论文标题
强大的解决方案，用于由乘法高斯噪声驱动的随机惩罚的列液晶模型
Strong solution to stochastic penalised nematic liquid crystals model driven by multiplicative Gaussian noise
论文作者
论文摘要
在本文中，我们证明了由乘法高斯噪声驱动的2D和3D惩罚列液晶的随机系统的独特最大局部强解决方案。在第二案例中，我们表明该解决方案是全球性的。作为我们研究的副产品，但具有独立的兴趣，我们提出了一种基于固定点参数的一般方法，以确定具有抽象随机进化方程的最大局部解决方案的存在和独特性，并具有满足两个不同BANACH空间规范的本地Lipschitz条件的系数。
In this paper, we prove the existence of a unique maximal local strong solutions to a stochastic system for both 2D and 3D penalised nematic liquid crystals driven by multiplicative Gaussian noise. In the 2D case, we show that this solution is global.As a by-product of our investigation, but of independent interest, we present a general method based on fixed point arguments to establish the existence and uniqueness of a maximal local solution of an abstract stochastic evolution equations with coefficients satisfying local Lipschitz condition involving the norms of two different Banach spaces.
