Global solutions for the system of a viscous two-fluid model

被引：0

作者：

Liu, Yan ^{[1
]}

Wang, Wenjun ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2025年 / 166卷

基金：

中国国家自然科学基金;

关键词：

Two-fluid model; Global existence; Decay rates; Energy estimates; WEAK SOLUTIONS; ASYMPTOTIC ANALYSIS; STOKES SYSTEM; EXISTENCE;

D O I：

10.1016/j.aml.2025.109530

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a viscous compressible two-fluid model with a pressure law that depends on two variables. We establish the existence theory for the global solution of this system within the HN(R3)-framework (N >= 2), assuming that the H2(R3)-norm of the initial perturbation is small. The energy method combined with the low-frequency and high-frequency decomposition is used to derive the decay of the solution and hence the global existence. As a byproduct, we obtain the L2-L2 convergence rates for the solution.

引用

页数：5

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