The blow-up rate for the heat equation with a non-linear boundary condition
β Scribed by Marek Fila; Pavol Quittner
- Publisher
- John Wiley and Sons
- Year
- 1991
- Tongue
- English
- Weight
- 323 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0170-4214
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π SIMILAR VOLUMES
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
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In this paper, we establish the local existence of the solution and the finite time blow-up result for the equation where T U is the blow-up time.