Singularities of first kind in the harmonic map and Yang-Mills heat flows

DOI10.1007/s002090100306zbMath1060.53071OpenAlexW2011600884MaRDI QIDQ1433400

Andreas Gastel

Publication date: 17 June 2004

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002090100306

zbMATH Keywords

harmonic mapYang-Mills heat flowfirst kind singularity

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Differential geometric aspects of harmonic maps (53C43) Harmonic maps, etc. (58E20)

Related Items (20)

Liouville property for a class of quasi-harmonic sphere ⋮ Construction of a spectrally stable self-similar blowup solution to the supercritical corotational harmonic map heat flow ⋮ Non existence of quasi-harmonic spheres ⋮ Recent results for the Landau-Lifshitz equation ⋮ Singularity formation of the Yang-Mills flow ⋮ Stable blowup for the supercritical hyperbolic Yang-Mills equations ⋮ Critical \(O(d)\)-equivariant biharmonic maps ⋮ Stable self-similar blowup in the supercritical heat flow of harmonic maps ⋮ Transition of blow-up mechanisms ink-equivariant harmonic map heat flow ⋮ Yang-Mills flow on special-holonomy manifolds ⋮ Nonlinear stability of homothetically shrinking Yang-Mills solitons in the equivariant case ⋮ Local regularity for the harmonic map and Yang-Mills heat flows ⋮ \(\mathcal{F}\)-stability of self-similar solutions to harmonic map heat flow ⋮ Self-similar shrinkers of the one-dimensional Landau-Lifshitz-Gilbert equation ⋮ Elliptic equations strongly degenerate at a point ⋮ Liouville theorems for quasi-harmonic functions ⋮ Self-similar solutions of Schrödinger flows ⋮ Stabilities of homothetically shrinking Yang-Mills solitons ⋮ The Yang-Mills heat equation with finite action in three dimensions ⋮ Nonuniqueness for the Yang--Mills heat flow.

This page was built for publication: Singularities of first kind in the harmonic map and Yang-Mills heat flows