Compactly Supported Solutions Through Symmetries

The objects of study are differential equations derived from a model of diffusion in which some reaction from the diffusive media occurs. Such Reaction Diffusion equations have been studied extensively, however in this case we focus on the conditions necessary to generate solutions with compact support—an area which has been largely ignored. The primary tool in this study is symmetry analysis.

Dylan Green

University of Wollongong

Dylan Green is an undergraduate student studying mathematics and physics at University of Wollongong. He entered these fields to try and understand the world in a deeper way – to see past what we may observe, and into the underlying mechanisms. Dylan has become increasingly conscious of environmental issues and has developed an interest in sustainability.

In addition to studying the function of our world and universe, Dylan is interested in the use of mathematics to develop and optimise sustainable technologies which minimise human impact on the globe.

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