Can I read Another approach to the thin-film Gamma-limit of the micromagnetic free energy in the regime of small samples on EtoBox?

Another approach to the thin-film Gamma-limit of the micromagnetic free energy in the regime of small samples by Kreisbeck, Carolin is a scholarly article available to read on EtoBox.

What is Another approach to the thin-film Gamma-limit of the micromagnetic free energy in the regime of small samples about?

The asymptotic behavior of the micromagnetic free energy governing a ferromagnetic film is studied as its thickness gets smaller and smaller compared to its cross section. Here the static Maxwell equations are treated as a Murat's constant-rank PDE constraint on the energy functional. In contrast to previous work this approach allows to keep track of the induced magnetic field without solving the magnetostatic equations. In particular, the mathematical results of Gioia and James [Proc. R. Soc. Lond. A 453 (1997), pp. 213-223] regarding convergence of minimizers are recovered by giving a characterization of the corresponding Gamma-limit.

Author

Kreisbeck, Carolin

Published

2011

Language

EN