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

Name: Marco Fasondini: Blow-up solutions of uₜ = uₓₓ + u² : numerics and asymptotics in the complex plane
Start: 2023-04-05T16:15:00+02:00
End: 2023-04-05T17:15:00+02:00
Location: No location set

Wednesday Apr 5, 2023, 4:15 PM → 5:15 PM Europe/Paris

Description

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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