Partial regular solution to the coupled spin polarized system in three dimensions

Rong Rong

doi:10.3934/dcdsb.2023013

Article Contents

2023, Volume 28, Issue 8: 4293-4310. Doi: 10.3934/dcdsb.2023013

This issue Previous Article Strong convergence rate for slow-fast stochastic differential equations with Markovian switching Next Article Some recurrent motions of Navier-Stokes equations with Coriolis force

Partial regular solution to the coupled spin polarized system in three dimensions

Rong Rong^1, ,

1.
The first unit is School of Mathematics and Statistics, Xiamen University of Technology, Xiamen 361024, China

^* Corresponding author: Rong Rong
^* Corresponding author: Rong Rong

Received: April 2021

Revised: August 2022

Early access: January 16, 2023

Published online: January 16, 2023

The first author is supported by Xiamen Institute of Technology high-level talents research launch project (YKJ22050R); Fujian Province Young and middle-aged Teacher Education Research Project(JAT220337).

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Abstract

We consider the partial regular solution to the coupled spin polarized transport equations in 3D. This coupled system includes the Landau-Lifshitz equation and a quasi-linear parabolic equation describing the diffusion of spin accumulation. Our proof is strictly based on Ginzburg-Landau approximation theory and Moser iterative computation.

Keywords:

Partial regular solution,
coupled spin polarized transport system,
Landau-Lifshitz equation.

Mathematics Subject Classification: 35Q35.

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References

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