R. Popovych

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20012008

most citedNew results on group classification of nonlinear diffusion-convection equations

109 citations · 460 across the 16 of their papers we have counts for

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math-ph2005★ 20 cited

Conservation Laws of Variable Coefficient Diffusion-Convection Equations

N. M. Ivanova, R. O. Popovych, C. Sophocleous

We study local conservation laws of variable coefficient diffusion-convection equations of the form $f (x) u_{t} = (g (x) A (u) u_{x})_{x} + h (x) B (u) u_{x}$ . The main tool of our investigation is the…