Abstract
In this paper, we provide a precise description of the compatibility conditions for the initial data so that one can show the existence and uniqueness of regular short-time solution to the Neumann initial-boundary problem of a class of Landau–Lifshitz–Gilbert system with spin-polarized transport, which is a strong nonlinear coupled parabolic system with non-local energy.
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Acknowledgements
The authors are supported partially by NSFC (No. 11731001). The author Y. D. Wang is supported partially by NSFC (No. 11971400) and Guangdong Basic and Applied Basic Research Foundation (No. 2020A1515011019).
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Chen, B., Wang, Y. Very Regular Solution to Landau–Lifshitz–Gilbert System with Spin-polarized Transport. Front. Math 18, 751–795 (2023). https://doi.org/10.1007/s11464-021-0209-1
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DOI: https://doi.org/10.1007/s11464-021-0209-1
Keywords
- Landau–Lifshitz system with spin-polarized transport
- very regular solution
- compatibility conditions of the initial data
- Galerkin approximation method
- auxiliary approximation equation