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MATHEMATICAL ANALYSIS OF COMBUSTION WAVES IN COMPETITIVE EXOTHERMIC REACTIONS

Part of: Thermodynamics and heat transfer Parabolic equations and systems

Published online by Cambridge University Press:  19 July 2018

ZHEJUN HUANG
ZHEJUN HUANG*
Affiliation:
Applied and Industrial Mathematics (AIM) Research Group, School of Physical, Environmental and Mathematical Sciences, University of New South Wales at the Australian Defence Force Academy, Canberra, Australia email victor7hzj@sina.com
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Abstract

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Keywords

combustion wavescompetitive exothermic reactionsreaction–diffusion systemstability analysisbi-stability

MSC classification

Primary: 35K55: Nonlinear parabolic equations
Secondary: 35K57: Reaction-diffusion equations 80A25: Combustion
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 98 , Issue 2 , October 2018 , pp. 339 - 342
Copyright
© 2018 Australian Mathematical Publishing Association Inc. 

Footnotes

Thesis submitted to the University of New South Wales in August 2017; degree approved on 28 November 2017; supervisors Harvinder Sidhu, Isaac Towers and Zlatko Jovanoski.

References

Huang, Z., Sidhu, H. S., Towers, I. N., Jovanoski, Z. and Gubernov, V. V., ‘Reaction waves in solid fuels for adiabatic competitive exothermic reactions’, ANZIAM J(E) 56 (2015), C148–C162.Google Scholar
Huang, Z., Sidhu, H. S., Towers, I. N., Jovanoski, Z. and Gubernov, V. V., ‘Investigating flame fronts in competitive exothermic reactions’, in: MODSIM2015, 21st Int. Congr. Modelling and Simulation, Gold Coast, Australia, 2015 (Modelling and Simulation Society of Australia and New Zealand, Canberra, Australia, 2015), 64–70.Google Scholar
Huang, Z., Sidhu, H. S., Towers, I. N., Jovanoski, Z. and Gubernov, V. V., ‘Nonadiabatic combustion waves in a two-step competitive exothermic-reaction model’, ANZIAM J(E) 57 (2016), 14–31.Google Scholar
Huang, Z., Sidhu, H. S., Towers, I. N., Jovanoski, Z. and Gubernov, V. V., ‘Analysis of bi-stability in combustion waves’, in: Chemeca 2016, Chemical Engineering – Regeneration, Recovery and Reinvention, Adelaide, Australia (Engineers Australia, Melbourne, Australia, 2016), 242–251.Google Scholar
Huang, Z., Sidhu, H. S., Towers, I. N., Jovanoski, Z. and Gubernov, V. V., ‘Properties of combustion waves in a model with competitive exothermic reactions’, J. Math. Chem. 55(5) (2017), 1187–1201.Google Scholar
Huang, Z., Sidhu, H. S., Towers, I. N., Jovanoski, Z. and Gubernov, V. V., ‘Stability analysis of combustion waves for competitive exothermic reactions using Evans function’, Appl. Math. Model. 54 (2018), 347–360.Google Scholar