Localization of blow-up points for a parabolic system with a nonlinear boundary condition

The authors localize the blow-up points of positive solutions of the system μ t = Δu, v t = Δv with conditions ∂u/∂η = f(v), ∂v/∂η = g(u) at the boundary of a bounded smooth domain Θ under some restrictions of f and g and the initial data (Δu 0, Δν 0 >c > 0). If Θ is a ball, the hypoth...

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Autores principales: Rial, Diego Fernando, Rossi, Julio Daniel
Publicado: 1999
Materias:
blow up
nonlinear boundary conditions
parabolic systems
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0009725X_v48_n1_p135_Rial
http://hdl.handle.net/20.500.12110/paper_0009725X_v48_n1_p135_Rial
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0009725X_v48_n1_p135_Rial
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spelling paper:paper_0009725X_v48_n1_p135_Rial2023-06-08T14:34:02Z Localization of blow-up points for a parabolic system with a nonlinear boundary condition Rial, Diego Fernando Rossi, Julio Daniel blow up nonlinear boundary conditions parabolic systems The authors localize the blow-up points of positive solutions of the system μ t = Δu, v t = Δv with conditions ∂u/∂η = f(v), ∂v/∂η = g(u) at the boundary of a bounded smooth domain Θ under some restrictions of f and g and the initial data (Δu 0, Δν 0 >c > 0). If Θ is a ball, the hypothesis on the initial data can be removed. © 1999 Springer. Fil:Rial, D.F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1999 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0009725X_v48_n1_p135_Rial http://hdl.handle.net/20.500.12110/paper_0009725X_v48_n1_p135_Rial
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic blow up
nonlinear boundary conditions
parabolic systems
spellingShingle blow up
nonlinear boundary conditions
parabolic systems
Rial, Diego Fernando
Rossi, Julio Daniel
Localization of blow-up points for a parabolic system with a nonlinear boundary condition
topic_facet blow up
nonlinear boundary conditions
parabolic systems
description The authors localize the blow-up points of positive solutions of the system μ t = Δu, v t = Δv with conditions ∂u/∂η = f(v), ∂v/∂η = g(u) at the boundary of a bounded smooth domain Θ under some restrictions of f and g and the initial data (Δu 0, Δν 0 >c > 0). If Θ is a ball, the hypothesis on the initial data can be removed. © 1999 Springer.
author Rial, Diego Fernando
Rossi, Julio Daniel
author_facet Rial, Diego Fernando
Rossi, Julio Daniel
author_sort Rial, Diego Fernando
title Localization of blow-up points for a parabolic system with a nonlinear boundary condition
title_short Localization of blow-up points for a parabolic system with a nonlinear boundary condition
title_full Localization of blow-up points for a parabolic system with a nonlinear boundary condition
title_fullStr Localization of blow-up points for a parabolic system with a nonlinear boundary condition
title_full_unstemmed Localization of blow-up points for a parabolic system with a nonlinear boundary condition
title_sort localization of blow-up points for a parabolic system with a nonlinear boundary condition
publishDate 1999
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0009725X_v48_n1_p135_Rial
http://hdl.handle.net/20.500.12110/paper_0009725X_v48_n1_p135_Rial
work_keys_str_mv AT rialdiegofernando localizationofblowuppointsforaparabolicsystemwithanonlinearboundarycondition
AT rossijuliodaniel localizationofblowuppointsforaparabolicsystemwithanonlinearboundarycondition
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