Articles | Volume 31, issue 1
https://doi.org/10.5194/npg-31-137-2024
https://doi.org/10.5194/npg-31-137-2024
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

Viewed

Total article views: 756 (including HTML, PDF, and XML)
HTML PDF XML Total Supplement BibTeX EndNote
523 201 32 756 54 31 24
  • HTML: 523
  • PDF: 201
  • XML: 32
  • Total: 756
  • Supplement: 54
  • BibTeX: 31
  • EndNote: 24
Views and downloads (calculated since 12 Sep 2023)
Cumulative views and downloads (calculated since 12 Sep 2023)

Viewed (geographical distribution)

Total article views: 756 (including HTML, PDF, and XML) Thereof 734 with geography defined and 22 with unknown origin.
Country # Views %
  • 1
1
 
 
 
 

Cited

Latest update: 22 May 2024
Download
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.