Global Classical Solutions of Viscous Liquid-gas Two-phase Flow Model

Details Global Classical Solutions of Viscous Liquid-gas Two-phase Flow Model Global Classical Solutions of Viscous Liquid-gas Two-phase Flow Model

2012-01-07

arxiv.org/abs/1201.1560v2

Mathematics

Analysis of PDEs

20 pages

Scientific paper

In this paper, we consider the global existence and uniqueness of the classical solutions for the 3D viscous liquid-gas two-phase flow model. Initial data is only small in the energy-norm. Our main ideas come from [15] where the existence of global classical solutions to the compressible Navier-Stokes equations was obtained by using the continuity methods under the assumption that the initial energy is sufficiently small.

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