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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Existence of a family of discontinuous shock wavefronts is established for bistable reaction-diffusion equations with sign-changing diffusivity where the interior reaction zero lies in the negative region, together with their speeds and an application to a mixed individual-group population model.
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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).
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Shock wavefronts for parabolic equations with sign-changing diffusivity
Existence of a family of discontinuous shock wavefronts is established for bistable reaction-diffusion equations with sign-changing diffusivity where the interior reaction zero lies in the negative region, together with their speeds and an application to a mixed individual-group population model.