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DEVELOPMENT OF RIGOROUS METHODS IN FLUID MECHANICS AND THEORY OF WATER WAVES

Part of: Representations of solutions Incompressible inviscid fluids General and miscellaneous specific topics

Published online by Cambridge University Press:  11 September 2020

ANDREI ERMAKOV Open the ORCID record for ANDREI ERMAKOV [Opens in a new window]
ANDREI ERMAKOV*
Affiliation:
Centre for Ocean Energy Research, Maynooth University, Maynooth, Co. Kildare, Ireland
*
e-mail: [email protected]
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Abstract

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Keywords

water waveswave scatteringsolitary waveforced Korteweg–de Vries equation

MSC classification

Primary: 76B25: Solitary waves
Secondary: 00A69: General applied mathematics 35C08: Soliton solutions 76B15: Water waves, gravity waves; dispersion and scattering, nonlinear interaction
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 103 , Issue 2 , April 2021 , pp. 350 - 352
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

Footnotes

Thesis submitted to the University of Southern Queensland in September 2019; degree approved on 30 March 2020; supervisors Yury Stepanyants and Dmitry Strunin.

References

Churilov, S. M., Ermakov, A. M., Rousseaux, G. and Stepanyants, Y. A., ‘Scattering of long water waves in a canal with rapidly varying cross-section in the presence of a current’, Phys. Rev. Fluids 2(9) (2017), Article ID 094805.CrossRefGoogle Scholar
Churilov, S. M., Ermakov, A. M. and Stepanyants, Y. A., ‘Wave scattering in spatially inhomogeneous currents’, Phys. Rev. D 96(6) (2017), Article ID 064016.CrossRefGoogle Scholar
Ermakov, A. M. and Stepanyants, Y. A., ‘Soliton interaction with external forcing within the Korteweg–de Vries equation’, Chaos 29(1) (2019), Article ID 013117.CrossRefGoogle ScholarPubMed
Ermakov, A. M. and Stepanyants, Y. A., ‘Transformation of long surface and tsunami-like waves in the ocean with a variable bathymetry’, Pure Appl. Geophys. 177 (2020), 1675–1693.CrossRefGoogle Scholar