Solitary Wave Solutions to a Class of Modified Green–Naghdi Systems

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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.

Detaljer

Författare
Enheter & grupper
Externa organisationer
  • University of Rennes I
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik
  • Strömningsmekanik och akustik
Originalspråkengelska
Sidor (från-till)1059-1091
Antal sidor33
TidskriftJournal of Mathematical Fluid Mechanics
Volym20
Utgivningsnummer3
StatusPublished - 2018 sep 1
PublikationskategoriForskning
Peer review utfördJa