Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Complete BLOW-UP AND AVALANCHE FORMATION FOR A PARABOLIC SYSTEM WITH NON-SIMULTANEOUS BLOW-Up |
Autor: | Brandie, C.; Quirós, F.; Rossi, J.D. |
Filiación: | Departamento de Matemáticas, U. Carlos III de Madrid, 28911 Leganés, Spain Departamento de Matemáticas, U. Autónoma de Madrid, 28049 Madrid, Spain Departamento de Matemática FCEyN, U. de Buenos Aires, 1428 Buenos Aires, Argentina
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Palabras clave: | Avalanche; Complete blow-up; Nonlinear boundary conditions; Parabolic system |
Año: | 2010
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Volumen: | 10
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Número: | 3
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Página de inicio: | 659
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Página de fin: | 679
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Título revista: | Advanced Nonlinear Studies
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Título revista abreviado: | Adv. Nonlinear Stud.
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ISSN: | 15361365
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v10_n3_p659_Brandie |
Referencias:
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Citas:
---------- APA ----------
Brandie, C., Quirós, F. & Rossi, J.D.
(2010)
. Complete BLOW-UP AND AVALANCHE FORMATION FOR A PARABOLIC SYSTEM WITH NON-SIMULTANEOUS BLOW-Up. Advanced Nonlinear Studies, 10(3), 659-679.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v10_n3_p659_Brandie [ ]
---------- CHICAGO ----------
Brandie, C., Quirós, F., Rossi, J.D.
"Complete BLOW-UP AND AVALANCHE FORMATION FOR A PARABOLIC SYSTEM WITH NON-SIMULTANEOUS BLOW-Up"
. Advanced Nonlinear Studies 10, no. 3
(2010) : 659-679.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v10_n3_p659_Brandie [ ]
---------- MLA ----------
Brandie, C., Quirós, F., Rossi, J.D.
"Complete BLOW-UP AND AVALANCHE FORMATION FOR A PARABOLIC SYSTEM WITH NON-SIMULTANEOUS BLOW-Up"
. Advanced Nonlinear Studies, vol. 10, no. 3, 2010, pp. 659-679.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v10_n3_p659_Brandie [ ]
---------- VANCOUVER ----------
Brandie, C., Quirós, F., Rossi, J.D. Complete BLOW-UP AND AVALANCHE FORMATION FOR A PARABOLIC SYSTEM WITH NON-SIMULTANEOUS BLOW-Up. Adv. Nonlinear Stud. 2010;10(3):659-679.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15361365_v10_n3_p659_Brandie [ ]