Solitary Wave Solutions to a Class of Modified Green–Naghdi Systems
(2018) In Journal of Mathematical Fluid Mechanics 20(3). p.1059-1091- Abstract
We provide the existence and asymptotic description of solitary wave solutions to a class of modified Green–Naghdi systems, modeling the propagation of long surface or internal waves. This class was recently proposed by Duchêne et al. (Stud Appl Math 137:356–415, 2016) in order to improve the frequency dispersion of the original Green–Naghdi system while maintaining the same precision. The solitary waves are constructed from the solutions of a constrained minimization problem. The main difficulties stem from the fact that the functional at stake involves low order non-local operators, intertwining multiplications and convolutions through Fourier multipliers.
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https://lup.lub.lu.se/record/836f83ca-cdec-4fc5-bce1-6b8cce989523
- author
- Duchêne, Vincent ; Nilsson, Dag LU and Wahlén, Erik LU
- organization
- publishing date
- 2018-09-01
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Mathematical Fluid Mechanics
- volume
- 20
- issue
- 3
- pages
- 33 pages
- publisher
- Birkhäuser
- external identifiers
-
- scopus:85051423858
- ISSN
- 1422-6928
- DOI
- 10.1007/s00021-017-0355-0
- project
- Nonlinear Water Waves
- language
- English
- LU publication?
- yes
- id
- 836f83ca-cdec-4fc5-bce1-6b8cce989523
- date added to LUP
- 2018-09-07 12:05:34
- date last changed
- 2024-07-22 21:33:00
@article{836f83ca-cdec-4fc5-bce1-6b8cce989523, abstract = {{<p>We provide the existence and asymptotic description of solitary wave solutions to a class of modified Green–Naghdi systems, modeling the propagation of long surface or internal waves. This class was recently proposed by Duchêne et al. (Stud Appl Math 137:356–415, 2016) in order to improve the frequency dispersion of the original Green–Naghdi system while maintaining the same precision. The solitary waves are constructed from the solutions of a constrained minimization problem. The main difficulties stem from the fact that the functional at stake involves low order non-local operators, intertwining multiplications and convolutions through Fourier multipliers.</p>}}, author = {{Duchêne, Vincent and Nilsson, Dag and Wahlén, Erik}}, issn = {{1422-6928}}, language = {{eng}}, month = {{09}}, number = {{3}}, pages = {{1059--1091}}, publisher = {{Birkhäuser}}, series = {{Journal of Mathematical Fluid Mechanics}}, title = {{Solitary Wave Solutions to a Class of Modified Green–Naghdi Systems}}, url = {{http://dx.doi.org/10.1007/s00021-017-0355-0}}, doi = {{10.1007/s00021-017-0355-0}}, volume = {{20}}, year = {{2018}}, }