Abstract:
We study the behavior of positive solutions of the system ut = div(a(u)∇u) + f(u, v) vt = div(b(v)∇u) + g(u, v) in Ω a bounded domain with the boundary conditions ∂u/∂η = r(u, v), ∂v/∂η = s(u, v) on ∂Ω and the initial data (u0, v0). We find conditions on the functions a, b, f, g, r, s that guarantee the global existence (or finite time blow-up) of positive solutions for every (u0, v0).
Registro:
Documento: |
Artículo
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Título: | Blow-up vs. global existence for quasilinear parabolic systems with a nonlinear boundary condition |
Autor: | Acosta, G.; Rossi, J.D. |
Filiación: | Departamento de Matemática, Fac. de Cienncias Exact. y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina Departamento de Matemática, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1.128) Buenos Aires, Argentina
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Palabras clave: | Blow up; Global existence; Nonlinear boundary conditions; Parabolic systems |
Año: | 1997
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Volumen: | 48
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Número: | 5
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Página de inicio: | 711
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Página de fin: | 724
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DOI: |
http://dx.doi.org/10.1007/s000330050060 |
Título revista: | Zeitschrift fur Angewandte Mathematik und Physik
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Título revista abreviado: | Z. Angew. Math. Phys.
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ISSN: | 00442275
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00442275_v48_n5_p711_Acosta |
Referencias:
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Citas:
---------- APA ----------
Acosta, G. & Rossi, J.D.
(1997)
. Blow-up vs. global existence for quasilinear parabolic systems with a nonlinear boundary condition. Zeitschrift fur Angewandte Mathematik und Physik, 48(5), 711-724.
http://dx.doi.org/10.1007/s000330050060---------- CHICAGO ----------
Acosta, G., Rossi, J.D.
"Blow-up vs. global existence for quasilinear parabolic systems with a nonlinear boundary condition"
. Zeitschrift fur Angewandte Mathematik und Physik 48, no. 5
(1997) : 711-724.
http://dx.doi.org/10.1007/s000330050060---------- MLA ----------
Acosta, G., Rossi, J.D.
"Blow-up vs. global existence for quasilinear parabolic systems with a nonlinear boundary condition"
. Zeitschrift fur Angewandte Mathematik und Physik, vol. 48, no. 5, 1997, pp. 711-724.
http://dx.doi.org/10.1007/s000330050060---------- VANCOUVER ----------
Acosta, G., Rossi, J.D. Blow-up vs. global existence for quasilinear parabolic systems with a nonlinear boundary condition. Z. Angew. Math. Phys. 1997;48(5):711-724.
http://dx.doi.org/10.1007/s000330050060