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SOLUTIONS OF FOURTH-ORDER EVOLUTION EQUATIONS IN MATERIAL SCIENCE

Part of: Parabolic equations and systems

Published online by Cambridge University Press:  05 October 2020

DILRUK GALLAGE Open the ORCID record for DILRUK GALLAGE [Opens in a new window]
DILRUK GALLAGE*
Affiliation:
Department of Mathematics, University of Colombo, Colombo00700, Sri Lanka
*
e-mail: [email protected]
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Abstract

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Keywords

fourth-order diffusioninverse methodsimilarity solutionsnonlinear PDEAllen–Cahn equationCahn–Hilliard equationnonlinear reaction–diffusion

MSC classification

Primary: 35K55: Nonlinear parabolic equations
Secondary: 35K57: Reaction-diffusion equations
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 103 , Issue 3 , June 2021 , pp. 513 - 514
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

Footnotes

Thesis submitted to La Trobe University in January 2020; degree approved on 12 February 2020; principal supervisor Philip Broadbridge, cosupervisors Dimetre Triadis and Pierluigi Cesana.

References

Broadbridge, P., Triadis, D., Gallage, D. and Cesana, P., ‘Nonclassical symmetry solutions for fourth-order phase field reaction–diffusion’, Symmetry 10(3) (2018), Article ID 72.CrossRefGoogle Scholar
Gallage, D., Triadis, D., Broadbridge, P. and Cesana, P., ‘Solution for 4th-order nonlinear axisymmetric surface diffusion by inverse method’, Phys. D 405 (2020), Article ID 132288.CrossRefGoogle Scholar