Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling
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DOI: 10.1007/s10915-016-0304-8
Abstract: In this work we prove that weak solutions constructed by a variational multiscale method are suitable in the sense of Scheffer. In order to prove this result, we consider a subgrid model that enforces orthogonality… read more here.
Keywords: solutions finite; finite element; convergence suitable; weak solutions ... See more keywords
On Type I Blowups of Suitable Weak Solutions to the Navier–Stokes Equations Near Boundary
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DOI: 10.1007/s10958-021-05673-z
Abstract: In this note, boundary Type I blowups of suitable weak solutions to the Navier–Stokes equations are discussed. In particular, it has been shown that, under certain assumptions, the existence of nontrivial mild bounded ancient solutions… read more here.
Keywords: solutions navier; navier stokes; type blowups; weak solutions ... See more keywords