Micromagnetics is a continuum variational theory describing magnetization patterns in
ferromagnetic media. Its multiscale nature due to different inherent spatiotemporal physical …

Page 1 The Nonlinear Schrödinger Equation: Self-Focusing and Wave Collapse Catherine
Sulem Pierre-Louis Sulem Springer Page 2 Applied Mathematical Sciences Volume 139 Editors …

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equation reads: zyxwvutsrqponmlkjihgfedcbaZYXWVUTSRQPONML Page 1 Nonlrnear …

We consider a general class of discrete nonlinear Schrödinger equations (DNLS) on the
lattice h Z with mesh size h> 0. In the continuum limit when h→ 0, we prove that the limiting …

Abstract CONTENTS Introduction § 1. Hyperbolic problems without dispersion. Asymptotic
decomposition of a small amplitude solution into simple waves § 2. The method of averaging …

One of the main difficulties in micromagnetics simulation is the severe time step constraint
introduced by the exchange field. Using standard explicit integrators leads to a physical time …

This is a comprehensive introduction to Landau-Lifshitz equations and Landau-Lifshitz-
Maxwell equations, beginning with the work by Yulin Zhou and Boling Guo in the early …

We consider the Schrödinger map initial-value problem \cases∂_tϕ=ϕ*Δϕ\,on\BbbR^d*\
BbbR,&\ϕ(0)=ϕ_0,&\endcases where ϕ: ℝ d× ℝ→ 𝕊 2↪ ℝ 3 is a smooth function. In all …

In this paper we show that there exists a unique local smooth solution for the Cauchy
problem of the Schrödinger flow for maps from a compact Riemannian manifold into a …

We propose a weak formulation for the binormal curvature flow of curves in R3. This
formulation is sufficiently broad to consider integral currents as initial data, and sufficiently …