𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Multidimensional viscoelasticity equations with nonlinear damping and source terms

✍ Scribed by Liu Yacheng; Zhao Junsheng


Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
257 KB
Volume
56
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Global existence and nonexistence for a
✍ Yong Zhou πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 209 KB

## Abstract In this paper we consider a nonlinear wave equation with damping and source term on the whole space. For linear damping case, we show that the solution blows up in finite time even for vanishing initial energy. The criteria to guarantee blowup of solutions with positive initial energy a

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

Global existence and blow-up of solution
✍ Xiaosen Han; Mingxin Wang πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 145 KB πŸ‘ 1 views

## Abstract In this paper we investigate the global existence and finite time blow‐up of solutions to the nonlinear viscoelastic equation associated with initial and Dirichlet boundary conditions. Here βˆ‚__j__ denote the sub‐differential of __j__. Under suitable assumptions on __g__(Β·), __j__(Β·) an