Browsing by Author "Demetriou, Ellie"
Now showing items 1-2 of 2
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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. ...
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Article
On the classification of similarity solutions of a two-dimensional diffusion-advection equation
Demetriou, Ellie; Christou, Marios Andreas; Sophocleous, Christodoulos (2007)We consider the two-dimensional diffusion-advection equation ut = Duyy - frac(d k, d u) ux. We present the classification of Lie symmetries of this equation. For the case k(u) = u2 we give the complete list of similarity ...