16 citations · 51 across the 19 of their papers we have counts for
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On the self-similar solution to full compressible Navier-Stokes equations without heat conductivity
Xin Liu, Yuan Yuan
In this work, we establish a class of globally defined, large solutions to the free boundary problem of compressible Navier-Stokes equations with constant shear viscosity and vanis…
Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities
Xin Liu, Edriss S. Titi
We show the existence of global weak solutions to the three-dimensional compressible primitive equations of atmospheric dynamics with degenerate viscosities. In analogy with the ca…
Local Well-posedness of Strong Solutions to the Three-dimensional Compressible Primitive Equations
Xin Liu, Edriss S. Titi
This work is devoted to establishing the local-in-time well-posedness of strong solutions to the three-dimensional compressible primitive equations of atmospheric dynamics. It is s…
Local existence and uniqueness of strong solutions to the free boundary problem of the full compressible Navier-Stokes equations in 3D
Xin Liu, Yuan Yuan
In this paper we establish the local-in-time existence and uniqueness of strong solutions to the free boundary problem of the full compressible Navier-Stokes equations in three-dim…