  It is well known that the tropical climate model is an important model to
describe the interaction of large scale flow fields and precipitation in the
tropical atmosphere. In this paper, we address the issue of global
well-posedness for 2D temperature-dependent tropical climate model in a smooth
bounded domain. Through classical energy estimates and De Giorgi-Nash-Moser
iteration method, we obtain the global existence and uniqueness of strong
solution in classical energy spaces. Compared with Cauchy problem, we establish
more delicate a priori estimates with exponential decay rates. To the best of
our knowledge, this is the first result concerning the global well-posedness
for the initial-boundary value problem in 2D tropical climate model.
