Global Solution of Atmospheric Circulation Models with Humidity Effect

TL;DR

This paper establishes the existence of global solutions for atmospheric circulation models that incorporate humidity effects, simplifying complex models for better analysis and understanding.

Contribution

It introduces a method to prove the existence of global solutions using T-weakly continuous operators, advancing the mathematical understanding of atmospheric models with humidity.

Findings

Proved the existence of global solutions for the models.

Demonstrated the models' features align with atmospheric circulation.

Simplified complex atmospheric models for analysis.

Abstract

The atmospheric circulation models are deduced from the very complex atmospheric circulation models based on the actual background and meteorological data. The models are able to show features of atmospheric circulation and are easy to be studied. It is proved that existence of global solutions to atmospheric circulation models with the use of the $T$-weakly continuous operator.