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Currently displaying 1 – 3 of 3

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Two component regularity for the Navier-Stokes equations.

Fan, Jishan; Gao, Hongjun — 2009

Electronic Journal of Differential Equations (EJDE) [electronic only]

Global solutions for a nonlinear wave equation with the $p$ -Laplacian operator.

Gao, Hongjun; Ma, To Fu — 1999

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

On the stability of compressible Navier-Stokes-Korteweg equations

Tong Tang; Hongjun Gao — 2014

Annales Polonici Mathematici

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 $Ω =^{N}$ , when N=2,3.

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