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Marche F. (2007) Derivation of A New Two-Dimensional Viscous Shallow Water Model with Varying Topography, Bottom Friction and Capillary Effects. European Journal of Mechanics-B/Fluids, 26, 49-63.
https://doi.org/10.1016/j.euromechflu.2006.04.007

has been cited by the following article:

• TITLE: Global Well-Posedness and Large-Time Behavior to the 3D Two-Fluid Model with Degenerate Viscosities

  AUTHORS: Hongxia Ji, Wenjing Song

  KEYWORDS: Two-Fluid Model, Degenerate Viscosities, Large-Time Behavior, Global Well-Posedness

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.1, January 22, 2025

  ABSTRACT: In the paper, we study a compressible two-fluid model in ℝ 3 , where γ ± >1 . The pressure of the two fluids is equal. Different from previous research, we consider that viscosity coefficient both μ and λ are functions of density. The global well-posedness of the three-dimensional compressible two-phase flow model is an open problem due to its dissipative, nonlinear structure. In the paper, setting m ± = M ± and Z=P− P ¯ , by exploiting the dissipation structure, we obtain energy estimates for ( Z,w,n ) and its derivatives, then we obtain the time decay rates for ( Z,w,n ) . So we derive global well-posedness and large time behavior to the three dimensional compressible two-fluid model.