乘性高斯噪声驱动的随机惩罚向列相液晶模型强解
偏微分方程分析
2020-04-06 v2
摘要
本文证明了由乘性高斯噪声驱动的二维与三维惩罚向列相液晶随机系统唯一极大局部强解的存在性。在二维情形下，我们证明该解是全局的。作为研究的副产品但具有独立意义，我们提出了一种基于不动点论证的一般方法，用以建立系数满足涉及两个不同 Banach 空间范数的局部 Lipschitz 条件的抽象随机演化方程极大局部解的存在唯一性。
引用
@article{arxiv.2004.00590,
title = {Strong solution to stochastic penalised nematic liquid crystals model driven by multiplicative Gaussian noise},
author = {Zdzislaw Brzezniak and Erika Hausenblas and Paul Razafimandimby},
journal= {arXiv preprint arXiv:2004.00590},
year = {2020}
}
备注
arXiv:1310.8641 has been divided into two parts, this submission is its second part (The first part is published here: https://link.springer.com/article/10.1007/s40072-018-0131-z)