Complete BLOW-UP AND AVALANCHE FORMATION FOR A PARABOLIC SYSTEM WITH NON-SIMULTANEOUS BLOW-Up

We study the possibility of defining a nontrivial continuation after the blow-up time for a system of two heat equations with a nonlinear coupling at the boundary. It turns out that any possible continuation that verifies a maximum principle is identically infinity everywhere after the blow-up time;...

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Detalles Bibliográficos
Autor principal: Rossi, Julio Daniel
Publicado: 2010
Materias:
Avalanche
Complete blow-up
Nonlinear boundary conditions
Parabolic system
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v10_n3_p659_Brandie
http://hdl.handle.net/20.500.12110/paper_15361365_v10_n3_p659_Brandie
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15361365_v10_n3_p659_Brandie
record_format dspace
spelling paper:paper_15361365_v10_n3_p659_Brandie2023-06-08T16:20:09Z Complete BLOW-UP AND AVALANCHE FORMATION FOR A PARABOLIC SYSTEM WITH NON-SIMULTANEOUS BLOW-Up Rossi, Julio Daniel Avalanche Complete blow-up Nonlinear boundary conditions Parabolic system We study the possibility of defining a nontrivial continuation after the blow-up time for a system of two heat equations with a nonlinear coupling at the boundary. It turns out that any possible continuation that verifies a maximum principle is identically infinity everywhere after the blow-up time; that is, both components blow up completely. We also analyze the propagation of the singularity to the whole space, the avalanche, when blow-up is non-simultaneous. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v10_n3_p659_Brandie http://hdl.handle.net/20.500.12110/paper_15361365_v10_n3_p659_Brandie
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Avalanche
Complete blow-up
Nonlinear boundary conditions
Parabolic system
spellingShingle Avalanche
Complete blow-up
Nonlinear boundary conditions
Parabolic system
Rossi, Julio Daniel
Complete BLOW-UP AND AVALANCHE FORMATION FOR A PARABOLIC SYSTEM WITH NON-SIMULTANEOUS BLOW-Up
topic_facet Avalanche
Complete blow-up
Nonlinear boundary conditions
Parabolic system
description We study the possibility of defining a nontrivial continuation after the blow-up time for a system of two heat equations with a nonlinear coupling at the boundary. It turns out that any possible continuation that verifies a maximum principle is identically infinity everywhere after the blow-up time; that is, both components blow up completely. We also analyze the propagation of the singularity to the whole space, the avalanche, when blow-up is non-simultaneous.
author Rossi, Julio Daniel
author_facet Rossi, Julio Daniel
author_sort Rossi, Julio Daniel
title Complete BLOW-UP AND AVALANCHE FORMATION FOR A PARABOLIC SYSTEM WITH NON-SIMULTANEOUS BLOW-Up
title_short Complete BLOW-UP AND AVALANCHE FORMATION FOR A PARABOLIC SYSTEM WITH NON-SIMULTANEOUS BLOW-Up
title_full Complete BLOW-UP AND AVALANCHE FORMATION FOR A PARABOLIC SYSTEM WITH NON-SIMULTANEOUS BLOW-Up
title_fullStr Complete BLOW-UP AND AVALANCHE FORMATION FOR A PARABOLIC SYSTEM WITH NON-SIMULTANEOUS BLOW-Up
title_full_unstemmed Complete BLOW-UP AND AVALANCHE FORMATION FOR A PARABOLIC SYSTEM WITH NON-SIMULTANEOUS BLOW-Up
title_sort complete blow-up and avalanche formation for a parabolic system with non-simultaneous blow-up
publishDate 2010
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v10_n3_p659_Brandie
http://hdl.handle.net/20.500.12110/paper_15361365_v10_n3_p659_Brandie
work_keys_str_mv AT rossijuliodaniel completeblowupandavalancheformationforaparabolicsystemwithnonsimultaneousblowup
_version_ 1768546085118148608

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