Geodesic
On the stability of compressible Navier–Stokes–Korteweg equations
Tong Tang1 ; Hongjun Gao2
1 School of Mathematical Sciences Nanjing Normal University Nanjing 210023, China
2 Jiangsu Key Laboratory for NSLSCS and School of Mathematical Sciences Nanjing Normal University Nanjing 210023, China
Annales Polonici Mathematici, Tome 111 (2014) no. 2, pp. 149-163

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $\varOmega =\mathbb {T}^{N}$, when $N=2,3$.
DOI : 10.4064/ap111-2-4
Keywords: consider compressible navier stokes korteweg n s k equations through remarkable identity reveal relationship between quantum hydrodynamic system capillary fluids using interesting inequalities quantum fluids theory prove stability weak solutions n s k equations periodic domain varomega mathbb

Tong Tang 1 ; Hongjun Gao 2

1 School of Mathematical Sciences Nanjing Normal University Nanjing 210023, China
2 Jiangsu Key Laboratory for NSLSCS and School of Mathematical Sciences Nanjing Normal University Nanjing 210023, China 
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Tong Tang; Hongjun Gao. On the stability of compressible
 Navier–Stokes–Korteweg equations. Annales Polonici Mathematici, Tome 111 (2014) no. 2, pp. 149-163. doi: 10.4064/ap111-2-4

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