Asymptotic Behaviours for the Landau-Lifschitz-Bloch Equation
نویسندگان
چکیده
منابع مشابه
Cauchy problem and quasi-stationary limit for the Maxwell-Landau-Lifschitz and Maxwell-Bloch equations
In this paper we continue the investigation of the Maxwell-Landau-Lifschitz and Maxwell-Bloch equations. In particular we extend some previous results about the Cauchy problem and the quasi-stationary limit to the case where the magnetic permeability and the electric permittivity are variable.
متن کاملOn stability and asymptotic behaviours for a degenerate Landau-Lifshitz equation
In this paper, we study the problem concerning stability and asymptotic behaviours of solutions for a degenerate Landau-Lifshitz equation in micromagnetics involving only the nonlocal magnetostatic energy. Due to the lack of derivative estimates, we do not have the compactness needed for strong convergence and the natural convergence is weak* convergence. By formulating the problem in a new fra...
متن کاملStochastic form of the Landau-Lifshitz-Bloch equation
R. F. L. Evans,1 D. Hinzke,2 U. Atxitia,3 U. Nowak,2 R. W. Chantrell,1 and O. Chubykalo-Fesenko3 1Department of Physics, University of York, Heslington, York YO10 5DD, United Kingdom 2Universität Konstanz, Fachbereich Physik, Universitatssträße 10, D-78464 Konstanz, Germany 3Instituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco, E-28049 Madrid, Spain (Received 20 October 2011; publish...
متن کاملHydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation
We consider a kinetic model of self-propelled particles with alignment interaction and with precession about the alignment direction. We derive a hydrodynamic system for the local density and velocity orientation of the particles. The system consists of the conservative equation for the local density and a non-conservative equation for the orientation. First, we assume that the alignment intera...
متن کاملBounds on Coarsening Rates for the Lifschitz-slyozov-wagner Equation
This paper is concerned with the large time behavior of solutions to the Lifschitz-Slyozov-Wagner (LSW) system of equations. Point-wise in time upper and lower bounds on the rate of coarsening are obtained for solutions with fairly general initial data. These bounds complement the time averaged upper bounds obtained by Dai and Pego, and the point-wise in time upper and lower bounds obtained by ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in the Theory of Nonlinear Analysis and its Application
سال: 2019
ISSN: 2587-2648
DOI: 10.31197/atnaa.512065