[-] Show simple item record

dc.contributor.advisorWalsh, Samueleng
dc.contributor.authorAkers, Adelaideeng
dc.date.issued2017eng
dc.date.submitted2017 Summereng
dc.description.abstractConsider a two-dimensional body of water with constant density which lies below a vacuum. The ocean bed is assumed to be impenetrable, while the boundary which separates the uid and the vacuum is assumed to be a free boundary. Under the assumption that the vorticity is only bounded and measurable, we prove that for any upstream velocity field, there exists a continuous curve of large-amplitude solitary wave solutions. This is achieved via a local and global bifurcation construction of weak solutions to the elliptic equations which constitute the steady water wave problem. We also show that such solutions possess a number of qualitative features; most significantly that each solitary wave is a symmetric, monotone wave of elevation.eng
dc.identifier.urihttps://hdl.handle.net/10355/62283
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcollectionUniversity of Missouri--Columbia. Graduate School. Theses and Dissertationseng
dc.rightsOpenAccesseng
dc.rights.licenseThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.eng
dc.subject.FASTWater waves -- Mathematicseng
dc.subject.FASTWater waves -- Researcheng
dc.titleLarge-amplitude solitary water waves with discontinuous vorticityeng
dc.typeThesiseng
thesis.degree.disciplineMathematics (MU)eng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


Files in this item

[PDF]
[PDF]

This item appears in the following Collection(s)

[-] Show simple item record