Stable self-similar blowup in the supercritical heat flow of harmonic maps
From MaRDI portal
Publication:1688775
DOI10.1007/s00526-017-1256-zzbMath1381.58006arXiv1610.09497OpenAlexW2964181051WikidataQ59602846 ScholiaQ59602846MaRDI QIDQ1688775
Birgit Schörkhuber, Roland Donninger, Paweł Biernat
Publication date: 11 January 2018
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.09497
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On blowup in supercritical wave equations
- Stable self-similar blow up for energy subcritical wave equations
- Stable self-similar blowup in energy supercritical Yang-Mills theory
- Selfsimilar expanders of the harmonic map flow
- Stability of the blow-up profile for equations of the type \(u_ t=\Delta u+| u| ^{p-1}u\)
- Partial differential equations. III: Nonlinear equations.
- On the evolution of harmonic mappings of Riemannian surfaces
- On the evolution of harmonic maps in higher dimensions
- Blow-up and global existence for heat flows of harmonic maps
- The existence of minimal immersions of 2-spheres
- Finite-time blow-up of the heat flow of harmonic maps from surfaces
- Existence of the self-similar solutions in the heat flow of harmonic maps
- Singularities of first kind in the harmonic map and Yang-Mills heat flows
- Stable blowup for wave equations in odd space dimensions
- Winding behaviour of finite-time singularities of the harmonic map heat flow
- On singularities of the heat flow for harmonic maps from surfaces into spheres
- Stable blowup for the supercritical Yang-Mills heat flow
- Quantized slow blow-up dynamics for the corotational energy-critical harmonic heat flow
- Global existence and blow-up for harmonic map heat flow
- Differentiable even functions
- Nonexistence of Shrinkers for the Harmonic Map Flow in Higher Dimensions
- On stable self-similar blowup for equivariant wave maps
- Harmonic Maps and Minimal Immersions with Symmetries (AM-130)
- Shrinkers, expanders, and the unique continuation beyond generic blowup in the heat flow for harmonic maps between spheres
- Construction of a spectrally stable self-similar blowup solution to the supercritical corotational harmonic map heat flow
- Asymptotically self‐similar blow‐up of semilinear heat equations
- Harmonic Mappings of Spheres
- Bubbling of the heat flows for harmonic maps from surfaces
- Formal Asymptotics of Bubbling in the Harmonic Map Heat Flow
- On Uniqueness for the Harmonic Map Heat Flow in Supercritical Dimensions
- Existence of a stable blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term
- Universality in blow-up for nonlinear heat equations
- Stable Blowup Dynamics for the 1‐Corotational Energy Critical Harmonic Heat Flow
- On the Stability of Type I Blow Up For the Energy Super Critical Heat Equation
- Type II Blow-up Mechanism for Supercritical Harmonic Map Heat Flow
- Stable blow up dynamics for energy supercritical wave equations
- Non-self-similar blow-up in the heat flow for harmonic maps in higher dimensions
- Harmonic Mappings of Riemannian Manifolds