Geodesic
On the stability of compressible Navier–Stokes–Korteweg equations
Tong Tang1 ; Hongjun Gao2
1School of Mathematical Sciences Nanjing Normal University Nanjing 210023, China
2Jiangsu 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
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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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     title = {On the stability of compressible
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     journal = {Annales Polonici Mathematici},
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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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