On a Non-conservative Compressible Two-Fluid Model in a Bounded Domain: Global Existence and Uniqueness

Authors：Wang, Yinghui^*; Wen, Huanyao; Yao, Lei

Source：Journal of Mathematical Fluid Mechanics, 2021, 23(1): 4.

DOI：10.1007/s00021-020-00531-5

• Compressible two-fluid model
• Compressible Navier-Stokes equations
• Global existence and uniqueness
• Asymptotic behavior
• Dirichlet problem
• 76T10
• 76N10
• 35B40

In this work, we consider the Dirichlet problem for a non-conservative compressible two-fluid model in three dimensions. In particular, capillary pressure is taken into account in the sense that P+-P-=f not equal 0 where f is assumed to be a strictly decreasing function near the equilibrium. This work aims to prove that this assumption has an essential stabilization effect on the model in bounded domains.

• Institution
  西北大学