Zobrazeno 1 - 10
of 30 223
pro vyhledávání: '"Landau-Lifshitz"'
This paper establishes the global well-posedness of the Landau-Lifshitz-Baryakhtar (LLBar) equation in the whole space $\mathbb{R}^3$. The study first demonstrates the existence and uniqueness of global strong solutions using the weak compactness app
Externí odkaz:
http://arxiv.org/abs/2412.15708
Autor:
Li, Panchi, Wang, Xiao-Ping
The dynamics of magnetization in ferromagnetic materials are modeled by the Landau-Lifshitz equation, which presents significant challenges due to its inherent nonlinearity and non-convex constraint. These complexities necessitate efficient numerical
Externí odkaz:
http://arxiv.org/abs/2412.10025
This paper deals with the existence and limiting behavior of invariant measures of the stochastic Landau-Lifshitz-Bloch equation driven by linear multiplicative noise and additive noise defined in the entire space $\mathbb{R}^d$ for $d=1,2$, which de
Externí odkaz:
http://arxiv.org/abs/2410.02436
This paper considers the stochastic Landau-Lifshitz-Baryakhtar (SLLBar) equation with pure jump noise in Marcus canonical form, which describes the dynamics of magnetic spin field in a ferromagnet at elevated temperatures with the effective field $\m
Externí odkaz:
http://arxiv.org/abs/2408.05684
Autor:
Soenjaya, Agus L.
The Landau--Lifshitz--Baryakhtar (LLBar) and the Landau--Lifshitz--Bloch (LLBloch) equations are nonlinear vector-valued PDEs which arise in the theory of micromagnetics to describe the dynamics of magnetic spin field in a ferromagnet at elevated tem
Externí odkaz:
http://arxiv.org/abs/2407.01125
Autor:
Eyink, Gregory L., Peng, Lowen
We study rigorously the infinite Reynolds limit of the solutions of the Landau-Lifschitz equations of fluctuating hydrodynamics for an incompressible fluid on a $d$-dimensional torus for $d\geq 2.$ These equations, which model the effects of thermal
Externí odkaz:
http://arxiv.org/abs/2409.13103
Autor:
Vinod, Noah, Tran, Thanh
Spin currents act on ferromagnets by exerting a torque on the magnetisation. This torque is modelled by appending additional terms to the Landau-Lifshitz-Gilbert equation motivating the study of the non-homogeneous Landau-Lifshitz-Gilbert equation. W
Externí odkaz:
http://arxiv.org/abs/2407.10429
We obtain rigorous large time asymptotics for the Landau-Lifshitz equation in the soliton free case by extending the nonlinear steepest descent method to genus 1 surfaces. The methods presented in this paper pave the way to a rigorous analysis of oth
Externí odkaz:
http://arxiv.org/abs/2405.17662
Autor:
Zhang, Jie1 (AUTHOR) zhangjielk156@163.com, Yang, Ganshan2 (AUTHOR)
Publikováno v:
Applied Mathematics & Optimization. Feb2023, Vol. 87 Issue 1, p1-33. 33p.
