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Mathematical Chemistry This group has a wide range of interests in chemical reaction theory and chemical combustion problems. Below we give a brief description of the main interests of this group, with further details on idividual members' pages. List of Main Interests People Under Construction , but see the Mathematical Chemistry page of Applied Mathematics. People in the Group S.K. Scott < Move to Chaos in Chemical Systems CNLS Research Groups CNLS Home Page Page created by allan@amsta.leeds.ac.uk Last Updated:21st. March, 1996.

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Click to return to main document Mathematical Chemistry and Reaction-Diffusion Equations This is the topic with which I began my research career, studying nonlinear dynamics in model, autocatalytic reaction schemes. Chemical Waves In many chemical systems, the only processes that change the chemical concentrations are reaction and diffusion. Chemical reaction tends to raise the concentration of various chemicals, whilst diffusion tends to reduce and smear them out. In certain systems, notably those involving autocatalytic reaction steps where the presence of a chemical increases the rate of its own production, a balance between reaction and diffusion can occur and lead to the propagation of chemical waves. The state of the system changes from reacted to unreacted across a thin zone that propagates, often with a constant speed. My PhD student, Steve Preece, also investigate the development of travelling waves in clock reaction systems, which are discussed below. References `A note on the properties of a family of travelling wave solutions arising in cubic autocatalysis'. J.Billingham and D.J.Needham, Dynamics and Stability of Systems `The development of travelling waves in quadratic and cubic autocatalysis with unequal diffusion rates. I. Permanent form travelling waves'. J.Billingham and

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