Asymptotics of solutions of spectral problems of hydrodynamics in the neighborhood of angular points

Authors

  • A. N. Komarenko

Abstract

At angular points on the boundary of a domain, we obtain an asymptotic expansion for the eigenfunctions of spectral problems that describe natural oscillations of an ideal liquid that partially fills a cavity in a solid body. We describe cases where the eigenfunctions have singularities at angular points.

Published

25.06.1998

Issue

Section

Research articles

How to Cite

Komarenko, A. N. “Asymptotics of Solutions of Spectral Problems of Hydrodynamics in the Neighborhood of Angular Points”. Ukrains’kyi Matematychnyi Zhurnal, vol. 50, no. 6, June 1998, pp. 803–811, https://umj.imath.kiev.ua/index.php/umj/article/view/4890.