𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A blow up result for a fractionally damped wave equation

✍ Scribed by Nasser-eddine Tatar

Publisher
SP Birkhäuser Verlag Basel
Year
2005
Tongue
English
Weight
163 KB
Volume
12
Category
Article
ISSN
1021-9722

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we prove a blow up result for solutions of the wave equation with damping of fractional order and in presence of a polynomial source. This result improves a previous result in [5]. There we showed that the classical energy is unbounded provided that the initial data are large enough.

📜 SIMILAR VOLUMES

A blow-up result for the periodic Camass
A blow-up result for the periodic Camassa-Holm equation
✍ Erik Wahlén 📂 Article 📅 2005 🏛 Springer 🌐 English ⚖ 78 KB

We present a blow-up criterion for the periodic Camassa-Holm equation. The condition obtained for blow-up uses two of the conservation laws associated with the equation and improves upon some recent results. ## Introduction. The nonlinear partial differential equation is a bi-Hamiltonian system [1

Blow up of positive initial energy solut
Blow up of positive initial energy solutions for a wave equation with fractional boundary dissipation
✍ Liqing Lu; Shengjia Li 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 221 KB

In this paper, we consider a strongly damped wave equation with fractional damping on part of its boundary and also with an internal source. Under some appropriate assumptions on the parameters, and with certain initial data, a blow-up result with positive initial energy is established.

Blow-up for a nonlocal parabolic equatio
Blow-up for a nonlocal parabolic equation
✍ Fei Liang; Yuxiang Li 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 643 KB

In this paper, we consider the blow-up properties of the radial solutions of the nonlocal parabolic equation with homogeneous Dirichlet boundary condition, where λ, p > 0, 0 < α ≤ 1. The criteria for the solutions to blow-up in finite time is given. It is proved that the blow-up is global and unifo