A system of phase ÿeld equations of Penrose-Fife-type governing the dynamics of phase transitions with a conserved order parameter is considered. As in the original model, the heat ux is assumed to be given by the Fourier law. Existence of weak solutions is proved for the related initial-Neumann bou
✦ LIBER ✦
Universal Attractor for a Penrose-Fife System with Special Heat Flux Law
✍ Scribed by Elisabetta Rocca; Giulio Schimperna
- Book ID
- 105751580
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2004
- Tongue
- English
- Weight
- 229 KB
- Volume
- 1
- Category
- Article
- ISSN
- 1660-5446
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📜 SIMILAR VOLUMES
The conserved Penrose–Fife system with F
✍
Elisabetta Rocca; Giulio Schimperna
📂
Article
📅
2003
🏛
Elsevier Science
🌐
English
⚖ 156 KB
Blow-up analysis for a system of heat eq
✍
Xianfa Song
📂
Article
📅
2008
🏛
Elsevier Science
🌐
English
⚖ 273 KB
We consider a system of heat equations u t = ∆u and v t = ∆v in Ω × (0, T ) completely coupled by nonlinear boundary conditions ∂u ∂η = e pv u α , ∂v ∂η = u q e βv on ∂Ω × (0, T ). We prove that the solutions always blow up in finite time for non-zero and non-negative initial values. Also, the blow