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

• Дата: 1998
• Автори: Komarenko, A. N., Комаренко, О. Н.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1998
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4890
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 p...