Artículo

Lederman, C.; Vazquez, J.L.; Wolanski, N. "Uniqueness of solution to a free boundary problem from combustion" (2001) Transactions of the American Mathematical Society. 353(2):655-692
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Abstract:

We investigate the uniqueness and agreement between different kinds of solutions for a free boundary problem in heat propagation that in classical terms is formulated as follows: to find a continuous function u(x, t) ≥ 0, defined in a domain D C ℝN × (0,T) and such that Δu + ∑aiux -ut =0 in D⊂ {u>0}. We also assume that the interior boundary of the positivity set, D⊂∂{u >0}, so-called free boundary, is a regular hypersurface on which the following conditions are satisfied: u = 01 -∂ul∂v = C. Here v denotes outward unit spatial normal to the free boundary. In addition, initial data are specified, as well as either Dirichlet or Neumann data on the parabolic boundary of T. This problem arises in combustion theory as a limit situation in the propagation of premixed flames (high activation energy limit). The problem admits classical solutions only for good data and for small times. Several generalized concepts of solution have been proposed, among them the concepts of limit solution and viscosity solution. We investigate conditions under which the three concepts agree and produce a unique solution. ©2000 American Mathematical Society.

Registro:

Documento: Artículo
Título:Uniqueness of solution to a free boundary problem from combustion
Autor:Lederman, C.; Vazquez, J.L.; Wolanski, N.
Filiación:Departamento de Matemàtica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428), Buenos Aires, Argentina
Departamento de Matemâticas, Universidad Autönoma de Madrid, 28049 Madrid, Spain
Palabras clave:Classical solution; Combustion; Fvee-boundary problem; Heat equation; Limit solution; Uniqueness; Viscosity solution
Año:2001
Volumen:353
Número:2
Página de inicio:655
Página de fin:692
Título revista:Transactions of the American Mathematical Society
Título revista abreviado:Trans. Am. Math. Soc.
ISSN:00029947
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029947_v353_n2_p655_Lederman

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Citas:

---------- APA ----------
Lederman, C., Vazquez, J.L. & Wolanski, N. (2001) . Uniqueness of solution to a free boundary problem from combustion. Transactions of the American Mathematical Society, 353(2), 655-692.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029947_v353_n2_p655_Lederman [ ]
---------- CHICAGO ----------
Lederman, C., Vazquez, J.L., Wolanski, N. "Uniqueness of solution to a free boundary problem from combustion" . Transactions of the American Mathematical Society 353, no. 2 (2001) : 655-692.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029947_v353_n2_p655_Lederman [ ]
---------- MLA ----------
Lederman, C., Vazquez, J.L., Wolanski, N. "Uniqueness of solution to a free boundary problem from combustion" . Transactions of the American Mathematical Society, vol. 353, no. 2, 2001, pp. 655-692.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029947_v353_n2_p655_Lederman [ ]
---------- VANCOUVER ----------
Lederman, C., Vazquez, J.L., Wolanski, N. Uniqueness of solution to a free boundary problem from combustion. Trans. Am. Math. Soc. 2001;353(2):655-692.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029947_v353_n2_p655_Lederman [ ]