Blow-up analysis for a system of heat equations coupled through a nonlinear boundary condition Original Research Article

Consider the system of heat equations uit − Δui = 0 (i = 1,…, k, uk+1 ≔ u1) in Ω × (0,T) coupled through nonlinear boundary conditions View the MathML source on ∂Ω × [0,T). The upper and lower bounds of the blow-up rate is derived.