Browsing by Subject "Diffusion-convection equations"

Now showing items 1-3 of 3

    • Article  

      Group analysis of (2 + 1)- and (3 + 1)-dimensional diffusion-convection equations 

      Demetriou, Ellie; Ivanova, Nataliya M.; Sophocleous, Christodoulos (2008)
      We perform the complete Lie group classification of a (2 + 1)- and a (3 + 1)-dimensional classes of non-linear diffusion-convection equations. This classification generalizes and completes existing results in the literature. ...
    • Conference Object  

      Group analysis of a class of nonlinear Kolmogorov equations 

      Vaneeva, Olena O.; Karadzhov, Y.; Sophocleous, Christodoulos (Springer New York LLC, 2016)
      A class of (1+2)-dimensional diffusion-convection equations (nonlinear Kolmogorov equations) with time-dependent coefficients is studied with Lie symmetry point of view. The complete group classification is achieved using ...
    • Article  

      Group analysis of variable coefficient diffusion-convection equations. I. Enhanced group classification 

      Ivanova, Nataliya M.; Popovych, R. O.; Sophocleous, Christodoulos (2010)
      We discuss the classical statement of group classification problem and some its extensions in the general case. After that, we carry out the complete extended group classification for a class of (1 + 1)-dimensional nonlinear ...