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Global existence and optimal convergence rates for the strong solutions in H2 to the 3D viscous liquid–gas two-phase flow model

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成果类型:
期刊论文
作者:
Zhang, Yinghui;Zhu, Changjiang*
通讯作者:
Zhu, Changjiang
作者机构:
[Zhang, Yinghui] Hunan Inst Sci & Technol, Dept Math, Yueyang 414006, Peoples R China.
[Zhang, Yinghui] Cent China Normal Univ, Sch Math & Stat, Hubei Key Lab Math Phys, Wuhan 430079, Peoples R China.
[Zhu, Changjiang] S China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China.
通讯机构:
[Zhu, Changjiang] S
S China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China.
语种:
英文
关键词:
Convergence rate;Global existence;Liquid-gas two-phase flow;Strong solution
期刊:
Journal of Differential Equations
ISSN:
0022-0396
年:
2015
卷:
258
期:
7
页码:
2315-2338
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11301172, 11226170, 11331005]; China Postdoctoral Science Foundation funded projectChina Postdoctoral Science Foundation [2012M511640]; Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [13114095]; Scientific Research Fund of Hunan Provincial Education DepartmentHunan Provincial Education Department [14B077]; Program for Changjiang Scholars and Innovative Research Team in UniversityProgram for Changjiang Scholars & Innovative Research Team in University (PCSIRT) [IRT13066]; Special Fund Basic Scientific Research of Central Colleges [CCNU12C01001]
机构署名:
本校为其他机构
院系归属:
数学与统计学学院
摘要:
This paper is concerned with the Cauchy problem of the three-dimensional viscous liquid gas two-phase flow model. We prove the global existence of a strong solution when H-2-norm of the initial perturbation around a constant state is sufficiently small and its L-1-norm is bounded. Moreover, the optimal convergence rates are also obtained for such a solut...

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