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Micromagnetics - Simple energy...

Simple energy... The Landau-Lifshitz model for ferromagnetic samples Ω states that the magnetization m, a vector field of unit length on Ω, is determined through the competition…

Micromagnetics - Micromagnetics

Micromagnetics Research Topic

Optimal transport - Multi-marginal

Multi-marginal A natural generalization of the optimal transport problem is the question of optimally coupling more than two measures, leading to the so-called multi-marginal optimal transport…

Optimal transport - More general cost funtions

More general cost funtions The aforementioned regularity results can be extended to cost functions that locally look like the Euclidean cost function \(|y-x|^2\), e.g. the geodesic distance squared…

Optimal transport

Regularity results for continuous densities were obtained in [12], while the boundary case was treated in [22]

Optimal transport

If this argument is not just formal, but can be made rigorous, we should expect that \(\tilde \phi\approx \phi\). This is the outcome of the harmonic approximation result in [13]. A quantified…
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