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- W4319337280 abstract "The present work concerns two mathematical problems on wave in a stratified body of water governed by the incompressible Euler equations. In the first part, we present a large-amplitude existence theory for two-dimensional solitary waves by means of a global bifurcation theoretic approach. That is for any piece-wise smooth upstream density distribution and laminar background current, we construct a global curve of solutions. This curve bifurcates from the background current and, following along the curve, we find waves that are arbitrarily close to having horizontal stagnation points. The second part of the work tackles the problem on orbital stability of solitary waves under the presence of surface tension and constant vorticities. Using a spatial dynamics technique, we established the existence of such waves. Following that, we proved an orbital stability result. It is accomplished via a variant of Grillakis-Shatah-Strauss method." @default.
- W4319337280 created "2023-02-08" @default.
- W4319337280 creator A5048836541 @default.
- W4319337280 date "2023-02-07" @default.
- W4319337280 modified "2023-10-18" @default.
- W4319337280 title "Global bifurcation and stability of solitary waves in two-layer water" @default.
- W4319337280 doi "https://doi.org/10.32469/10355/93989" @default.
- W4319337280 hasPublicationYear "2023" @default.
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