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Type: Relatório
Title: A nonlinear heat equation with temperature-dependent parameters
Author(s)/Inventor(s): Rincon, Mauro Antônio
Límaco Ferrel, Juan Bautista
Liu, I-Shih
Abstract: A nonlinear partial differential equation of the following form is considered: u¹ − div (a(u)∇ u) + b(u) |∇u|² = 0, which arises from the heat conduction problems with strong temperature-dependent material parameters, such as mass density, specific heat and heat conductivity. Existence, uniqueness and asymptotic behavior of initial boundary value problems under appropriate assumptions on the material parameters are established. Both one-dimensional and two-dimensional cases are considered.
Keywords: Equações diferenciais parciais não lineares
Parametros de temperatura
Production unit: Instituto Tércio Pacitti de Aplicações e Pesquisas Computacionais
In: Relatório Técnico NCE
Issue: 0504
Issue Date: 31-Dec-2004
Publisher country: Brasil
Language: eng
Right access: Acesso Aberto
Citation: RINCON, M. A.; LÍMACO, J. ; LIU, I. S. A nonlinear heat equation with temperature-dependent parameters. Rio de Janeiro: NCE, UFRJ, 2004. 14 p. (Relatório Técnico, 05/04)
Appears in Collections:Relatórios

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