Article
MSC:
35Q30,
35Q35,
76D03,
76D05 | MR 2025962 | Zbl 1099.35099 | DOI: 10.1023/B:APOM.0000024492.23444.29
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Keywords:
Navier-Stokes equations; suitable weak solution; generalized energy inequality
Navier-Stokes equations; suitable weak solution; generalized energy inequality
Summary:
We prove that there exists a suitable weak solution of the Navier-Stokes equation, which satisfies the generalized energy inequality for every nonnegative test function. This improves the famous result on existence of a suitable weak solution which satisfies this inequality for smooth nonnegative test functions with compact support in the space-time.
References:
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