# A class of large solution of 2D tropical climate model without thermal diffusion

## TL;DR

This paper constructs global smooth solutions for a 2D tropical climate model without thermal diffusion, even with arbitrarily large initial data, advancing understanding of such models' solution behavior.

## Contribution

It introduces a novel method to establish global solutions for the 2D tropical climate model without thermal diffusion with large initial data.

## Key findings

- Global smooth solutions exist despite large initial data
- Construction of solutions relies on special initial data
- Advances understanding of 2D tropical climate models without thermal diffusion

## Abstract

In this paper, we consider the Cauchy problem of 2D tropical climate model without thermal diffusion and construct global smooth solutions by choosing a class of special initial data whose $L^{\infty}$ norm can be arbitrarily large.