Stochastic magneto-hydrodynamic system perturbed by general noise
Stochastic magneto-hydrodynamic system perturbed by general noise
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DOI：
10.31390/cosa.4.2.08
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发表时间：
2010-06
期刊：
影响因子：
--
通讯作者：
P. Sundar
中科院分区：
文献类型：
--
作者：
P. Sundar
研究了在乘性噪声和加性分数布朗噪声作用下二维随机磁流体动力学系统解的存在唯一性。当噪声为乘性时，采用单调性方法。在分数布朗噪声的情况下，在适当的条件下，建立了系统的唯一温和解。
The existence and uniqueness of solutions to the two-dimensional stochastic magneto-hydrodynamic system is established in the presence of either a multiplicative noise or an additive fractional Brownian noise. The method of monotonicity is employed when the noise is multiplicative. In the case of a fractional Brownian noise, a unique mild solution of the system is established under suitable conditions.