Navegar

Colección

Datos Estadísticas

Artículo

Fernández Bonder, J.; Groisman, P.; Rossi, J.D. "On numerical blow-up sets" (2002) Proceedings of the American Mathematical Society. 130(7):2049-2055
La versión final de este artículo es de uso interno de la institución.
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

In this paper we study numerical blow-up sets for semidicrete approximations of the heat equation with nonlinear boundary conditions. We prove that the blow-up set either concentrates near the boundary or is the whole domain.

Registro:

Documento: Artículo
Título:On numerical blow-up sets
Autor:Fernández Bonder, J.; Groisman, P.; Rossi, J.D.
Filiación:Departamento de Matemática, FCEyN, UBA, 1428 Buenos Aires, Argentina
Palabras clave:Nonlinear boundary conditions; Numerical approximations
Año:2002
Volumen:130
Número:7
Página de inicio:2049
Página de fin:2055
DOI: http://dx.doi.org/10.1090/S0002-9939-02-06350-5
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_v130_n7_p2049_FernandezBonder

Referencias:

  • Acosta, G., Fernández Bonder, J., Groisman, P., Rossi, J.D., Numerical approximation of the heat equation with nonlinear boundary conditions in several space dimensions, , Preprint
  • Amann, H., Parabolic evolution equations and nonlinear boundary conditions (1988) J. Diff. Eq., 72, pp. 201-269. , MR 89e:35066
  • Bandle, C., Brunner, H., Blow-up in diffusion equations: A survey (1998) J. Comp. Appl. Math., 97, pp. 3-22. , MR 99g:35061
  • Chen, Y.G., Asymptotic behaviours of blowing up solutions for finite difference analogue of ut = uxx + u1+α (1986) J. Fac. Sci. Univ. Tokyo, Sec IA, Math., 33, pp. 541-574. , MR 88a:65113
  • Duran, R.G., Etcheverry, J.I., Rossi, J.D., Numerical approximation of a parabolic problem with a nonlinear boundary condition (1998) Discr. Cont. Dyn. Sys., 4 (3), pp. 497-506. , MR 99a:65122
  • Elliot, C.M., Stuart, A.M., Global dynamics of discrete semilinear parabolic equations (1993) SIAM J. Numerical Anal., 30, pp. 1622-1663. , MR 94j:65127
  • Fernández Bonder, J., Rossi, J.D., Blow-up vs. spurious steady solutions (2001) Proc. Amer. Math. Soc., 129 (1), pp. 139-144. , MR 2001c:35105
  • Groisman, P., Rossi, J.D., Asymptotic behaviour for a numerical approximation of a parabolic problem with blowing up solutions (2001) J. Comp. Appl. Math., 135 (1), pp. 135-155
  • Deng, K., Levine, H., The role of critical exponents in blow-up theorems: The sequel (2000) J. Math. Anal. Appl., 243, pp. 85-126. , MR 2001b:35031
  • Lopez Gomez, J., Marquez, V., Wolanski, N., Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition (1991) J. Diff. Eq., 92 (2), pp. 384-401. , MR 92j:35098
  • Rial, D.F., Rossi, J.D., Blow up results and localization of blow up points in an n-dimensional smooth domain (1997) Duke Math. J., 88 (2), pp. 391-405. , MR 98i:35079
  • Pao, C.V., (1992) Nonlinear parabolic and elliptic equations, , Plenum Press. MR 94c:35002
  • Walter, W., On existence and nonexistence in the large of solutions of parabolic differential equations with a nonlinear boundary condition (1975) SIAM J. Math. Anal., 6 (1), pp. 85-90. , MR 51:1122

Citas:

---------- APA ----------
Fernández Bonder, J., Groisman, P. & Rossi, J.D. (2002) . On numerical blow-up sets. Proceedings of the American Mathematical Society, 130(7), 2049-2055.
http://dx.doi.org/10.1090/S0002-9939-02-06350-5
---------- CHICAGO ----------
Fernández Bonder, J., Groisman, P., Rossi, J.D. "On numerical blow-up sets" . Proceedings of the American Mathematical Society 130, no. 7 (2002) : 2049-2055.
http://dx.doi.org/10.1090/S0002-9939-02-06350-5
---------- MLA ----------
Fernández Bonder, J., Groisman, P., Rossi, J.D. "On numerical blow-up sets" . Proceedings of the American Mathematical Society, vol. 130, no. 7, 2002, pp. 2049-2055.
http://dx.doi.org/10.1090/S0002-9939-02-06350-5
---------- VANCOUVER ----------
Fernández Bonder, J., Groisman, P., Rossi, J.D. On numerical blow-up sets. Proc. Am. Math. Soc. 2002;130(7):2049-2055.
http://dx.doi.org/10.1090/S0002-9939-02-06350-5