On the stability of compressible Navier-Stokes-Korteweg equations

Tong Tang; Hongjun Gao

Annales Polonici Mathematici (2014)

  • Volume: 111, Issue: 2, page 149-163
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Tong Tang, and Hongjun Gao. "On the stability of compressible Navier-Stokes-Korteweg equations." Annales Polonici Mathematici 111.2 (2014): 149-163. <http://eudml.org/doc/280636>.

@article{TongTang2014,
abstract = {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.},
author = {Tong Tang, Hongjun Gao},
journal = {Annales Polonici Mathematici},
keywords = {compressible Navier-Stokes-Korteweg equations; stability},
language = {eng},
number = {2},
pages = {149-163},
title = {On the stability of compressible Navier-Stokes-Korteweg equations},
url = {http://eudml.org/doc/280636},
volume = {111},
year = {2014},
}

TY - JOUR
AU - Tong Tang
AU - Hongjun Gao
TI - On the stability of compressible Navier-Stokes-Korteweg equations
JO - Annales Polonici Mathematici
PY - 2014
VL - 111
IS - 2
SP - 149
EP - 163
AB - 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.
LA - eng
KW - compressible Navier-Stokes-Korteweg equations; stability
UR - http://eudml.org/doc/280636
ER -

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