Three-Dimensional Steady Capillary-Gravity Waves

Mariana Hărăguş-Courcelle and Klaus Kirchgässner
Additional contact information
Mariana Hărăguş-Courcelle: Universität Stuttgart, Mathematisches Institut A
Klaus Kirchgässner: Universität Stuttgart, Mathematisches Institut A

A chapter in Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, 2001, pp 363-397 from Springer

Abstract: Abstract Three-dimensional steady capillary-gravity water-waves are studied in this paper. Potential flow of an ideal fluid in a layer with finite depth and upper free surface is considered. The existence of these waves is derived through bifurcation processes from the state of rest. The waves are assumed to be periodic in the direction of propagation and just bounded in the transverse direction (modulated periodic travelling waves — MPTW). Restricting the analysis to small amplitude waves, one can reduce the problem to a finite-dimensional reversible and reflectionally symmetric dynamical system. Existence and full information about the geometry of the shape of possible crests then follows via normal form analysis and persistence.

Keywords: Normal Form; Solitary Wave; Invariant Subspace; Water Wave; Imaginary Axis (search for similar items in EconPapers)
Date: 2001
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-56589-2_16

Ordering information: This item can be ordered from
http://www.springer.com/9783642565892

DOI: 10.1007/978-3-642-56589-2_16

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().