Superfast quenching
We study positive solutions of a fast diffusion equation in a bounded interval with a nonlinear Neumann boundary condition, Formulas are presented. where m< 0. Every positive solution quenches in a finite time. We prove that the quenching rate is not always the natural one given by homogeneity, b...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00220396_v199_n1_p189_Ferreira |
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todo:paper_00220396_v199_n1_p189_Ferreira2023-10-03T14:25:31Z Superfast quenching Ferreira, R. de Pablo, A. Quirós, F. Rossi, J.D. Asymptotic behaviour Fast diffusion equation Nonlinear boundary conditions Quenching We study positive solutions of a fast diffusion equation in a bounded interval with a nonlinear Neumann boundary condition, Formulas are presented. where m< 0. Every positive solution quenches in a finite time. We prove that the quenching rate is not always the natural one given by homogeneity, but sometimes faster. We also study the quenching set, the asymptotic behaviour close to the quenching time and the possible continuation after that. © 2004 Elsevier Inc. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00220396_v199_n1_p189_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 Fast diffusion equation Nonlinear boundary conditions Quenching |
| spellingShingle |
Asymptotic behaviour Fast diffusion equation Nonlinear boundary conditions Quenching Ferreira, R. de Pablo, A. Quirós, F. Rossi, J.D. Superfast quenching |
| topic_facet |
Asymptotic behaviour Fast diffusion equation Nonlinear boundary conditions Quenching |
| description |
We study positive solutions of a fast diffusion equation in a bounded interval with a nonlinear Neumann boundary condition, Formulas are presented. where m< 0. Every positive solution quenches in a finite time. We prove that the quenching rate is not always the natural one given by homogeneity, but sometimes faster. We also study the quenching set, the asymptotic behaviour close to the quenching time and the possible continuation after that. © 2004 Elsevier Inc. All rights reserved. |
| format |
JOUR |
| author |
Ferreira, R. de Pablo, A. Quirós, F. Rossi, J.D. |
| author_facet |
Ferreira, R. de Pablo, A. Quirós, F. Rossi, J.D. |
| author_sort |
Ferreira, R. |
| title |
Superfast quenching |
| title_short |
Superfast quenching |
| title_full |
Superfast quenching |
| title_fullStr |
Superfast quenching |
| title_full_unstemmed |
Superfast quenching |
| title_sort |
superfast quenching |
| url |
http://hdl.handle.net/20.500.12110/paper_00220396_v199_n1_p189_Ferreira |
| work_keys_str_mv |
AT ferreirar superfastquenching AT depabloa superfastquenching AT quirosf superfastquenching AT rossijd superfastquenching |
| _version_ |
1807316124528803840 |