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Energy equality for the compressible Navier-Stokes-Korteweg equations
AIMS Mathematics 2022, 7(4): 5808-5820
Published: 15 April 2022
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In this paper, we investigate the problem of energy equality of the two and three dimensional compressible Navier-Stokes-Korteweg equations with general pressure law. By using the commutator estimation to deal with the nonlinear terms, we obtain the sufficient conditions for the regularity of weak solutions to conserve the energy.

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