Non-simultaneous quenching in a system of heat equations coupled at the boundary. (English) Zbl 1101.35008
The authors consider the phenomenon of quenching in a system of heat equations coupled at the boundary through singular absorptions and characterize in terms of the parameters involved when non-simultaneous quenching may appear.
Reviewer: Jiaqi Mo (Wuhu)
MSC:
35B05 | Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs |
35B40 | Asymptotic behavior of solutions to PDEs |
35K50 | Systems of parabolic equations, boundary value problems (MSC2000) |
35K55 | Nonlinear parabolic equations |