Blow-Up Phenomena for a Singular Parabolic Problem

DOI10.1081/PDE-200050085zbMath1073.35121OpenAlexW2031563772MaRDI QIDQ4678929

E. Vilucchi, Michiel Bertsch, Rein van der Hout

Publication date: 23 May 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-200050085

zbMATH Keywords

harmonic mapheat flowBlow upcorotational harmonic mapirreversible blow up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Cites Work

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• Nonuniqueness for the heat flow of harmonic maps on the disk
• On the nonexistence of finite time bubble trees in symmetric harmonic map heat flows from the disk to the 2-sphere.
• Uniqueness for the harmonic map flow from surfaces to general targets
• Equivariant wave maps in two space dimensions
• Formal Asymptotics of Bubbling in the Harmonic Map Heat Flow

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