On the classification of similarity solutions of a two-dimensional diffusion-advection equation
Date
2007Source
Applied Mathematics and ComputationVolume
187Issue
2Pages
1333-1350Google Scholar check
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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 solutions. Exact and numerical solutions are obtained. © 2006 Elsevier Inc. All rights reserved.