Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/62028
Type: Artigo de periódico
Title: Nonlinear self-adjointness of a 2D generalized second order evolution equation
Author: Bozhkov, Y
Silva, KAA
Abstract: We study the nonlinear self-adjointness of a general class of quasilinear 2D second order evolution equations which do not possess variational structure. For this purpose, we use the method of Ibragimov, devised and developed recently. This approach enables one to establish the conservation laws for any differential equation. We first obtain conditions determining the self-adjoint sub-class in the general case. Then, we establish the conservation laws for important particular cases: the Ricci Flow equation, the modified Ricci Flow equation and the nonlinear heat equation. (C) 2012 Elsevier Ltd. All rights reserved.
Subject: Nonlinear self-adjointness
Strict and quasi-self-adjointness
Conservation laws
2D Ricci flow equation
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/j.na.2012.04.023
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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