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Ferreira, R.; De Pablo, A.; Quirós, F.; Rossi, J.D. "Non-simultaneous quenching in a system of heat equations coupled at the boundary" (2006) Zeitschrift fur Angewandte Mathematik und Physik. 57(4):586-594
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Abstract:

We study the solutions of a parabolic system of heat equations coupled at the boundary through a nonlinear flux. We characterize in terms of the parameters involved when non-simultaneous quenching may appear. Moreover, if quenching is non-simultaneous we find the quenching rate, which surprisingly depends on the flux associated to the other component. © 2006 Birkhäuser Verlag, Basel.

Registro:

Documento: Artículo
Título:Non-simultaneous quenching in a system of heat equations coupled at the boundary
Autor:Ferreira, R.; De Pablo, A.; 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, F.C.E y N., UBA, 1428 Buenos Aires, Argentina
Palabras clave:Non-simultaneous; Parabolic system; Quenching
Año:2006
Volumen:57
Número:4
Página de inicio:586
Página de fin:594
DOI: http://dx.doi.org/10.1007/s00033-005-0003-z
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_v57_n4_p586_Ferreira

Referencias:

  • Chan, C.Y., Recent advances in quenching phenomena (1996) Proc. Dynam. Systems. Appl., 2, pp. 107-113
  • Chan, C.Y., Kwong, M.K., Quenching phenomena for singular nonlinear parabolic equations (1988) Nonlinear Analysis, TMA, 12, pp. 1377-1383
  • Deng, K., Xu, M., Quenching for a nonlinear diffusion equation with a singular boundary condition (1999) Z. Angew. Math. Phys., 50, pp. 574-584
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  • Kawarada, H., On solutions of initial-boundary problem ut = uxx + 1/(1 -u) (1975) Publ. Res. Inst. Math. Kyoto Univ., 10, pp. 729-736
  • Ke, L., Ning, S., Quenching for degenerate parabolic equations (1998) Nonlinear Anal., 34, pp. 1123-1135
  • Levine, H.A., The quenching of solutions of nonlinear parabolic and hyperbolic equations with nonlinear boundary conditions (1983) SIAM J. Math. Anal., 14, pp. 1139-1153
  • Levine, H.A., The phenomenon of quenching: A survey (1985) Trends in the Theory and Practice of Nonlinear Analysis, pp. 275-286. , V. Lakshmikantham, ed., Elsevier Science Publ., North Holland
  • De Pablo, A., Quirós, F., Rossi, J.D., Non-simultaneous quenching (2002) Appl. Math. Letters, 15, pp. 265-269
  • Quirós, F., Rossi, J.D., Non-simultaneous blow-up in a semilinear parabolic system (2001) Z. Angew. Math. Phys., 52, pp. 342-346
  • Quirós, F., Rossi, J.D., Non-simultaneous blow-up in a nonlinear parabolic system (2003) Advanced Nonlinear Studies, 3, pp. 397-418
  • Souplet, Ph., Tayachi, S., Optimal condition for non-simultaneous blow-up in a reaction-diffusion system (2004) J. Math. Soc. Japan, 56, pp. 571-584

Citas:

---------- APA ----------
Ferreira, R., De Pablo, A., Quirós, F. & Rossi, J.D. (2006) . Non-simultaneous quenching in a system of heat equations coupled at the boundary. Zeitschrift fur Angewandte Mathematik und Physik, 57(4), 586-594.
http://dx.doi.org/10.1007/s00033-005-0003-z
---------- CHICAGO ----------
Ferreira, R., De Pablo, A., Quirós, F., Rossi, J.D. "Non-simultaneous quenching in a system of heat equations coupled at the boundary" . Zeitschrift fur Angewandte Mathematik und Physik 57, no. 4 (2006) : 586-594.
http://dx.doi.org/10.1007/s00033-005-0003-z
---------- MLA ----------
Ferreira, R., De Pablo, A., Quirós, F., Rossi, J.D. "Non-simultaneous quenching in a system of heat equations coupled at the boundary" . Zeitschrift fur Angewandte Mathematik und Physik, vol. 57, no. 4, 2006, pp. 586-594.
http://dx.doi.org/10.1007/s00033-005-0003-z
---------- VANCOUVER ----------
Ferreira, R., De Pablo, A., Quirós, F., Rossi, J.D. Non-simultaneous quenching in a system of heat equations coupled at the boundary. Z. Angew. Math. Phys. 2006;57(4):586-594.
http://dx.doi.org/10.1007/s00033-005-0003-z