Non-simultaneous quenching in a system of heat equations coupled at the boundary
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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.
Mathematics Subject Classification (2000).35B40 35K45 35K55
Keywords.Quenching parabolic system non-simultaneous
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