On the Global Well-posedness of a Two Species Interaction Model with Cross-diffusion

Thursday, May 28, 2015 - 3:30pm - 3:50pm
Lind 305
Nancy Rodriguez (University of North Carolina, Chapel Hill)
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.
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