论文标题
椭圆形的限制问题
The restriction problem on the ellipsoid
论文作者
论文摘要
在欧几里得空间中的限制参数之后,我们为嵌入在$ \ mathbb r^3 $中的椭圆形的不可压缩流体流中提供了一个可能的粘度算子的几何不变公式。我们还根据与椭球相关的偏心率对公式的渐近扩展。
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.