Abstract
This chapter contains the formulation of boundary and initial-boundary value problems in water waves. The basic equations here are the Euler equations and the equation of continuity for a non-viscous incompressible fluid moving under gravity. Throughout the book, in most considerations the motion is assumed to be irrotational and hence the existence of a velocity potential function is ensured in simply connected regions. In this case the equation of continuity for the velocity of fluid is then reduced to the familiar Laplace equation for the velocity potential function.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1985 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Timman, R., Hermans, A.J., Hsiao, G.C. (1985). Linear Theory of Water Waves. In: Water waves and ship hydrodynamics. Mechanics of Fluids and Transport Processes, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-3657-2_1
Download citation
DOI: https://doi.org/10.1007/978-94-017-3657-2_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-8292-3
Online ISBN: 978-94-017-3657-2
eBook Packages: Springer Book Archive