𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Comparison of the solutions of a phase-lagging heat transport equation and damped wave equation with a heat source

✍ Scribed by Shengjun Su; Weizhong Dai


Book ID
108141160
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
212 KB
Volume
49
Category
Article
ISSN
0017-9310

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Existence of a Solution of the Wave Equa
✍ 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