论文标题
随机Landau-lifschitz-slonczewski方程的解决方案的存在，独特性和规律性
Existence, uniqueness and regularity of solutions to the stochastic Landau-Lifschitz-Slonczewski equation
论文作者
论文摘要
在本文中，我们关注的是随机Landau-lifshitz-Slonczewski方程（LLS），该方程描述了在当前驱动的自旋扭矩下进化的无ifnite纳米线的磁化。电流带入系统中的乘法梯度噪声，该噪声是方程式中的传输项。我们证明了该方程的路径解决方案的存在，独特性和规律性。
In this paper we are concerned with the stochastic Landau-Lifshitz-Slonczewski equation (LLS) that describes magnetisation of an inifnite nanowire evolving under current driven spin torque. The current brings into the system a multiplicative gradient noise that appears as a transport term in the equation. We prove the existence, uniqueness and regularity of pathwise solutions to this equation.
