Stability of periodic traveling flexural-gravity waves in two dimensions-Reference-Cited by-同舟云学术

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Stability of periodic traveling flexural-gravity waves in two dimensions

Published:2018-10-12 Issue:1 Volume:142 Page:65-90
ISSN:0022-2526
Container-title:Studies in Applied Mathematics
language:en
Short-container-title:Studies in Applied Mathematics

Author:

Trichtchenko Olga¹^ORCID,Milewski Paul²^ORCID,Părău Emilian³,Vanden-Broeck Jean-Marc⁴

Affiliation:

1. Department of Physics and Astronomy; University of Western Ontario; London ON Canada

2. Department of Mathematical Sciences; University of Bath; Bath UK

3. School of Mathematics; University of East Anglia; Norwich UK

4. Department of Mathematics; University College London; London UK

Funder

Engineering and Physical Sciences Research Council

Publisher

Wiley

Subject

Applied Mathematics

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1111/sapm.12233/fullpdf

Reference38 articles.

1. Wave motion in hydrodynamics;Greenhill;Am J Math,1886

2. Of ocean waves and sea ice;Squire;Annu Rev Fluid Mech,1995

3. Of ocean waves and sea-ice revisited;Squire;Cold Reg Sci Technol,2007

4. Three dimensional flexural-gravity waves;Milewski;Stud Appl Math,2013

5. Modelling nonlinear hydroelastic waves;Plotnikov;Philos Trans R Soc Lond A Math Phys Eng Sci,2011

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3. Whitham modulation theory for generalized Whitham equations and a general criterion for modulational instability;Studies in Applied Mathematics;2021-05-25

4. Progressive flexural–gravity waves with constant vorticity;Journal of Fluid Mechanics;2020-10-23

5. Wilton Ripples in Weakly Nonlinear Dispersive Models of Water Waves: Existence and Analyticity of Solution Branches;Water Waves;2020-04-22

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