Type II Blow-up Mechanism for Supercritical Harmonic Map Heat Flow

DOI10.1093/imrn/rnx122zbMath1427.35100arXiv1601.01831OpenAlexW2963544055MaRDI QIDQ5243293

Yukihiro Seki, Paweł Biernat

Publication date: 18 November 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.01831

zbMATH Keywords

self-similar solutionharmonic mapheat flowsupercriticalgradient blow-up

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Harmonic maps, etc. (58E20) Second-order parabolic systems (35K40) Blow-up in context of PDEs (35B44) Geometric evolution equations (53E99)

Related Items (8)

Stable self-similar blowup in the supercritical heat flow of harmonic maps ⋮ Curvature Blow-up in Doubly-warped Product Metrics Evolving by Ricci Flow ⋮ Transition of blow-up mechanisms ink-equivariant harmonic map heat flow ⋮ Nonlinear stability of homothetically shrinking Yang-Mills solitons in the equivariant case ⋮ Refined construction of type II blow-up solutions for semilinear heat equations with Joseph-Lundgren supercritical nonlinearity ⋮ Strongly anisotropic type II blow up at an isolated point ⋮ Type II blow-up mechanisms in a semilinear heat equation with Lepin exponent ⋮ Complete classification of gradient blow-up and recovery of boundary condition for the viscous Hamilton-Jacobi equation

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