Existence and ergodicity for the two-dimensional stochastic magneto-hydrodynamics equations

被引：55
|
作者：
Barbu, Viorel [1 ]
Da Prato, Giuseppe
机构：
[1] Alexandru Ioan Cuza Univ, Iasi 700506, Romania
[2] Scuola Normale Super Pisa, I-56126 Pisa, Italy
来源：
APPLIED MATHEMATICS AND OPTIMIZATION | 2007年 / 56卷 / 02期
关键词：
MHD equation; invariant measure; coupling; ergodicity;
D O I：
10.1007/s00245-007-0882-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper proves the existence of solutions to the magneto-hydrodynamics equations driven by random exterior forcing terms both in the velocity and in the magnetic field. The existence and uniqueness of an invariant measure is also obtained via coupling methods.
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页码：145 / 168
页数：24
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