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Global existence and blow-up analysis to a degenerate reaction–diffusion system with nonlinear memory

✍ Scribed by Lili Du; Chunlai Mu

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
217 KB
Volume
9
Category
Article
ISSN
1468-1218

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Global existence and blow-up to a degene
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✍ Jun Zhou; Chunlai Mu; Mingshu Fan 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 266 KB

In this paper, we consider a degenerate reaction-diffusion system coupled by nonlinear memory. Under appropriate hypotheses, we prove that the solution either exists globally or blows up in finite time. Furthermore, the blow-up rates are obtained.

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This paper investigates the blow-up and global existence of solutions of the degenerate reactiondiffusion system with homogeneous Dirichlet boundary data, where ⊂ R N is a bounded domain with smooth boundary \* , m, n > 1, , 0 and p, q > 0. It is proved that if m > , n > and pq < (m -)(n -) every n