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We construct new degree ten plane curves having six [3, 3] points that do not belong to a conic and degree ten plane curves with five [3, 3] points and a quadruple point, having the six singularities that again do not lie on a conic. In the second family we find an irriducible curve.
We study the weakly non linear solutions of theDubreil-Jacotin—Long elliptic equation in a strip, which describes two dimensional gravity internal waves propagating steadily in a stratified fluid. In the neighborhood of the first critical value of the Froude number, the center manifold theorem...
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