Artículo
Bonder, J.F.; Rossi, J.D. "Blow-up vs. spurious steady solutions" (2001) Proceedings of the American Mathematical Society. 129(1):139-144
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Abstract:
In this paper, we study the blow-up problem for positive solutions of a semidiscretization in space of the heat equation in one space dimension with a nonlinear flux boundary condition and a nonlinear absorption term in the equation. We obtain that, for a certain range of parameters, the continuous problem has blow-up solutions but the semidiscretization does not and the reason for this is that a spurious attractive steady solution appears. ©2000 American Mathematical Society.
Registro:
| Documento: | Artículo |
| Título: | Blow-up vs. spurious steady solutions |
| Autor: | Bonder, J.F.; Rossi, J.D. |
| Filiación: | Departamento de Matemática, F.C.E Y N, UBA, (1428) Buenos Aires, Argentina Departamento de Matemática, F.C.E Y N., UBA, (1428) Buenos Aires, Argentina |
| Palabras clave: | Blow-up; Semidiscretization; Spurious solutions |
| Año: | 2001 |
| Volumen: | 129 |
| Número: | 1 |
| Página de inicio: | 139 |
| Página de fin: | 144 |
| Título revista: | Proceedings of the American Mathematical Society |
| Título revista abreviado: | Proc. Am. Math. Soc. |
| ISSN: | 00029939 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v129_n1_p139_Bonder |
Referencias:
- Budd, C.J., Huang, W., Russell, R.D., Moving mesh methods for problems with blow-up (1996) SIAM Jour. Sci. Comput., 17 (2), pp. 305-327. , MR 96j:65094
- Chipot, M., Fila, M., Quittner, P., Stationary solutions, blow up and convergence to stationary solutions for semilinear parabolic equations with nonlinear boundary conditions (1991) Acta Math. Univ. Comenianac., 60 (1), pp. 35-103. , MR 92h:35110
- Duran, R.G., Etcheverry, J.I., Rossi, J.D., Numerical approximation of a parabolic problem with a nonlinear boundary condition. Disc (1998) And Cont. Dyn. Sys., 4 (3), pp. 497-50G. , MR 99a:65122
- Henry, D., (1981) Geometric Theory of Semilinear Parabolic Equation. Lecture Notes in Math, 840. , Springer Verlag. MR 83j:35084
- Lopcz Gomez, J., Marquez, V., Wolanski, N., Dynamic behavior of positive solutions to reaction-diffusion problems with nonlinear absorption through the boundary (1993) Rev. Unión Matemática Argentina, 38, pp. 196-209. , MR 95f:35115
- Pao, C.V., (1992) Nonlinear Parabolic and Elliptic Equations., , Plenum Press MR 94c:35002
Citas:
---------- APA ----------
Bonder, J.F. & Rossi, J.D. (2001) . Blow-up vs. spurious steady solutions. Proceedings of the American Mathematical Society, 129(1), 139-144.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v129_n1_p139_Bonder [ ]
---------- CHICAGO ----------
Bonder, J.F., Rossi, J.D. "Blow-up vs. spurious steady solutions" . Proceedings of the American Mathematical Society 129, no. 1 (2001) : 139-144.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v129_n1_p139_Bonder [ ]
---------- MLA ----------
Bonder, J.F., Rossi, J.D. "Blow-up vs. spurious steady solutions" . Proceedings of the American Mathematical Society, vol. 129, no. 1, 2001, pp. 139-144.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v129_n1_p139_Bonder [ ]
---------- VANCOUVER ----------
Bonder, J.F., Rossi, J.D. Blow-up vs. spurious steady solutions. Proc. Am. Math. Soc. 2001;129(1):139-144.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v129_n1_p139_Bonder [ ]
