Global Weak Solutions to the Landau-Lifshitz System in 3D
-
Daoyuan Fang
dyf@zju.edu.cn
-
Tailong Li
m9845@163.com
Downloads
Abstract
By considering a general form of the Landau-Lifshitz equation under the influence of a homogeneous external magnetic fields, we prove that for a ferromagnetic body which occupies a bounded domain Ω in â„3 there exists a global weak solution either for the Dirichlet problem or for the Neumann problem. Although there is, in general, non-uniqueness result for the Landau-Lifshitz equation, the uniqueness result for the dynamic equation with constant initial data, which connects with the ground state of the magnetization in physical meanings, is pointed out.
Keywords
Similar Articles
- Fatima Si bachir, Saïd Abbas, Maamar Benbachir, Mouffak Benchohra, Gaston M. N‘Guérékata, Existence and attractivity results for \(\psi\)-Hilfer hybrid fractional differential equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Chia-chi Tung, Pier Domenico Lamberti, On Rellich‘s Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spaces , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- H. Özlem Güney, G. Murugusundaramoorthy, K. Vijaya, Subclasses of \(\lambda\)-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Homero G. Díaz-Marín, Osvaldo Osuna, Non-algebraic limit cycles in Holling type III zooplankton-phytoplankton models , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Rubén A. Hidalgo, The structure of extended function groups , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Abdelhai Elazzouzi, Khalil Ezzinbi, Mohammed Kriche, On the periodic solutions for some retarded partial differential equations by the use of semi-Fredholm operators , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- Fritz Gesztesy, Isaac Michael, Michael M. H. Pang, Optimality of constants in power-weighted Birman–Hardy–Rellich-Type inequalities with logarithmic refinements , CUBO, A Mathematical Journal: Vol. 24 No. 1 (2022)
- Jairo Bochi, Godofredo Iommi, Mario Ponce, Perfect matchings in inhomogeneous random bipartite graphs in random environment , CUBO, A Mathematical Journal: Vol. 24 No. 2 (2022)
- Svetlin Georgiev, Mohamed Majdoub, Two nonnegative solutions for two-dimensional nonlinear wave equations , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Mohamed Bouaouid, Ahmed Kajouni, Khalid Hilal, Said Melliani, A class of nonlocal impulsive differential equations with conformable fractional derivative , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
<< < 18 19 20 21 22 23 24 25 26 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2006-08-01
How to Cite
[1]
D. Fang and T. Li, “Global Weak Solutions to the Landau-Lifshitz System in 3D”, CUBO, vol. 8, no. 2, pp. 1–21, Aug. 2006.
Issue
Section
Articles
