In this paper, we study two Energy Balance Models with Memory arising in climate dynamics, which consist in a 1D degenerate nonlinear parabolic equation involving a memory term, and possibly a set-valued reaction term (of Sellers type and of Budyko type, in the usual terminology). We provide existence and regularity results, and obtain uniqueness and stability estimates that are useful for the determination of the insolation function in Sellers’ model with memory.
Cannarsa, P., Malfitana, M., Martinez, P. (2020). Parameter determination for energy balance models with memory. In D.M. P. Cannarsa (a cura di), Mathematical approach to climate change and its impact (pp. 83-130). Springer [10.1007/978-3-030-38669-6_2].
Parameter determination for energy balance models with memory
Cannarsa P.
;
2020-01-01
Abstract
In this paper, we study two Energy Balance Models with Memory arising in climate dynamics, which consist in a 1D degenerate nonlinear parabolic equation involving a memory term, and possibly a set-valued reaction term (of Sellers type and of Budyko type, in the usual terminology). We provide existence and regularity results, and obtain uniqueness and stability estimates that are useful for the determination of the insolation function in Sellers’ model with memory.| File | Dimensione | Formato | |
|---|---|---|---|
|
CMM-BudykoSellers.pdf
solo utenti autorizzati
Tipologia:
Documento in Pre-print
Licenza:
Copyright dell'editore
Dimensione
395.43 kB
Formato
Adobe PDF
|
395.43 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
