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arxiv: 1901.08842 · v1 · pith:WH5VUYSZnew · submitted 2019-01-25 · 🧮 math.AP

On Type I Blowups of Suitable Weak Solutions to Navier-Stokes Equations near Boundary

classification 🧮 math.AP
keywords solutionsboundarysuitabletypeweakblowupsequationsexistence
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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 non-trivial mild bounded ancient solutions in half space leads to the existence of suitable weak solutions with Type I blowup on the boundary.

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