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October  2015, 20(8): 2761-2763. doi: 10.3934/dcdsb.2015.20.2761

A note on 'Spin-polarized transport: Existence of weak solutions'

Carlos J. García-Cervera 1, and  Xiao-Ping Wang 2,

1. 

Mathematics Department, University of California, Santa Barbara, CA 93105, United States
2. 

Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong

Received  October 2014 Revised  February 2015 Published  August 2015

The authors presented a proof of existence of weak solutions to a model for spin-polarized transport in ferromagnetic multilayers in [1]. The proof of the previous result is valid only in the case when the external current in parallel to the boundary of the domain. We present here an extension of that result, which applies to more general currents.
Keywords: ferromagnetism, Landau-Lifshitz equation, spin transport., Micromagnetics, spintronics.
Mathematics Subject Classification: Primary: 35R05, 58J35; Secondary: 35Q6.
Citation: Carlos J. García-Cervera, Xiao-Ping Wang. A note on 'Spin-polarized transport: Existence of weak solutions'. Discrete & Continuous Dynamical Systems - B, 2015, 20 (8) : 2761-2763. doi: 10.3934/dcdsb.2015.20.2761
References:
[1]

C. J. García-Cervera and X. P. Wang, Spin-Polarized transport: Existence of weak solutions,, Disc. Cont. Dyn. Sys., 7 (2007), 87.  doi: 10.3934/dcdsb.2007.7.87.  Google Scholar

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References:
[1]

C. J. García-Cervera and X. P. Wang, Spin-Polarized transport: Existence of weak solutions,, Disc. Cont. Dyn. Sys., 7 (2007), 87.  doi: 10.3934/dcdsb.2007.7.87.  Google Scholar

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