Global nonexistence of solutions for a system of nonlinear viscoelastic wave equations with degenerate damping and source terms

• Published in: Український математичний журнал
• Date: 2013
• ISSN: 1027-3190
• Main Authors: Ouchenane, D., Zennir, Kh., Bayoud, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165323
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Global nonexistence of solutions for a system of nonlinear viscoelastic wave equations with degenerate damping and source terms / D. Ouchenane, Kh. Zennir, M. Bayoud // Український математичний журнал. — 2013. — Т. 65, № 5. — С. 654–669. — Бібліогр.: 29 назв. — англ.

The global existence and nonexistence of solutions for a system of nonlinear wave equations with degenerate damping and source terms supplemented with initial and Dirichlet boundary conditions was shown by Rammaha and Sakuntasathien in a bounded domain Ω ⊂ Rⁿ, n = 1, 2, 3, in the case where the init...