Acta mathematica scientia, Series B >
GLOBAL EXISTENCE OF CLASSICAL SOLUTION FOR A VISCOUS LIQUID-GAS TWO-PHASE MODEL WITH MASS-DEPENDENT VISCOSITY AND VACUUM
Received date: 2012-12-10
Online published: 2014-01-20
Supported by
Supported by the National Natural Science Foundation of China (11171340).
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.
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 . DOI: 10.1016/S0252-9602(13)60124-1
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