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

  • 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
How to Cite
KomarenkoA. 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.
Section
Research articles