| Abstract: |
| We consider three-dimensional inviscid irrotational flow in a two layer fluid under the effects of gravity and surface tension. By using a spatial dynamics approach together with the center-manifold theorem we are able to prove the existence of waves that are periodic in some horizontal direction $z$, with a bounded profile in some other horizontal direction $x$. In addition we also find waves that are periodic in both $x$ and $z$. |
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