Artículo
Acosta, G.; Rossi, J.D. "Blow-up vs. global existence for quasilinear parabolic systems with a nonlinear boundary condition" (1997) Zeitschrift fur Angewandte Mathematik und Physik. 48(5):711-724
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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 |
| 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 |
| Palabras clave: | Blow up; Global existence; Nonlinear boundary conditions; Parabolic systems |
| Año: | 1997 |
| Volumen: | 48 |
| Número: | 5 |
| Página de inicio: | 711 |
| Página de fin: | 724 |
| DOI: | http://dx.doi.org/10.1007/s000330050060 |
| Título revista: | Zeitschrift fur Angewandte Mathematik und Physik |
| Título revista abreviado: | Z. Angew. Math. Phys. |
| ISSN: | 00442275 |
| 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
