On the stability of compressible Navier-Stokes-Korteweg equations
Tong Tang ; Hongjun Gao
Annales Polonici Mathematici, Tome 111 (2014), p. 149-163 / Harvested from The Polish Digital Mathematics Library
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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 Ω=N, when N=2,3.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:280636 
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Tong Tang; Hongjun Gao. On the stability of compressible Navier-Stokes-Korteweg equations. Annales Polonici Mathematici, Tome 111 (2014) pp. 149-163. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap111-2-4/