16 citations · 51 across the 19 of their papers we have counts for
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Zero Mach Number Limit of the Compressible Primitive Equations: Ill-prepared Initial Data
Xin Liu, Edriss S. Titi
In the work, we consider the zero Mach number limit of compressible primitive equations in the domain or . We ide…
Immediate blowup of entropy-bounded classical solutions to the vacuum free boundary problem of non-isentropic compressible Navier--Stokes equations
Xin Liu, Yuan Yuan
This paper considers the immediate blowup of entropy-bounded classical solutions to the vacuum free boundary problem of non-isentropic compressible Navier-Stokes equations. The vis…
On the resolvability of the dynamics of one fluid flow via a testing fluid in a two-fluids flow model
Xin Liu
In this work, by considering an isentropic fluid-fluid interaction model with a large symmetric drag force, a commonly used simplified two-fluids flow model is justified as the asy…
On the effect of fast rotation and vertical viscosity on the lifespan of the primitive equations
Quyuan Lin, Xin Liu, Edriss S. Titi
We study the effect of the fast rotation and vertical viscosity on the lifespan of solutions to the three-dimensional primitive equations (also known as the hydrostatic Navier-Stok…