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arXiv · 2203.16050

The restriction problem on the ellipsoid

Chi Hin Chan·Magdalena Czubak·Tsuyoshi Yoneda
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Abstract

Following a restriction argument in the Euclidean space, we derive a geometric invariant formula for a possible viscosity operator for an incompressible fluid flow on an ellipsoid embedded in $\mathbb R^3$. We also give an asymptotic expansion of the formula in terms of the eccentricity associated with the ellipsoid.

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Chi Hin Chan, Magdalena Czubak, Tsuyoshi Yoneda. 2022-03-30. The restriction problem on the ellipsoid. https://arxiv.org/abs/2203.16050

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