Conservation Laws of Multidimensional Diffusion-Convection Equations

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dc.creatorIvanova, Nataliya M.
dc.date2006-04-24
dc.date2006-08-14
dc.date.accessioned2026-07-07T12:12:58Z
dc.date.available2026-07-07T12:12:58Z
dc.descriptionAll possible linearly independent local conservation laws for $n$-dimensional diffusion--convection equations $u_t=(A(u))_{ii}+(B^i(u))_i$ were constructed using the direct method and the composite variational principle. Application of the method of classification of conservation laws with respect to the group of point transformations [R.O. Popovych, N.M. Ivanova, J. Math. Phys., 2005, V.46, 043502 (math-ph/0407008)] allows us to formulate the result in explicit closed form. Action of the symmetry groups on the conservation laws of diffusion equations is investigated and generating sets of conservation laws are constructed.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0604057
dc.identifierhttp://arxiv.org/abs/math-ph/0604057
dc.identifierNonlinear Dynamics, 2007, V.49, 71-81
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210721
dc.subjectMathematical Physics
dc.subject35K57; 35A30
dc.titleConservation Laws of Multidimensional Diffusion-Convection Equations
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