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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 2021Show all

5 papers · 1 filter

math.AP2021★ 11 cited

Global well-posedness to the 2D Cauchy problem of nonhomogeneous heat conducting Navier-Stokes and magnetohydrodynamic equations with vacuum at infinity

Xin Zhong

We revisit the 2D Cauchy problem of nonhomogeneous heat conducting magnetohydrodynamic (MHD) equations in . For the initial density allowing vacuum at infinity, we de…

math.AP2021★ 2 cited

Global well-posedness and large time behavior for compressible non-isothermal nematic liquid crystal flows with vacuum at infinity

Yang Liu, Xin Zhong

We investigate the Cauchy problem of three-dimensional compressible non-isothermal nematic liquid crystal flows in . We derive the global existence and uniqueness of…

math.AP2021★ 3 cited

Global existence and decay estimates of strong solutions for compressible non-isentropic magnetohydrodynamic flows with vacuum

Yang Liu, Xin Zhong

We study the Cauchy problem of three-dimensional compressible non-isentropic magnetohydrodynamic (MHD) fluids with both interior and far field vacuum states. Applying delicate ener…

math.AP2021

Global well-posedness and exponential decay to the Cauchy problem of nonhomogeneous Navier-Stokes equations with density-dependent viscosity and vacuum in

Xin Zhong

We study global well-posedness of strong solutions for the nonhomogeneous Navier-Stokes equations with density-dependent viscosity and initial density allowing vanish in $\mathbb{R…

math.AP2021★ 13 cited

Global well-posedness and exponential decay of 2D nonhomogeneous Navier-Stokes and magnetohydrodynamic equations with density-dependent viscosity and vacuum

Xin Zhong

We establish global well-posedness of strong solutions for the nonhomogeneous magnetohydrodynamic equations with density-dependent viscosity and initial density allowing vanish in…