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

Autor: Yanping Zhou, Xun Wang
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Results in Applied Mathematics, Vol 20, Iss , Pp 100397- (2023)
Druh dokumentu: article
ISSN: 2590-0374
DOI: 10.1016/j.rinam.2023.100397
Popis: 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.
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