Global Dynamics to the Periodic Ferromagnetic Spin Chain System

PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Electro- and magnetostatics (78A30) Statistical mechanics of magnetic materials (82D40) Integro-partial differential equations (35R09) Quasilinear parabolic equations (35K59) PDEs in connection with statistical mechanics (35Q82)

Cites Work

Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem
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Global Schrödinger maps in dimensions \(d\geq 2\): small data in the critical Sobolev spaces
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Semigroups of linear operators and applications to partial differential equations
The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic maps
A simple unified approach to some convergence theorems of L. Simon
Local Schrödinger flow into Kähler manifolds
On the continuous limit for a system of classical spins
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On global dynamics of Schrödinger map flows on hyperbolic planes near harmonic maps
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On the Landau-Lifshitz equation in dimensions at most four
An Approximation Scheme for Schrödinger Maps
Schrödinger maps
Existence of Partially Regular Solutions for Landau–Lifshitz Equations in ℝ³
Asymptotic Stability of Harmonic Maps on the Hyperbolic Plane under the Schrödinger Maps Evolution
Existence and uniqueness of local regular solution to the Schrödinger flow from a bounded domain in \(\mathbb{R}^3\) into \(\mathbb{S}^2\)
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