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Article Dans Une Revue Communications in Partial Differential Equations Année : 2015

Construction of a blow-up solution for a complex nonlinear heat equation.

Résumé

We construct a solution to a complex nonlinear heat equation which blows up in nite time T only at one blow-up point. We also give a sharp description of its blow-up pro le. The proof relies on the reduction of the problem to a nite dimensional one and the use of index theory to conclude. We note that the real and imaginary parts of the constructed solution blow up simultaneously.
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Dates et versions

hal-01252918 , version 1 (08-01-2016)

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  • HAL Id : hal-01252918 , version 1

Citer

Nejla Nouaili, Hatem Zaag. Construction of a blow-up solution for a complex nonlinear heat equation.. Communications in Partial Differential Equations, 2015, 40 (7), pp. 1197-1217. ⟨hal-01252918⟩
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