Abstract
Two-dimensional flow of an incompressible, inviscid fluid in a region with a horizontal bottom of infinite extent and a free upper surface is considered. The fluid is acted on by gravity and has a non-diffusive, heterogeneous density which may be discontinuous. It is shown that the governing equations allow both periodic and single-crested progressing waves of permanent form, the analogues, respectively, of the classical cnoidal and solitary waves. These waves are shown to be critical points of flow related functionals and are proved to exist by means of a variational principle.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
