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.
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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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Ferreira, R., Pablo, A.d., Quirós, F. et al. Non-simultaneous quenching in a system of heat equations coupled at the boundary. Z. angew. Math. Phys. 57, 586–594 (2006). https://doi.org/10.1007/s00033-005-0003-z
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DOI: https://doi.org/10.1007/s00033-005-0003-z