Non-simultaneous quenching in a system of heat equations coupled at the boundary |
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| Authors: | Raúl Ferreira Arturo de Pablo Fernando Quirós Julio D Rossi |
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| Institution: | (1) Departamento de Matemáticas, U. Carlos III de Madrid, 28911 Leganés, Spain;(2) Departamento de Matemáticas, U. Autónoma de Madrid, 28049 Madrid, Spain;(3) Departamento de Matemática, F.C.E y N., UBA, 1428 Buenos Aires, Argentina |
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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.
Partially supported by project BFM2002-04572 (Spain).
Partially supported by UBA grant EX046, CONICET and Fundación Antorchas (Argentina).
Received: February 17, 2004; revised: July 5, 2004 |
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| Keywords: | 35B40 35K45 35K55 |
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