Stable Blowup Dynamics for the 1‐Corotational Energy Critical Harmonic Heat Flow (Q4906567)

scientific article; zbMATH DE number 6139702

Language	Label	Description	Also known as
English	Stable Blowup Dynamics for the 1‐Corotational Energy Critical Harmonic Heat Flow	scientific article; zbMATH DE number 6139702

Statements

instance of

scholarly article

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title

Stable Blowup Dynamics for the 1‐Corotational Energy Critical Harmonic Heat Flow (English)

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Communications on Pure and Applied Mathematics

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publication date

28 February 2013

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full work available at URL

https://arxiv.org/abs/1106.0914

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zbMATH Keywords

singularity formation

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concentration of a universal bubble

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MaRDI profile type

MaRDI publication profile

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cites work

The Radius of Vanishing Bubbles in Equivariant Harmonic Map Flow from $D^2$ to $S^2$

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Finite-time blow-up of the heat flow of harmonic maps from surfaces

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Q4729049

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Q3378992

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Energy identity for a class of approximate harmonic maps from surfaces

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Global existence and blow-up for harmonic map heat flow

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Asymptotic stability, concentration, and oscillation in harmonic map heat-flow, Landau-Lifshitz, and Schrödinger maps on $\mathbb R^2$

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Two-soliton solutions to the three-dimensional gravitational Hartree equation

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Renormalization and blow up for charge one equivariant critical wave maps

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A Liouville theorem for the critical generalized Korteweg-de Vries equation

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Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity

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Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation

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The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation

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Profiles and quantization of the blow up mass for critical nonlinear Schrödinger equation

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On a sharp lower bound on the blow-up rate for the 𝐿² critical nonlinear Schrödinger equation

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Blow up dynamics for smooth equivariant solutions to the energy critical Schrödinger map

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On the formation of singularities in solutions of the critical nonlinear Schrödinger equation

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Bubbling of the heat flows for harmonic maps from surfaces

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Existence and stability of a solution blowing up on a sphere for an $L^2$-supercritical nonlinear Schrödinger equation

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Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems

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Existence and uniqueness of minimal blow-up solutions to an inhomogeneous mass critical NLS

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On the formation of singularities in the critical $O(3)$ $\sigma $-model

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On the evolution of harmonic mappings of Riemannian surfaces

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The nonlinear Schrödinger equation. Self-focusing and wave collapse

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Winding behaviour of finite-time singularities of the harmonic map heat flow

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Formal Asymptotics of Bubbling in the Harmonic Map Heat Flow

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Identifiers

zbMATH Open document ID

1270.35136

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DOI

10.1002/cpa.21435

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4906567