There has been recent interest in the use of PDEs to gain understanding of various complex systems in the social sciences. In this talk I will introduce a system modeling social segregation. We analyze this system to understand the effect of social preference, economic disparity, and the environment on segregation. We discuss the existence of steady-state solutions as well as the local and global well-posedness of the system. These results are of broader interest as similar systems arise in the modeling opinion dynamics and rioting activity among other phenomena.