2 problems

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Stability scaling conjecture for the Landau–Lifshitz equation
For the Landau–Lifshitz equation and its homogenized equation, let $\Delta t$ be the time-step size and $\Delta x$ the spatial mesh size. Let $\alpha$ be the damping parameter, and…
Conjectureopenlandau-lifshitz-equation numerical-analysis stabilityarXiv posted 2 days ago
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Physical asymptotic approximation conjecture for the Landau–Lifshitz equation
Physical asymptotic approximation conjecture. In the regime $\lambda_1\ll\lambda_3$ , the dynamics can be described by the Sine–Gordon equation, while in the regime…
Conjectureopenlandau-lifshitz-equation nonlinear-schrodinger-equation sine-gordon-equationarXiv posted 2 days ago

Stability scaling conjecture for the Landau–Lifshitz equation