Bubble decomposition for the harmonic map heat flow in the equivariant case
From MaRDI portal
Publication:6090362
DOI10.1007/s00526-023-02597-1zbMath1527.35070arXiv2210.14963OpenAlexW4309066671MaRDI QIDQ6090362
Publication date: 14 November 2023
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2210.14963
Asymptotic behavior of solutions to PDEs (35B40) Differential geometric aspects of harmonic maps (53C43) Initial value problems for second-order parabolic equations (35K15) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic stability, concentration, and oscillation in harmonic map heat-flow, Landau-Lifshitz, and Schrödinger maps on \(\mathbb R^2\)
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Convergence of solutions of H-systems or how to blow bubbles
- On the evolution of harmonic mappings of Riemannian surfaces
- Finite-time blow-up of the heat flow of harmonic maps from surfaces
- Rigidity in the harmonic map heat flow
- On the nonexistence of finite time bubble trees in symmetric harmonic map heat flows from the disk to the 2-sphere.
- Winding behaviour of finite-time singularities of the harmonic map heat flow
- Repulsion and quantization in almost-harmonic maps, and asymptotic of the harmonic map flow
- On singularities of the heat flow for harmonic maps from surfaces into spheres
- Energy identity for a class of approximate harmonic maps from surfaces
- Profiles of bounded radial solutions of the focusing, energy-critical wave equation
- Dynamics of strongly interacting kink-antikink pairs for scalar fields on a line
- Singularity formation for the two-dimensional harmonic map flow into \(S^2\)
- Quantized slow blow-up dynamics for the corotational energy-critical harmonic heat flow
- Global existence and blow-up for harmonic map heat flow
- ENERGY CONCENTRATION FOR 2-DIMENSIONAL RADIALLY SYMMETRIC EQUIVARIANT HARMONIC MAP HEAT FLOWS
- On the Soliton Resolution for Equivariant Wave Maps to the Sphere
- Description of the lack of compactness for the Sobolev imbedding
- High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
- Bubbling of the heat flows for harmonic maps from surfaces
- Asymptotic decomposition for semilinear Wave and equivariant wave map equations
- Construction of two-bubble solutions for energy-critical wave equations
- Stable Blowup Dynamics for the 1‐Corotational Energy Critical Harmonic Heat Flow
- Continuous time soliton resolution for two-bubble equivariant wave maps