Local well-posedness of strong solution to a climate dynamic model with phase transformation of water vapor

Abstract

The primitive three-dimensional viscous equations for atmospheric dynamics with the phase transformation of water vapor are studied. According to the actual physical process, we give the heating rate, mass of water, and precipitation rate, which are related to temperature and pressure. In fact, this system strictly obeys the conservation of energy and is used to make better climate predictions. Providing H2 initial data and boundary conditions with physical significance, we prove the local well-posedness of a unique strong solution to the moist atmospheric equations by the contractive mapping principle and the energy method in the H2 framework.