A Blow-Up Criterion for the Nonhomogeneous Incompressible Navier--Stokes Equations
A Blow-Up Criterion for the Nonhomogeneous Incompressible Navier--Stokes Equations
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Philadelphia, PA: Society for Industrial and Applied Mathematics
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English
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Philadelphia, PA: Society for Industrial and Applied Mathematics
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Let $(\rho , u)$ be a strong or smooth solution of the nonhomogeneous incompressible Navier--Stokes equations in $(0, T^*) \times \Omega$, where $T^*$ is a finite positive time and $\Omega$ is a bounded domain in $\mathbf{R}^3$ with smooth boundary or the whole space $\mathbf{R}^3$. We show that if $(\rho , u)$ blows up at $T^* $, then $ \int_0^{T^...
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Full title
A Blow-Up Criterion for the Nonhomogeneous Incompressible Navier--Stokes Equations
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TN_cdi_proquest_journals_923938127
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_923938127
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ISSN
0036-1410
E-ISSN
1095-7154
DOI
10.1137/S0036141004442197
