Global existence of classical solution for a viscous liquid-gas two-phase model with mass-dependent viscosity and vacuum |
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Authors: | Zhen WANG Hui ZHANG |
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Institution: | Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China |
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Abstract: | In this work, we obtain the global existence and uniqueness of classical solutions 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. |
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Keywords: | viscous liquid-gas two-phase model global classical solution vacuum mass-dependent viscosity |
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