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). 

https://indico.math.cnrs.fr/event/9432/