Nonlinear Processes in Geophysics
Nonlinear Processes in Geophysics
NPG
Articles | Volume 31, issue 1
Articles | Volume 31, issue 1
https://doi.org/10.5194/npg-31-137-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/npg-31-137-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 31, issue 1
Research article
 | 
08 Mar 2024
Research article |  | 08 Mar 2024

Variational techniques for a one-dimensional energy balance model

Gianmarco Del Sarto, Jochen Bröcker, Franco Flandoli, and Tobias Kuna

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Latest update: 01 Apr 2025
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Short summary
We consider a one-dimensional model for the Earth's temperature. We give sufficient conditions to admit three asymptotic solutions. We connect the value function (minimum value of an objective function depending on the greenhouse gas (GHG) concentration) to the global mean temperature. Then, we show that the global mean temperature is the derivative of the value function and that it is non-decreasing with respect to GHG concentration. 
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