Introduction:
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Recent developments in reaction diffusion equations have greatly increased their importance and usefulness in modeling physical and biological phenomena in many disciplines. The application of reaction diffusion is seemingly endless with their use naturally arising in areas such as biology, ecology, chemistry, geology, physics, and engineering. Investigation of the structure of steady states for such models yields interesting nonlinear elliptic boundary value problems of varied types. Even with the study of elliptic boundary value problems having such a rich mathematical history dating back to the 1960s, much is still unknown about the structure of solutions to such problems. This session will facilitate the exploration of current applications of reaction diffusion, proof techniques, and open questions of nonlinear elliptic boundary value problems. |
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