On the stability of compressible Navier-Stokes-Korteweg equations

• Autorzy: Tong Tang , Hongjun Gao
• Języki publikacji: EN

Abstrakty

EN

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 $Ω =𝕋^{N}$, when N=2,3.

Kategorie tematyczne

• 35Q35: PDEs in connection with fluid mechanics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 111
• Numer: 2
• Strony: 149-163

Daty

wydano

2014

Twórcy

autor

Tong Tang

• School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China

autor

Hongjun Gao

• Jiangsu Key Laboratory for NSLSCS
• School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China

Identyfikatory

DOI

10.4064/ap111-2-4