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Stability of the blow-up profile of non-linear heat equations from the dynamical system point of view

✍ Scribed by C. Fermanian Kammerer; F. Merle; H. Zaag


Publisher
Springer
Year
2000
Tongue
English
Weight
292 KB
Volume
317
Category
Article
ISSN
0025-5831

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The Blow-up Rate for a System of Heat Eq
✍ Julio D. Rossi πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 222 KB πŸ‘ 2 views

Under some natural hypothesis on the matrix P"(p GH ) that guarrantee the blow-up of the solution at time ΒΉ, and some assumptions of the initial data u G , we find that if "" x """1 then u G (x , t)goestoinfinitylike(ΒΉ!t) G /2 , where the G (0 are the solutions of (P!Id) ( , )R"(!1, !1)R. As a corol