常用链接
Well-posedness for the Cahn-Hilliard-Navier-Stokes Equations with Random Initial Data
发布时间：2023-11-12
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论文类型：期刊论文
第一作者：Zhaoyang Qiu
通讯作者：Huaqiao Wang
合写作者：Yanbin Tang
发表刊物：POTENTIAL ANALYSIS
收录刊物：SCI
学科门类：理学
一级学科：数学
文献类型：J
卷号：59
页面范围：753–770
ISSN号：0926-2601
关键字：CH-NS equations, Random initial data, Global and local solution, Probability estimate
DOI码：10.1007/s11118-022-10000-5
发表时间：2023-07-01
影响因子：1.096
摘要：We consider the almost sure well-posedness of the Cauchy problem to the Cahn-Hilliard-Navier-Stokes equations with a randomization initial data on a torus T-3. First, we prove the local existence and uniqueness of solution in a proper functional space. Furthermore, we prove the global existence and uniqueness of solution and give the relative probability estimate under the assumption of small initial data.