Blow-up with logarithmic nonlinearities

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We study the asymptotic behaviour of nonnegative solutions of the nonlinear diffusion equation in the half-line with a nonlinear boundary condition,{Mathematical expression} with p, q, λ > 0. We describe in terms of p, q and λ when the solution is global in time and when it blows up in finite tim...

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Detalles Bibliográficos
Autores principales:	Ferreira, R., de Pablo, A., Rossi, J.D.
Formato:	JOUR
Materias:	Asymptotic behaviour Blow-up Nonlinear boundary conditions
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_00220396_v240_n1_p196_Ferreira
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_00220396_v240_n1_p196_Ferreira
record_format	dspace
spelling	todo:paper_00220396_v240_n1_p196_Ferreira2023-10-03T14:25:33Z Blow-up with logarithmic nonlinearities Ferreira, R. de Pablo, A. Rossi, J.D. Asymptotic behaviour Blow-up Nonlinear boundary conditions We study the asymptotic behaviour of nonnegative solutions of the nonlinear diffusion equation in the half-line with a nonlinear boundary condition,{Mathematical expression} with p, q, λ > 0. We describe in terms of p, q and λ when the solution is global in time and when it blows up in finite time. For blow-up solutions we find the blow-up rate and the blow-up set and we describe the asymptotic behaviour close to the blow-up time, showing that a phenomenon of asymptotic simplification takes place. We finally study the appearance of extinction in finite time. © 2007 Elsevier Inc. All rights reserved. Fil:Rossi, J.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00220396_v240_n1_p196_Ferreira
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Asymptotic behaviour Blow-up Nonlinear boundary conditions
spellingShingle	Asymptotic behaviour Blow-up Nonlinear boundary conditions Ferreira, R. de Pablo, A. Rossi, J.D. Blow-up with logarithmic nonlinearities
topic_facet	Asymptotic behaviour Blow-up Nonlinear boundary conditions
description	We study the asymptotic behaviour of nonnegative solutions of the nonlinear diffusion equation in the half-line with a nonlinear boundary condition,{Mathematical expression} with p, q, λ > 0. We describe in terms of p, q and λ when the solution is global in time and when it blows up in finite time. For blow-up solutions we find the blow-up rate and the blow-up set and we describe the asymptotic behaviour close to the blow-up time, showing that a phenomenon of asymptotic simplification takes place. We finally study the appearance of extinction in finite time. © 2007 Elsevier Inc. All rights reserved.
format	JOUR
author	Ferreira, R. de Pablo, A. Rossi, J.D.
author_facet	Ferreira, R. de Pablo, A. Rossi, J.D.
author_sort	Ferreira, R.
title	Blow-up with logarithmic nonlinearities
title_short	Blow-up with logarithmic nonlinearities
title_full	Blow-up with logarithmic nonlinearities
title_fullStr	Blow-up with logarithmic nonlinearities
title_full_unstemmed	Blow-up with logarithmic nonlinearities
title_sort	blow-up with logarithmic nonlinearities
url	http://hdl.handle.net/20.500.12110/paper_00220396_v240_n1_p196_Ferreira
work_keys_str_mv	AT ferreirar blowupwithlogarithmicnonlinearities AT depabloa blowupwithlogarithmicnonlinearities AT rossijd blowupwithlogarithmicnonlinearities
_version_	1782024247274635264

Blow-up with logarithmic nonlinearities

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