Threshold for blowup for equivariant wave maps in higher dimensions

DOI10.1088/1361-6544/aa61abzbMath1378.35199arXiv1608.07707OpenAlexW2507190208MaRDI QIDQ5346530

Paweł Biernat, Piotr Bizoń, Maciej Maliborski

Publication date: 24 May 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07707

zbMATH Keywords

supercritical dimensionsself-similar blowupadaptive rescaling of coordinates

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Self-similar solutions to PDEs (35C06) Second-order semilinear hyperbolic equations (35L71)

Related Items (8)

Co-dimension one stable blowup for the supercritical cubic wave equation ⋮ On the existence and stability of blowup for wave maps into a negatively curved target ⋮ Construction of type II blowup solutions for the 1-corotational energy supercritical wave maps ⋮ Stable blowup for the supercritical hyperbolic Yang-Mills equations ⋮ Co-dimension one stable blowup for the quadratic wave equation beyond the light cone ⋮ On blowup for the supercritical quadratic wave equation ⋮ On blowup of co-rotational wave maps in odd space dimensions ⋮ Threshold for blowup for the supercritical cubic wave equation

Cites Work

• Mode stability of self-similar wave maps in higher dimensions
• Generic self-similar blowup for equivariant wave maps and Yang-Mills fields in higher dimensions
• On stable self-similar blowup for equivariant wave maps
• Solving Ordinary Differential Equations I
• Weak solutions and development of singularities of the SU(2) σ‐model
• Dispersion and collapse of wave maps
• Equivariant self-similar wave maps from Minkowski spacetime into 3-sphere
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