This paper is devoted to considering the three-dimensional viscous primitive equations of the large-scale atmosphere. First,we prove the global well-posedness for the primitive equations with weaker initial data than that in [11]. Second,we obtain the existence of smooth solutions to the equations. Moreover,we obtain the compact global attractor in V for the dynamical system generated by the primitive equations of large-scale atmosphere,which improves the result of [11].
Negative refraction and subwavelength imaging properties of a two-dimensional (2D) photonic crystal (PC)slab are studied by the finite-difference time-domain method. The PC consists of a triangular lattice ofair holes immersed in a dielectric. For a certain frequency range in the third photonic band, the directionsof the group velocities and the phase velocities can be opposite, so the PC can work as a kind of negativerefractive-index material. The light radiated from a point source can form a subwavelength image spotthrough the PC slab. Negative refraction and an effective refractive index of the PC slab n = -1 can beachieved for the incident wave with its incident angle within a certain range.