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Article Dans Une Revue Communications in Partial Differential Equations Année : 2019

SOME REMARKS ABOUT THE POSSIBLE BLOW-UP FOR THE NAVIER-STOKES EQUATIONS

Résumé

In this work we investigate the problem of preventing the incompressible 3D Navier-Stokes from developing singularities with the control of one component of the velocity field only in L ∞ norm in times with values in a scaling invariant space. We introduce a space " almost " invariant under the action of the scaling such that if one component measured in this space remains small enough, then there is no blow up.
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Dates et versions

hal-01849318 , version 1 (02-08-2018)

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  • HAL Id : hal-01849318 , version 1

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Jean-Yves Chemin, Isabelle Gallagher, Ping Zhang. SOME REMARKS ABOUT THE POSSIBLE BLOW-UP FOR THE NAVIER-STOKES EQUATIONS. Communications in Partial Differential Equations, 2019. ⟨hal-01849318⟩
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