Energy equality for weak solutions of the compressible Navier–Stokes–Korteweg equations with general pressure law in a bounded domain

Energy equality for weak solutions of the compressible Navier–Stokes–Korteweg equations with general pressure law in a bounded domain

In this paper, we study the energy equality for weak solutions to the compressible Navier–Stokes–Korteweg equations with general pressure law in a bounded domain Ω⊂Rd (d=2,3). By exploring the special structure of the nonlinear terms, and using coarea formula, we formulate the sufficient conditions...

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Veröffentlicht in:Results in applied mathematics 2023-11, Vol.20, p.100397, Article 100397
Hauptverfasser: Zhou, Yanping, Wang, Xun
Format: Artikel
Sprache:eng
Schlagworte:
Bounded domain
Energy equality
Navier–Stokes–Korteweg equations
Regularity
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Zusammenfassung:In this paper, we study the energy equality for weak solutions to the compressible Navier–Stokes–Korteweg equations with general pressure law in a bounded domain Ω⊂Rd (d=2,3). By exploring the special structure of the nonlinear terms, and using coarea formula, we formulate the sufficient conditions for the regularity of weak solutions to ensure that energy equality holds.
ISSN:2590-0374
2590-0374
DOI:10.1016/j.rinam.2023.100397