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

Analysis of PDEs 2015-06-03 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1201.1560,
  title  = {Global Classical Solutions of Viscous Liquid-gas Two-phase Flow Model},
  author = {Haibo Cui and Huanyao Wen and Haiyan Yin},
  journal= {arXiv preprint arXiv:1201.1560},
  year   = {2015}
}

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20 pages