GLOBAL EXISTENCE OF CLASSICAL SOLUTION FOR A VISCOUS LIQUID-GAS TWO-PHASE MODEL WITH MASS-DEPENDENT VISCOSITY AND VACUUM

doi:10.1016/S0252-9602(13)60124-1

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (1): 39-52.doi: 10.1016/S0252-9602(13)60124-1

GLOBAL EXISTENCE OF CLASSICAL SOLUTION FOR A VISCOUS LIQUID-GAS TWO-PHASE MODEL WITH MASS-DEPENDENT VISCOSITY AND VACUUM

Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China

收稿日期:2012-12-10 出版日期:2014-01-20 发布日期:2014-01-20
基金资助:
Supported by the National Natural Science Foundation of China (11171340).

GLOBAL EXISTENCE OF CLASSICAL SOLUTION FOR A VISCOUS LIQUID-GAS TWO-PHASE MODEL WITH MASS-DEPENDENT VISCOSITY AND VACUUM

Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China

Received:2012-12-10 Online:2014-01-20 Published:2014-01-20
Supported by:
Supported by the National Natural Science Foundation of China (11171340).

摘要/Abstract

摘要：

In this work, we obtain the global existence and uniqueness of classical solu-tions to a viscous liquid-gas two-phase model with mass-dependent viscosity and vacuum in one dimension, where the initial vacuum is allowed. We get the upper and lower bounds of gas and liquid masses n and m by the continuity methods which we use to study the
compressible Navier-Stokes equations.

关键词: viscous liquid-gas two-phase model, global classical solution, vacuum, mass-dependent viscosity

Abstract:

Key words: viscous liquid-gas two-phase model, global classical solution, vacuum, mass-dependent viscosity

中图分类号:

35B40

王振, 张卉. GLOBAL EXISTENCE OF CLASSICAL SOLUTION FOR A VISCOUS LIQUID-GAS TWO-PHASE MODEL WITH MASS-DEPENDENT VISCOSITY AND VACUUM[J]. 数学物理学报(英文版), 2014, 34(1): 39-52.

WANG Zhen, ZHANG Hui. GLOBAL EXISTENCE OF CLASSICAL SOLUTION FOR A VISCOUS LIQUID-GAS TWO-PHASE MODEL WITH MASS-DEPENDENT VISCOSITY AND VACUUM[J]. Acta mathematica scientia,Series B, 2014, 34(1): 39-52.

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GLOBAL EXISTENCE OF CLASSICAL SOLUTION FOR A VISCOUS LIQUID-GAS TWO-PHASE MODEL WITH MASS-DEPENDENT VISCOSITY AND VACUUM

GLOBAL EXISTENCE OF CLASSICAL SOLUTION FOR A VISCOUS LIQUID-GAS TWO-PHASE MODEL WITH MASS-DEPENDENT VISCOSITY AND VACUUM

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