INIQUI 05448
INSTITUTO DE INVESTIGACIONES PARA LA INDUSTRIA QUIMICA
Unidad Ejecutora - UE
artículos
Título:
An initial - boundary value problem for the one-dimensional non-classical heat equation in a slab
Autor/es:
NATALIA L. SALVA, DOMINGO A. TARZIA, LUIS T. VILLA
Revista:
BOUNDARY VALUE PROBLEMS
Editorial:
HINDAWI PUBLISHING CORPORATION
Referencias:
Lugar: Heidelberg; Año: 2011 vol. 4 p. 1 - 17
ISSN:
1687-2762
Resumen:
Abstract: Nonlinear problems for the one-dimensional heat equation in a bounded and homogeneous medium with temperature data on the boundaries x = 0 and x = 1, and a uniform spatial heat source depending on the heat flux (or the temperature) on the boundary x = 0 are studied. Existence and uniqueness for the solution to non-classical heat conduction problems, under suitable assumptions on the data, are obtained. Comparisons results and asymptotic behavior for the solution for particular choices of the heat source, initial, and boundary data are also obtained. A generalization for non-classical moving boundary problems for the heat equation is also given. 2000 AMS Subject Classification: 35C15, 35K55, 45D05, 80A20, 35R35.: 35C15, 35K55, 45D05, 80A20, 35R35.
