Nonsimultaneous blowup for a complex valued semilinear heat equation

DOI10.1016/j.jde.2017.05.024zbMath1435.35207OpenAlexW2621200736MaRDI QIDQ2013906

Junichi Harada

Publication date: 10 August 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2017.05.024

zbMATH Keywords

semilinear heat equationsimultaneous blow-up

Mathematics Subject Classification ID

Blow-up in context of PDEs (35B44) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91) Self-similar solutions to PDEs (35C06)

Related Items (3)

Construction of type II blow-up solutions for a semilinear parabolic system with higher dimension ⋮ Saddle-type blow-up solutions with computer-assisted proofs: validation and extraction of global nature ⋮ Complex valued semi-linear heat equations in super-critical spaces \(E^s_\sigma\)

Cites Work

• Blowup profile for a complex valued semilinear heat equation
• Stability of the blow-up profile for equations of the type \(u_ t=\Delta u+| u| ^{p-1}u\)
• Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity
• Profile for a Simultaneously Blowing up Solution to a Complex Valued Semilinear Heat Equation
• Explicit solutions of the viscous model vorticity equation
• Refined asymptotics for the blowup of u_t — δu = u^p
• On global solutions for the Constantin–Lax–Majda equation with a generalized viscosity term
• A simple one‐dimensional model for the three‐dimensional vorticity equation
• Universality in blow-up for nonlinear heat equations
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