217 citations · 1.8k across the 81 of their papers we have counts for
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math.AP2010★ 2 cited
Well-posedness of the Hele-Shaw-Cahn-Hilliard system
Xiaoming Wang, Zhifei Zhang
We study the well-posedness of the Hele-Shaw-Cahn-Hilliard system modeling binary fluid flow in porous media with arbitrary viscosity contrast but matched density between the compo…
math.AP2010★ 7 cited
Large time wellposdness to the 3-D Capillary-Gravity Waves in the long wave regime
Mei Ming, Ping Zhang, Zhifei Zhang
In the regime of weakly transverse long waves, given long-wave initial data, we prove that the nondimensionalized water wave system in an infinite strip under influence of gravity…
math.AP2010★ 15 cited
A Beale-Kato-Majda Blow-up criterion for the 3-D compressible Navier-Stokes equations
Yongzhong Sun, Chao Wang, Zhifei Zhang
We prove a blow-up criterion in terms of the upper bound of the density for the strong solution to the 3-D compressible Navier-Stokes equations. The initial vacuum is allowed. The…