Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/62028
Type: Artigo
Title: Nonlinear self-adjointness of a 2D generalized second order evolution equation
Author: Bozhkov, Yuri
Silva, Kênio A. A.
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.
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 enabl
Subject: Auto-adjunticidade não-linear
Equações quase auto-adjuntas
Leis de conservação (Matemática)
Fluxo de Ricci
Country: Reino Unido
Editor: Elsevier
Citation: Nonlinear Analysis-theory Methods & Applications. Pergamon-elsevier Science Ltd, v. 75, n. 13, n. 5069, n. 5078, 2012.
Rights: Fechado
Identifier DOI: 10.1016/j.na.2012.04.023
Address: https://www.sciencedirect.com/science/article/pii/S0362546X12001526
Date Issue: 2012
Appears in Collections:IMECC - Artigos e Outros Documentos

Files in This Item:
File Description SizeFormat 
000305144900031.pdf342.77 kBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.