Thermodynamically consistent mesoscopic model of the ferro/paramagnetic transition

被引：2
|
作者：
Benesova, B. [1 ,2 ,4 ]
Kruzik, M. [3 ]
Roubicek, T. [1 ,2 ,4 ]
机构：
[1] ASCR, Inst Thermomech, Prague 18200 8, Czech Republic
[2] ASCR, Inst Informat Theory & Automat, Prague 18208 8, Czech Republic
[3] Czech Tech Univ, Fac Civil Engn, Prague 16629 6, Czech Republic
[4] Charles Univ Prague, Math Inst, Prague 18675 8, Czech Republic
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2013年 / 64卷 / 01期
关键词：
Micromagnetism; Relaxation; Young measures; Thermodynamics; PARABOLIC EQUATIONS; BULK FERROMAGNETS; MICROMAGNETICS; EVOLUTION; ENERGY;
D O I：
10.1007/s00033-012-0236-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A continuum evolutionary model for micromagnetics is presented that, beside the standard magnetic balance laws, includes thermomagnetic coupling. To allow conceptually efficient computer implementation, inspired by relaxation method of static minimization problems, our model is mesoscopic in the sense that possible fine spatial oscillations of the magnetization are modeled by means of Young measures. Existence of weak solutions is proved by backward Euler time discretization.
引用
收藏
页码：1 / 28
页数：28
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