Xin Liu

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20162026

most citedZero Mach Number Limit of the Compressible Primitive Equations Part I: Well-prepared Initial Data

16 citations · 51 across the 19 of their papers we have counts for

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Showing 2022 · math.APShow all

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math.AP2022

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 $R^{2} \times 2 T$ or $T^{2} \times 2 T$ . We ide…

math.AP2022

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…

math.AP2022★ 9 cited

On the effect of fast rotation and vertical viscosity on the lifespan of the $3 D$ 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…

Zero Mach Number Limit of the Compressible Primitive Equations: Ill-prepared Initial Data

Immediate blowup of entropy-bounded classical solutions to the vacuum free boundary problem of non-isentropic compressible Navier--Stokes equations

On the effect of fast rotation and vertical viscosity on the lifespan of the 3D primitive equations

On the effect of fast rotation and vertical viscosity on the lifespan of the $3 D$ primitive equations