Asymptotics of solutions of spectral problems of hydrodynamics in the neighborhood of angular points
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.
English version (Springer): Ukrainian Mathematical Journal 50 (1998), no. 6, pp 912-921.
Citation Example: Komarenko A. N. Asymptotics of solutions of spectral problems of hydrodynamics in the neighborhood of angular points // Ukr. Mat. Zh. - 1998. - 50, № 6. - pp. 803–811.