Electronic Journal of Differential Equations, Vol. 2008(2008), No. 63, pp. 1-15. Title: Global smooth solutions of the spin polarized transport equation Authors: Boling Guo (Inst. of Applied Physics and Comp. Math. Beijing, China) Xueke Pu (China Academy of Engineering Physics Beijing, China) Abstract: In this paper, we prove the existence of global smooth solutions of the spin-polarized transport equation using energy estimates method in dimension two. Submitted July 4, 2007. Published April 27, 2008. Math Subject Classifications: 35K15, 35K20. Key Words: Spin-polarized transport equations; global smooth solutions; Landau-Lifshitz equations.