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Graduate Student-Faculty Seminars


Wednesday, November 30, 12:00 pm
Cullimore Hall Room 611
New Jersey Institute of Technology

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Spatial Patterns due to Diffusion-Driven Instability

 

Shuchi Agrawal

Department of Mathematical Sciences

New Jersey Institute of Technology

Newark, NJ

 

 

 

 

 

 

Abstract

 

Diffusion is usually thought of as stabilizing.  Turing suggested that under certain conditions chemicals can react and diffuse in such a way as to produce steady state non-uniform spatial patterns, which are said to evolve by a diffusion-driven instability. We derive conditions on reaction rate constants and diffusion coefficients of two reacting and diffusing species that ensures the generation of spatial patterns.