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Marco Fasondini: Blow-up solutions of uₜ = uₓₓ + u² : numerics and asymptotics in the complex plane

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mercredi 05 avril 2023 mercredi 05 avril 2023

We present numerical and asymptotic results of our study of periodic blow-up solutions to the semilinear heat equation uₜ = uₓₓ + u² in the complex x-plane.  Time permitting, we’ll also present preliminary results on post-blow-up solutions, for which complexification of the time variable is useful.  This is joint work with John King (Nottingham) and Andre Weideman (Stellenbosch).


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