Understanding the properties of the many-body charged system is significantly important in chemical engineering, electrophysiology as well as theoretical physics. It is also challenging in applied mathematics, because of its non-local, non-linear and multi-scale nature. The traditional mean-field model might fail to capture the correct physics, due to the ignorance of the ionic sizes, the Coulomb correlation, the dielectric self-energy, and the temperature effect. In this talk, we will try to go beyond the classical mean-field model in a self-consistent manner to take into account these important effects and investigate the properties of the electrolyte system.