Nataliya M. Ivanova

most citedHierarchy of Conservation Laws of Diffusion--Convection Equations

59 citations · 86 across the 3 of their papers we have counts for

collaborators

3 papers

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…

math-ph2004★ 59 cited

Hierarchy of Conservation Laws of Diffusion--Convection Equations

Roman O. Popovych, Nataliya M. Ivanova

We introduce notions of equivalence of conservation laws with respect to Lie symmetry groups for fixed systems of differential equations and with respect to equivalence groups or s…

math-ph2004★ 7 cited

Conservation Laws and Potential Systems of Diffusion-Convection Equations

Nataliya M. Ivanova

We investigate conservation laws of diffusion-convection equations to construct first-order potential systems corresponding to these equations. We do two iterations of the construc…