# Mathematics Colloquia and Seminars

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### Global existence and asymptotic behavior of affine solutions to the free boundary Euler equations in 3d

**PDE and Applied Math Seminar**

Speaker: | Thomas Sideris, UC Santa Barbara |

Location: | 1147 MSB |

Start time: | Fri, Apr 29 2016, 4:10PM |

We consider the initial free boundary value problem for the motion of ideal fluids surrounded by vacuum in 3d. In the special case of affine motion, the partial differential equations reduce to a globally solvable system of nonlinear ordinary differential equations. The evolving fluid domain is a rotating ellipsoid whose diameter grows at a rate proportional to time. After rescaling, we find that 1 or 2 of the major axes may degenerate, as time tends to infinity.