Blow up in a periodic semilinear heat equation

• Published in: Physica. D Vol. 446; p. 133660
• Main Authors: Fasondini, M., King, J.R., Weideman, J.A.C.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.04.2023
• Subjects: Complex singularities; Fourier spectral methods; Matched asymptotic expansions; Nonlinear blow up; Matched asymptotic expansions; Nonlinear blow up; Complex singularities; Fourier spectral methods

Blow up in a one-dimensional semilinear heat equation is studied using a combination of numerical and analytical tools. The focus is on problems periodic in the space variable and starting out from a nearly flat, positive initial condition. Novel results include asymptotic approximations of the solu...