On the nonexistence of finite time bubble trees in symmetric harmonic map heat flows from the disk to the 2-sphere.

DOI10.1016/S0022-0396(03)00043-3zbMath1059.53054MaRDI QIDQ1399889

Rein van der Hout

Publication date: 30 July 2003

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

zbMATH Keywords

blow updownward energy jumpsfinite time singularities symmetrie

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Analyticity in context of PDEs (35A20) Harmonic maps, etc. (58E20)

Related Items

Bubble decomposition for the harmonic map heat flow in the equivariant case ⋮ Bubbling Blow-Up in Critical Parabolic Problems ⋮ Blow-Up Phenomena for a Singular Parabolic Problem ⋮ Singularity formation for the two-dimensional harmonic map flow into \(S^2\) ⋮ ENERGY CONCENTRATION FOR 2-DIMENSIONAL RADIALLY SYMMETRIC EQUIVARIANT HARMONIC MAP HEAT FLOWS

Cites Work

• On the evolution of harmonic mappings of Riemannian surfaces
• Finite-time blow-up of the heat flow of harmonic maps from surfaces
• Heat flow and boundary value problem for harmonic maps
• Nonuniqueness for the heat flow of harmonic maps on the disk
• Flow alignment in nematic liquid crystals in flows with cylindrical symmetry
• Uniqueness for the harmonic map flow from surfaces to general targets
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item