The Landau‐Lifshitz model for shape optimization of MRAM memories
Authors:
- 4 December 2006
- journal article
- Published by Wiley in Proceedings in Applied Mathematics and Mechanics
- Vol. 6 (1) , 23-26
Abstract
We study a generalized Landau‐Lifshitz (LL) equation with space‐variable coefficients. We extend the results on existence and regularity of the smooth solutions for the case of the LL equation with constant coefficients. Further we study the sensitivity of the solution and provide continuous dependence on the coefficients. As a motivation we mention optimization of a magnetic core of MRAM and we perform real computations determining the optimal shape by maximizing the writing efficiency and minimizing the side‐effects.Keywords
This publication has 4 references indexed in Scilit:
- Error estimates for a semi-implicit numerical scheme solving the Landau–Lifshitz equation with an exchange fieldIMA Journal of Numerical Analysis, 2005
- Computational Micromagnetism2001
- The Landau-Lifshitz equation of the ferromagnetic spin chain and harmonic mapsCalculus of Variations and Partial Differential Equations, 1993
- Quasilinear parabolic systems under nonlinear boundary conditionsArchive for Rational Mechanics and Analysis, 1986