We address the classical inverse problem of recovering the position and shape of obstacles immersed in a planar Stokes flow using boundary measurements. We prove that this problem can be transformed into a shape-from-moments problem to which ad hoc reconstruction methods can be applied. The effectiveness of this approach is confirmed by numerical tests that show significant improvements over those available in the literature to date.

翻译：本文研究利用边界测量恢复平面Stokes流中浸没障碍物位置与形状的经典反问题。我们证明该问题可转化为矩量逆推问题，并由此适用特定重构方法。数值实验证实该方法相较现有文献结果具有显著优势，验证了其有效性。