Averaging of the periodic by time boundary value problem for the nonlinear wave equation in a perforated domain

• Published in: Нелинейные граничные задачи
• Date: 1999
• Main Author: Sidenko, N.R.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 1999
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169277
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Averaging of the periodic by time boundary value problem for the nonlinear wave equation in a perforated domain / N.R. Sidenko // Нелинейные граничные задачи: сб. науч. тр. — 1999. — Т. 9. — С. 92-97. — Бібліогр.: 2 назв. — англ.

In a bounded domain with infinitely increasing quantity of infinitesimal holes whose asymptotic behaviour is described formally, the homogeneous Dirichlet problem for the equation with additional power nonlinearity on the time derivative of the solution is averaged.