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The Landau‐Lifshitz model for shape optimization of MRAM memories
Author(s) -
Cimrák Ivan,
Melicher Valdemar
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610007
Subject(s) - magnetoresistive random access memory , space (punctuation) , computation , sensitivity (control systems) , variable (mathematics) , constant (computer programming) , landau–lifshitz–gilbert equation , mathematics , physics , computer science , mathematical analysis , algorithm , magnetic field , quantum mechanics , engineering , electronic engineering , random access memory , magnetization , computer hardware , programming language , operating system
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. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)