Indexed by: Journal paper

First Author: Zhaoyang Qiu

Correspondence Author: Huaqiao Wang

Co-author: Yanbin Tang

Journal: POTENTIAL ANALYSIS

Included Journals: SCI

Discipline: Science

First-Level Discipline: Mathematics

Document Type: J

Volume: 59

Page Number: 753–770

ISSN No.: 0926-2601

Key Words: CH-NS equations, Random initial data, Global and local solution, Probability estimate

DOI number: 10.1007/s11118-022-10000-5

Date of Publication: 2023-07-01

Impact Factor: 1.096

Abstract: 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.