### Abstract

We identify the optimal scaling law for a nonconvex, nonlocal variational problem representing the magnetic energy of a uniaxial ferromagnet. Our analysis is restricted to a certain parameter regime, in which the surface tension is sufficiently small relative to the other parameters of the problem.

Original language | English (US) |
---|---|

Pages (from-to) | 259-289 |

Number of pages | 31 |

Journal | Communications on Pure and Applied Mathematics |

Volume | 51 |

Issue number | 3 |

State | Published - Mar 1998 |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Communications on Pure and Applied Mathematics*,

*51*(3), 259-289.

**Bounds on the micromagnetic energy of a uniaxial ferromagnet.** / Choksi, Rustum; Kohn, Robert.

Research output: Contribution to journal › Article

*Communications on Pure and Applied Mathematics*, vol. 51, no. 3, pp. 259-289.

}

TY - JOUR

T1 - Bounds on the micromagnetic energy of a uniaxial ferromagnet

AU - Choksi, Rustum

AU - Kohn, Robert

PY - 1998/3

Y1 - 1998/3

N2 - We identify the optimal scaling law for a nonconvex, nonlocal variational problem representing the magnetic energy of a uniaxial ferromagnet. Our analysis is restricted to a certain parameter regime, in which the surface tension is sufficiently small relative to the other parameters of the problem.

AB - We identify the optimal scaling law for a nonconvex, nonlocal variational problem representing the magnetic energy of a uniaxial ferromagnet. Our analysis is restricted to a certain parameter regime, in which the surface tension is sufficiently small relative to the other parameters of the problem.

UR - http://www.scopus.com/inward/record.url?scp=0039657059&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039657059&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0039657059

VL - 51

SP - 259

EP - 289

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

SN - 0010-3640

IS - 3

ER -