων των συμμετριών του Lie. Λύσεις μιας μη-γραμμικής Μερικής Διαφορικής Εξίσωσης (ΜΔΕ) μπορούν να ...
    • Article  

      Hodograph-type transformations 

      Sophocleous, Christodoulos (2003)
      We consider second-order evolution equations of the form ut = F1(u,ux)uxx+F2(u,ux) and third order of the form ut = F1(u,ux)u xxx+F2(u,ux,uxx). For each of these equations we construct point transformations which relate ...
    • Conference Object  

      Optimized interpolations and nonlinearity in numerical studies of woodwind instruments 

      Skouroupathis, A.; Panagopoulos, Haralambos G. (2005)
      We study the impedance spectra of woodwind instruments with arbitrary axisymmetric geometry. We perform piecewise interpolations of the instruments' profile, using interpolating functions amenable to analytic solutions of ...
    • Doctoral Thesis  Open Access

      Symmetry methods for higher-order evolution equations 

      Charalambous, Kyriakos S. (Πανεπιστήμιο Κύπρου, Σχολή Θετικών και Εφαρμοσμένων Επιστημών / University of Cyprus, Faculty of Pure and Applied Sciences, 2013-05)
      Οι μεθόδοι συμμετριων Lie ίσως να αποτελούν το πιο δυνατό διαθέσιμο εργαλείο στην επίλυση μη-γραμμικών μερικών διαφορικών εξισώσεων. Με κίνητρο τα γνωστά αποτελέσματα της δεύτερης τάξης μη-γραμμικής εξίσωσης της ...