Exemplary time-dependent proton energy distribution obtained from jet-shear acceleration with a Fokker-Planck model assuming continuous injection of seed protons with γ₀ = 10⁴. As a result of advective escape, the predicted particle spectrum will appear somewhat softer (red, t = τ_adv, z) compared to the otherwise quasi steady-state distribution (yellow). The gray shaded region illustrates the spectral characteristics required to reproduce the neutrino emission for NGC 1068 as measured by IceCube.