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

Carlos J.   García-Cervera; Xiao-Ping Wang

doi:10.3934/dcdsb.2015.20.2761

Article Contents

2015, Volume 20, Issue 8: 2761-2763. Doi: 10.3934/dcdsb.2015.20.2761

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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
2.
Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong

Received: September 30, 2014

Revised: January 31, 2015

Published: September 2015

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Abstract

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:

Mathematics Subject Classification: Primary: 35R05, 58J35; Secondary: 35Q60.

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