Blow-up vs. spurious steady solutions

In this paper, we study the blow-up problem for positive solutions of a semidiscretization in space of the heat equation in one space dimension with a nonlinear flux boundary condition and a nonlinear absorption term in the equation. We obtain that, for a certain range of parameters, the continuous...

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Detalles Bibliográficos
Autores principales: Bonder, J.F., Rossi, J.D.
Formato: JOUR
Materias:
Blow-up
Semidiscretization
Spurious solutions
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00029939_v129_n1_p139_Bonder
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00029939_v129_n1_p139_Bonder
record_format dspace
spelling todo:paper_00029939_v129_n1_p139_Bonder2023-10-03T13:55:06Z Blow-up vs. spurious steady solutions Bonder, J.F. Rossi, J.D. Blow-up Semidiscretization Spurious solutions In this paper, we study the blow-up problem for positive solutions of a semidiscretization in space of the heat equation in one space dimension with a nonlinear flux boundary condition and a nonlinear absorption term in the equation. We obtain that, for a certain range of parameters, the continuous problem has blow-up solutions but the semidiscretization does not and the reason for this is that a spurious attractive steady solution appears. ©2000 American Mathematical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00029939_v129_n1_p139_Bonder
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
Semidiscretization
Spurious solutions
spellingShingle Blow-up
Semidiscretization
Spurious solutions
Bonder, J.F.
Rossi, J.D.
Blow-up vs. spurious steady solutions
topic_facet Blow-up
Semidiscretization
Spurious solutions
description In this paper, we study the blow-up problem for positive solutions of a semidiscretization in space of the heat equation in one space dimension with a nonlinear flux boundary condition and a nonlinear absorption term in the equation. We obtain that, for a certain range of parameters, the continuous problem has blow-up solutions but the semidiscretization does not and the reason for this is that a spurious attractive steady solution appears. ©2000 American Mathematical Society.
format JOUR
author Bonder, J.F.
Rossi, J.D.
author_facet Bonder, J.F.
Rossi, J.D.
author_sort Bonder, J.F.
title Blow-up vs. spurious steady solutions
title_short Blow-up vs. spurious steady solutions
title_full Blow-up vs. spurious steady solutions
title_fullStr Blow-up vs. spurious steady solutions
title_full_unstemmed Blow-up vs. spurious steady solutions
title_sort blow-up vs. spurious steady solutions
url http://hdl.handle.net/20.500.12110/paper_00029939_v129_n1_p139_Bonder
work_keys_str_mv AT bonderjf blowupvsspurioussteadysolutions
AT rossijd blowupvsspurioussteadysolutions
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