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dc.contributor.author
Lederman, Claudia Beatriz
dc.contributor.author
Vázquez, Juan Luis
dc.contributor.author
Wolanski, Noemi Irene
dc.date.available
2022-02-14T11:57:35Z
dc.date.issued
2001-04
dc.identifier.citation
Lederman, Claudia Beatriz; Vázquez, Juan Luis; Wolanski, Noemi Irene; Uniqueness of solution to a free boundary problem from combustion; American Mathematical Society; Transactions of the American Mathematical Society; 353; 2; 4-2001; 655-692
dc.identifier.issn
0002-9947
dc.identifier.uri
http://hdl.handle.net/11336/151909
dc.description.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 ⊂ RN × (0, T) and such that ∆u +Xai uxi − 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 = 0, −∂u/∂ν = C. Here ν 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 D. 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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Mathematical Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
FREE-BOUNDARY PROBLEM
dc.subject
COMBUSTION
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HEAT EQUATION
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UNIQUENESS
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CLASSICAL SOLUTION
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VISCOSITY SOLUTION
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LIMIT SOLUTION
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Uniqueness of solution to a free boundary problem from combustion
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2021-12-03T20:49:40Z
dc.identifier.eissn
1088-6850
dc.journal.volume
353
dc.journal.number
2
dc.journal.pagination
655-692
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Lederman, Claudia Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.description.fil
Fil: Vázquez, Juan Luis. Universidad Autónoma de Madrid; España
dc.description.fil
Fil: Wolanski, Noemi Irene. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.journal.title
Transactions of the American Mathematical Society
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.ams.org/journals/tran/2001-353-02/home.html
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.ams.org/journals/tran/2001-353-02/S0002-9947-00-02663-5/S0002-9947-00-02663-5.pdf
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