Infinite-time blowing-up solutions to small perturbations of the Yamabe flow (Q6126740)

scientific article; zbMATH DE number 7829732

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English	Infinite-time blowing-up solutions to small perturbations of the Yamabe flow	scientific article; zbMATH DE number 7829732

Statements

instance of

scholarly article

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title

Infinite-time blowing-up solutions to small perturbations of the Yamabe flow (English)

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Advances in Mathematics

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publication date

10 April 2024

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full work available at URL

https://arxiv.org/abs/2106.09220

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zbMATH Keywords

Yamabe-type flow

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fast diffusion equation

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degenerate parabolic equation

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compact Riemannian manifold

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bubble

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MaRDI profile type

MaRDI publication profile

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cites work

Q4180668

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Formal Asymptotics of Bubbling in the Harmonic Map Heat Flow

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A note on the Sobolev inequality

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Sharp Extinction Rates for Fast Diffusion Equations on Generic Bounded Domains

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Behaviour near extinction for the fast diffusion equation on bounded domains

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Convergence of the Yamabe flow for arbitrary initial energy

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Convergence of the Yamabe flow in dimension 6 and higher

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Blow-up phenomena for the Yamabe equation. II

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Slowly converging Yamabe flows

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

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Clustered solutions for supercritical elliptic equations on Riemannian manifolds

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The yamabe flow on locally conformally flat manifolds with positive ricci curvature

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Green's function and infinite-time bubbling in the critical nonlinear heat equation

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Type II ancient compact solutions to the Yamabe flow

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Singularity formation for the two-dimensional harmonic map flow into \(S^2\)

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Infinite-time blow-up for the 3-dimensional energy-critical heat equation

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Geometry driven type II higher dimensional blow-up for the critical heat equation

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Nonscattering solutions and blowup at infinity for the critical wave equation

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Classification of the radial solutions of the focusing, energy-critical wave equation

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The effect of linear perturbations on the Yamabe problem

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Fast blow-up mechanisms for sign-changing solutions of a semilinear parabolic equation with critical nonlinearity

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A higher speed type II blowup for the five dimensional energy critical heat equation

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Smooth type II blow-up solutions to the four-dimensional energy-critical wave equation

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Construction of type II blow-up solutions for the energy-critical wave equation in dimension 5

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Construction of multi-bubble solutions for the energy-critical wave equation in dimension 5

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Optimal boundary regularity for fast diffusion equations in bounded domains

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Bubbling and extinction for some fast diffusion equations in bounded domains

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Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation

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A compactness theorem for the Yamabe problem

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Slow blow-up solutions for the \(H^1(\mathbb R^3)\) critical focusing semilinear wave equation

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Finite Time Blowup for the Nematic Liquid Crystal Flow in Dimension Two

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The Yamabe problem

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YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS

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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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Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem

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Blow-up solutions for asymptotically critical elliptic equations on Riemannian manifolds

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Clustering Phenomena for Linear Perturbation of the Yamabe Equation

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Towers of bubbles for Yamabe-type equations and for the Brézis-Nirenberg problem in dimensions \(n \geq 7\)

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

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

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Examples of non-isolated blow-up for perturbations of the scalar curvature equation on non-locally conformally flat manifolds

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

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Conformal deformation of a Riemannian metric to constant scalar curvature

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Convergence of the Yamabe flow for large energies

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Type II blow-up for the four dimensional energy critical semi linear heat equation

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Extinction behavior for the fast diffusion equations with critical exponent and Dirichlet boundary conditions

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Bubble towers in the ancient solution of energy-critical heat equation

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Positive clusters for smooth perturbations of a critical elliptic equation in dimensions four and five

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Repulsion and quantization in almost-harmonic maps, and asymptotic of the harmonic map flow

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Global existence and convergence of Yamabe flow

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Identifiers

arXiv ID

2106.09220

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DOI

10.1016/j.aim.2024.109611

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6126740