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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| Formato: | JOUR |
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_15361365_v10_n3_p659_Brandie |
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todo:paper_15361365_v10_n3_p659_Brandie2023-10-03T16:21:46Z Complete BLOW-UP AND AVALANCHE FORMATION FOR A PARABOLIC SYSTEM WITH NON-SIMULTANEOUS BLOW-Up Brandie, C. Quirós, F. Rossi, J.D. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 Brandie, C. Quirós, F. Rossi, J.D. 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. |
| format |
JOUR |
| author |
Brandie, C. Quirós, F. Rossi, J.D. |
| author_facet |
Brandie, C. Quirós, F. Rossi, J.D. |
| author_sort |
Brandie, C. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_15361365_v10_n3_p659_Brandie |
| work_keys_str_mv |
AT brandiec completeblowupandavalancheformationforaparabolicsystemwithnonsimultaneousblowup AT quirosf completeblowupandavalancheformationforaparabolicsystemwithnonsimultaneousblowup AT rossijd completeblowupandavalancheformationforaparabolicsystemwithnonsimultaneousblowup |
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1782025842193334272 |