Rotationally Symmetric 1-Harmonic Flows From $D^2$ to $S^2$: Local Well-Posedness and Finite Time Blowup

DOI10.1137/090764293zbMath1230.35046OpenAlexW2086520448MaRDI QIDQ5198433

Lorenzo Giacomelli, Salvador Moll

Publication date: 8 August 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/090764293

zbMATH Keywords

Dirichlet problemimage processinglocal existenceblow-uprotational symmetryferromagnetismsectorial operators1-harmonic flow

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Degenerate parabolic equations (35K65) Liquid crystals (76A15) Harmonic maps, etc. (58E20) Statistical mechanics of magnetic materials (82D40) Blow-up in context of PDEs (35B44) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (6)

The 1-harmonic flow with values into a smooth planar curve ⋮ Rotationally symmetric \(p\)-harmonic flows from \(D^2\) to \(S^2\): local well-posedness and finite time blow-up ⋮ Regular 1-harmonic flow ⋮ Very singular diffusion equations: second and fourth order problems ⋮ Well posedness of sudden directional diffusion equations ⋮ A counterexample to finite time stopping property for one-harmonic map flow

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