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Comparative analysis of a jack-up drilling unit with different leg systems

✍ Scribed by Xiangang Ren, Yong Bai, Lusheng Jia

Book ID
118818654
Publisher
Harbin Engineering University
Year
2012
Tongue
English
Weight
712 KB
Volume
11
Category
Article
ISSN
1671-9433

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Blow-up analysis for a system of heat eq
Blow-up analysis for a system of heat equations with nonlinear flux which obey different laws
✍ Xianfa Song πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 273 KB

We consider a system of heat equations u t = βˆ†u and v t = βˆ†v in Ω Γ— (0, T ) completely coupled by nonlinear boundary conditions βˆ‚u βˆ‚Ξ· = e pv u Ξ± , βˆ‚v βˆ‚Ξ· = u q e Ξ²v on βˆ‚β„¦ Γ— (0, T ). We prove that the solutions always blow up in finite time for non-zero and non-negative initial values. Also, the blow