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

Abstract

Abstract:

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.

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

CLC Number:

35B40

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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