Convergence to harmonic maps for the Landau-Lifshitz flows between two dimensional hyperbolic spaces (Q1633146)

scientific article

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English	Convergence to harmonic maps for the Landau-Lifshitz flows between two dimensional hyperbolic spaces	scientific article

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scholarly article

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title

Convergence to harmonic maps for the Landau-Lifshitz flows between two dimensional hyperbolic spaces (English)

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Discrete and Continuous Dynamical Systems

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publication date

19 December 2018

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full work available at URL

https://arxiv.org/abs/1611.10180

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zbMATH Keywords

Landau-Lifshitz

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asymptotic behavior

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hyperbolic space

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MaRDI profile type

MaRDI publication profile

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cites work

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Q4307544

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

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Schrödinger maps

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Heat Kernel Bounds on Hyperbolic Space and Kleinian Groups

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Local Schrödinger flow into Kähler manifolds

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Harmonic Mappings of Riemannian Manifolds

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The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps

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Asymptotic stability of harmonic maps under the Schrödinger 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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Harmonic maps of manifolds with boundary

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Harmonic extensions of quasiconformal maps to hyperbolic space

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On Homotopic Harmonic Maps

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Sobolev spaces on Riemannian manifolds

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Q3897665

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On the global well-posedness of energy-critical Schrödinger equations in curved spaces

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The Cauchy problem for wave maps on a curved background

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Profile decompositions for wave equations on hyperbolic space with applications

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Gap eigenvalues and asymptotic dynamics of geometric wave equations on hyperbolic space

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The Cauchy Problem for Wave Maps on Hyperbolic Space in Dimensions $d\geq 4$

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Stability of stationary equivariant wave maps from the hyperbolic plane

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Heat flows on hyperbolic spaces

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Differential Harnack inequalities on Riemannian manifolds. I: Linear heat equation

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The heat equation and harmonic maps of complete manifolds

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On the parabolic kernel of the Schrödinger operator

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Asymptotic stability of large energy harmonic maps under the wave map from 2D hyperbolic spaces to 2D hyperbolic spaces

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Asymptotic behaviors of Landau-Lifshitz flows from $\mathbb {R}^2$ to Kähler manifolds

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An Approximation Scheme for Schrödinger Maps

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Existence of Partially Regular Solutions for Landau–Lifshitz Equations in ℝ<sup>3</sup>

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Existence and uniqueness of smooth solution for system of ferromagnetic chain

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Identifiers

zbMATH Open document ID

1405.58008

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1633146