Marchant, Timothy R. Professor

Dean of Research

  • School of Mathematics and Applied Statistics

Research Overview


  • Professor Timothy Marchant is Dean of Research and Professor of Applied Mathematics in the School of Mathematics and Applied Statistics.


    Professor Marchant gained a PhD in Applied Mathematics from the University of Adelaide in 1988 and has published about 75 research papers. Professor Marchant has also successfully supervised 12 Masters/PhD students on various topics in Applied Mathematics.


    Professor Marchant’s research areas include nonlinear optics, nonlinear waves and combustion theory.  Professor Marchant is a Fellow of the Australian Mathematical Society, a Past President  of the Australian Mathematical Society and a Member of the Endeavour Awards  selection panel. He is also an editor of the Applied Mathematical Modelling Journal. Professor Marchant is a member of the Illawarra Bridge Club and is learning Mandarin.

Available as Research Supervisor

Available for Collaborative Projects

Selected Publications


Available as Research Supervisor

Potential Supervision Topics


    • Nonlinear optics: The propagation of solitary waves and dispersive shock waves  in nematic liquid crystals, thermal media and other optical media
    • Nonlinear waves. Analysis of solitary waves and dispersive shock waves  for integrable equations, such as Korteweg-de Vries equation, Nonlinear Schrodinger equation and their non integrable variants
    • Combustion theory and mathematical chemistry. Semi-analytical solutions for reaction-diffusion equations. Many chemical systems can be modelled by sets of reaction-diffusion equations, which are hard or impossible to analyse using the standard tools of combustion theory. This project will look at methods of approximating the governing equations by sets of ordinary differential equations and analysing the static and dynamic stability of the system

Advisees


  • Graduate Advising Relationship

    Degree Research Title Advisee
    Doctor of Philosophy Undular bores in Colloidal Media An, Xin
    Doctor of Philosophy A study of some efficient numerical techniques used in pricing options under stochastic volatility models Zeng, Xiangchen
    Master of Philosophy Post-Modern Phenomenon of Body-Modifying Devices: The Present, The Future, The Past. Bradley-Munn, Sharon
    Doctor of Philosophy Optical solitary waves in thermal media Louis, Simon
    Doctor of Philosophy Process intensi cation for autothermal reaction Saleh, Manal

Education And Training


  • Ph.D. in Applied Mathematics 1988

Keywords


  • applied mathematics

    nonlinear waves

    nonlinear optics

    reaction-diffusion equations

    mathematical modelling

     

Web Of Science Researcher Id


  • F-6514-2013

Research Overview


  • Professor Timothy Marchant is Dean of Research and Professor of Applied Mathematics in the School of Mathematics and Applied Statistics.


    Professor Marchant gained a PhD in Applied Mathematics from the University of Adelaide in 1988 and has published about 75 research papers. Professor Marchant has also successfully supervised 12 Masters/PhD students on various topics in Applied Mathematics.


    Professor Marchant’s research areas include nonlinear optics, nonlinear waves and combustion theory.  Professor Marchant is a Fellow of the Australian Mathematical Society, a Past President  of the Australian Mathematical Society and a Member of the Endeavour Awards  selection panel. He is also an editor of the Applied Mathematical Modelling Journal. Professor Marchant is a member of the Illawarra Bridge Club and is learning Mandarin.

Selected Publications


Potential Supervision Topics


    • Nonlinear optics: The propagation of solitary waves and dispersive shock waves  in nematic liquid crystals, thermal media and other optical media
    • Nonlinear waves. Analysis of solitary waves and dispersive shock waves  for integrable equations, such as Korteweg-de Vries equation, Nonlinear Schrodinger equation and their non integrable variants
    • Combustion theory and mathematical chemistry. Semi-analytical solutions for reaction-diffusion equations. Many chemical systems can be modelled by sets of reaction-diffusion equations, which are hard or impossible to analyse using the standard tools of combustion theory. This project will look at methods of approximating the governing equations by sets of ordinary differential equations and analysing the static and dynamic stability of the system

Advisees


  • Graduate Advising Relationship

    Degree Research Title Advisee
    Doctor of Philosophy Undular bores in Colloidal Media An, Xin
    Doctor of Philosophy A study of some efficient numerical techniques used in pricing options under stochastic volatility models Zeng, Xiangchen
    Master of Philosophy Post-Modern Phenomenon of Body-Modifying Devices: The Present, The Future, The Past. Bradley-Munn, Sharon
    Doctor of Philosophy Optical solitary waves in thermal media Louis, Simon
    Doctor of Philosophy Process intensi cation for autothermal reaction Saleh, Manal

Education And Training


  • Ph.D. in Applied Mathematics 1988

Keywords


  • applied mathematics

    nonlinear waves

    nonlinear optics

    reaction-diffusion equations

    mathematical modelling

     

Web Of Science Researcher Id


  • F-6514-2013
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