Analytic Subvarietis in Cn with Given Isolated Singularities.
On the stability of compressible Navier-Stokes-Korteweg equations
We consider the compressible Navier-Stokes-Korteweg (N-S-K) equations. Through a remarkable identity, we reveal a relationship between the quantum hydrodynamic system and capillary fluids. Using some interesting inequalities from quantum fluids theory, we prove the stability of weak solutions for the N-S-K equations in the periodic domain , when N=2,3.
Uniform regularity for an isentropic compressible MHD- approximate model arising in radiation hydrodynamics
It is well known that people can derive the radiation MHD model from an MHD- approximate model. As pointed out by F. Xie and C. Klingenberg (2018), the uniform regularity estimates play an important role in the convergence from an MHD- approximate model to the radiation MHD model. The aim of this paper is to prove the uniform regularity of strong solutions to an isentropic compressible MHD- approximate model arising in radiation hydrodynamics. Here we use the bilinear commutator and product estimates...
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