Global well-posedness and energy decay for hypodissipative three-dimensional tropical climate models with damping
Year: 2026
Type: article
Abstract: In this paper, we consider a three-dimensional tropical climate model (TCM) with fractional diffusion Λ2αu and, in particular, nonlinear damping |u|β−1u in the equation for the barotropic mode of the velocity u. Assuming α∈(9/10,1] and exploiting the regularizing effect due to the damping term, we establish the global existence and uniqueness of strong solutions for β greater than a suitable threshold depending on α. In the given analysis, we place particular emphasis on the case of hypoviscosity. As a further result, we prove the L2-energy decay of the global solution (u,v,θ) over the long-time period.
Authors: Diego Berti, Luca Bisconti, Davide Catania
Institutions: University of Turin, University of Florence
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7159085422