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20122023
most citedMultiphase curved boundary condition in lattice Boltzmann method

23 citations · 148 across the 26 of their papers we have counts for

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Showing 2022 · math.APShow all

5 papers · 2 filters

math.AP2022★ 3 cited

Entropy-bounded solutions to the 3D compressible heat-conducting magnetohydrodynamic equations with vacuum at infinity

Yang Liu, Xin Zhong

The mathematical analysis on the behavior of the entropy for viscous, compressible, and heat conducting magnetohydrodynamic flows near the vacuum region is a challenging problem as…

math.AP2022

Global existence of strong solutions with large oscillations and vacuum to the compressible nematic liquid crystal flows in 3D bounded domains

Yang Liu, Xin Zhong

We investigate compressible nematic liquid crystal flows in three-dimensional (3D) bounded domains with slip boundary condition for velocity and Neumann boundary condition for orie…

math.AP2022

Global well-posedness for three-dimensional compressible viscous micropolar and heat-conducting fluids with vacuum at infinity and large oscillations

Yang Liu, Xin Zhong

We investigate global well-posedness to the Cauchy problem of three-dimensional compressible viscous and heat-conducting micropolar fluid equations with zero density at infinity. B…

math.AP2022★ 4 cited

Local well-posedness to the 2D Cauchy problem of full compressible magnetohydrodynamic equations with vacuum at infinity

Hong Chen, Xin Zhong

This paper concerns the Cauchy problem of two-dimensional (2D) full compressible magnetohydrodynamic (MHD) equations in the whole plane with zero density at infinity…

math.AP2022

Global strong solution for 3D compressible heat-conducting magnetohydrodynamic equations revisited

Yang Liu, Xin Zhong

We revisit the 3D Cauchy problem of compressible heat-conducting magnetohydrodynamic equations with vacuum as far field density. By delicate energy method, we derive global existen…