Renormalization for the Laplacian and global well-possness of the Landau–Lifshitz–Gilbert equation in dimensions n ≥ 3 $n \geq3$

Renormalization for the Laplacian and global well-possness of the Landau–Lifshitz–Gilbert equation in dimensions n ≥ 3 $n \geq3$

Abstract The global solution of the n ≥ 3 $n \geq3$ Landau–Lifshitz–Gilbert equation on S 2 $\mathbb{S}^{2}$ is studied under the cylindrical symmetric coordinates. An equivalent complex-valued equation in cylindrical symmetric coordinates is obtained by the Hasimoto transformation. A renormalizatio...

Full description

Bibliographic Details
Main Authors: Penghong Zhong, Fengong Wu, Shengxiang Tang
Format: Article
Language:English
Published: SpringerOpen 2020-05-01
Series:Boundary Value Problems
Subjects:
Landau–Lifshitz equation
Well-posedness
Hasimoto transformation
Online Access:http://link.springer.com/article/10.1186/s13661-020-01377-6

Internet

http://link.springer.com/article/10.1186/s13661-020-01377-6

Similar Items