For a two-layer diffusive energy balance climate model, finite-time blow-up occurs if atmospheric absorptivity exceeds 2, while global existence of solutions and a global attractor hold for absorptivity in (0,2).
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Comparison principles and long time behavior for a diffusive Energy Balance Model with vertical resolution
For a two-layer diffusive energy balance climate model, finite-time blow-up occurs if atmospheric absorptivity exceeds 2, while global existence of solutions and a global attractor hold for absorptivity in (0,2).