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Blow-up analysis for a system of heat equations with nonlinear flux which obey different laws

✍ Scribed by Xianfa Song

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
273 KB
Volume
69
Category
Article
ISSN
0362-546X

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✦ Synopsis

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-up only occurs on ∂Ω with

for p, q > 0, 0 ≤ α < 1 and 0 ≤ β < p.

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Blow-up analysis for a system of heat eq
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✍ Xianfa Song 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 128 KB 👁 1 views

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