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Approximate Symmetry Reduction and Infinite Series Solutions to the Nonlinear Wave Equation with Damping

✍ Scribed by Yuan, Zhao; Shun-Li, Zhang; Sen-Yue, Lou

Book ID
120562143
Publisher
Institute of Physics
Year
2009
Tongue
English
Weight
215 KB
Volume
26
Category
Article
ISSN
0256-307X

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✍ V. Georgiev; G. Todorova πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 375 KB

We study the nonlinear wave equation involving the nonlinear damping term \(u_{i}\left|u_{t}\right|^{m-1}\) and a source term of type \(u|u|^{p-1}\). For \(1<p \leqslant m\) we prove a global existence theorem with large initial data. For \(1<m<p\) a blow-up result is established for sufficiently la