Blow-up with logarithmic nonlinearities

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
Autor principal: Rossi, Julio Daniel
Publicado: 2007
Materias:
Asymptotic behaviour
Blow-up
Nonlinear boundary conditions
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v240_n1_p196_Ferreira
http://hdl.handle.net/20.500.12110/paper_00220396_v240_n1_p196_Ferreira
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00220396_v240_n1_p196_Ferreira
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spelling paper:paper_00220396_v240_n1_p196_Ferreira2023-06-08T14:45:10Z Blow-up with logarithmic nonlinearities Rossi, Julio Daniel 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. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v240_n1_p196_Ferreira 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
Rossi, Julio Daniel
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.
author Rossi, Julio Daniel
author_facet Rossi, Julio Daniel
author_sort Rossi, Julio Daniel
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
publishDate 2007
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00220396_v240_n1_p196_Ferreira
http://hdl.handle.net/20.500.12110/paper_00220396_v240_n1_p196_Ferreira
work_keys_str_mv AT rossijuliodaniel blowupwithlogarithmicnonlinearities
_version_ 1768546661934563328

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