Stability of 2D incompressible flows in ${\bf R}^3$

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dc.creatorMucha, Piotr B.
dc.date2007-03-28
dc.date.accessioned2026-07-07T07:54:16Z
dc.date.available2026-07-07T07:54:16Z
dc.descriptionWe investigate the global in time stability of regular solutions with large velocity vectors to the evolutionary Navier-Stokes equation in ${\bf R}^3$. The class of stable flows contains all two dimensional weak solutions. The only assumption which is required is smallness of the $L_2$-norm of initial perturbation or its derivative with respect to the `$z$'-coordinate in the same norm. The magnitude of the rest of the norm of initial datum is not restricted.
dc.identifierhttps://arxiv.org/abs/math/0703844
dc.identifierhttp://arxiv.org/abs/math/0703844
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126536
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35Q30, 76D05
dc.titleStability of 2D incompressible flows in ${\bf R}^3$
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