Seminar
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| Location: | SLMath: Online/Virtual |
To participate in this seminar, please register here: https://www.msri.org/seminars/25657
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
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Secondary Mathematics Subject Classification
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Global-in-Time Regularity of the Navier-Stokes Equations with Hyper-Dissipation
To participate in this seminar, please register here: https://www.msri.org/seminars/25657
Abstract: Further results are developed for showing the critical nature of the Navier-Stokes equation. It is proved that global-in-time smooth solutions exist for the Navier-Stokes equations with hyper-dissipation, i. e. the equations ∂tu+(−Δ)βu+u⋅∇u+∇p=0,div u=0,β>1
with the hypothesis that there is only one singular point at a possible blow-up time.
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