Space-time decay rate for strong solutions to the viscous liquid-gas two-phase flow with magnetic field

被引：0

作者：

Chen, Yuang ^{[1
]}

Luo, Zhengyan ^{[1
]}

Zhang, Yinghui ^{[1
]}

机构：

[1] Guangxi Normal Univ, Sch Math & Stat, Guilin 541004, Guangxi, Peoples R China

来源：

ANNALES POLONICI MATHEMATICI | 2024年 / 132卷 / 02期

关键词：

two-phase flow; weighted Sobolev space; interpolation tricks; space-time decay rates; interactive weighted energy functional; ASYMPTOTIC ANALYSIS; GLOBAL EXISTENCE; STOKES; MODEL; BEHAVIOR; SYSTEM;

D O I：

10.4064/ap230625-14-12

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the viscous liquid -gas two-phase model with magnetic field in a weighted Sobolev space Ha2(R3). Based on precise weighted energy estimation, we establish the space-time decay rates of the k(is an element of [0, 2])th order spatial derivative of strong solutions. The main difficulty comes from the lack of dissipative structure of parallel to backward difference P parallel to 2L2 a we need to construct an interactive weighted energy functional to solve it. , and

引用

页码：109 / 135

页数：28

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