INV SUPERIOR JUBILADO
TARZIA Domingo Alberto
congresos y reuniones científicas
Título:
An initial-boundary value problema for the one-dimensional non-classical heat equation in a slab
Autor/es:
N.N. SALVA; D. A. TARZIA; L. T. VILLA
Lugar:
Bahía Blanca
Reunión:
Congreso; III MACI 2011 - III Congreso de Matemática Aplicada, Computacional e Industrial; 2011
Institución organizadora:
ASAMACI - Asociación Argentina de Matemática Aplicada, Computacional e Industrial
Resumen:
A nonlinear problem for the one-dimensional heat equation in a bounded and homogeneous medium with temperature data on the boundary x=0 and x=1 is studied. It is considered a non- classical heat conduction problem because a uniform spatial heat source depending on the heat flux (or the temperature) on the boundary x=0 is taken into account. Existence and uniqueness for the solution are proved under suitable assumptions on the data. Comparisons results and asymptotic behavior for the solution regarding some particular cases for the heat source, initial, and boundary data are also obtained.
