Phase-field descriptions of two-phase compressible fluid flow: interstitial working and a reduction to Korteweg theory. (English) Zbl 1421.35275
The Navier-Stokes-Allen-Cahn (NSAC), the Navier-Stokes-Cahn-Hilliard (NSCH), and the Navier-Stokes-Korteweg (NSK) equations have been used in the literature to model the dynamics of two-phase fluids. In their previous article [Arch. Ration. Mech. Anal. 224, No. 1, 1–20 (2017; Zbl 1366.35130)], the authors showed that both NSAC and NSCH reduce to versions of NSK, when one makes the (unphysical) assumption that microforces are absent. The present paper shows that the same reduction property holds without that assumption.
Reviewer: Theodore Drivas (Princeton)
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 76T99 | Multiphase and multicomponent flows |
Citations:
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