Global well-posedness and decay estimates of strong solutions to a two-phase model with magnetic field

被引：32

作者：

Wen, Huanyao ^{[1
]}

Zhu, Limei ^{[1
]}

机构：

[1] South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2018年 / 264卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Two-phase model; Drift-flux model; Vlasov-Fokker-Planck/magnetohydrodynamics equations; Global well-posedness; Decay estimates; COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS; OPTIMAL CONVERGENCE-RATES; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; FLOW MODEL; ASYMPTOTIC ANALYSIS; CLASSICAL-SOLUTIONS; EXTERIOR DOMAIN; EXISTENCE; SYSTEM;

D O I：

10.1016/j.jde.2017.10.027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the Cauchy problem for a two-phase model with magnetic field in three dimensions. The global existence and uniqueness of strong solution as well as the time decay estimates in H-2 (R-3) are obtained by introducing a new linearized system with respect to (n(gamma) - (n)over tilde(gamma), n - (n)over tilde, P - (P)over tilde, u, H) for constants (n)over tilde >= 0 and P >0, and doing some new a priori estimates in Sobolev Spaces to get the uniform upper bound of (n - (n)over tilde, (n(gamma) - (n)over tilde(gamma)) in H-2 (R-3) norm. (c) 2017 Elsevier Inc. All rights reserved.

引用

页码：2377 / 2406

页数：30

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