On Recent Progress for the Stochastic Navier Stokes Equations

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dc.creatorMattingly, Jonathan C.
dc.date2004-09-11
dc.date.accessioned2026-07-07T05:12:03Z
dc.date.available2026-07-07T05:12:03Z
dc.descriptionWe give an overview of the ideas central to some recent developments in the ergodic theory of the stochastically forced Navier Stokes equations and other dissipative stochastic partial differential equations. Since our desire is to make the core ideas clear, we will mostly work with a specific example: the stochastically forced Navier Stokes equations. To further clarify ideas, we will also examine in detail a toy problem. A few general theorems are given. Spatial regularity, ergodicity, exponential mixing, coupling for a SPDE, and hypoellipticity are all discussed.
dc.descriptionCorrected version of Journees Equations aux derivees partielles paper(June 2003). Original at http://www.math.sciences.univ-nantes.fr/edpa/2003/
dc.identifierhttps://arxiv.org/abs/math/0409194
dc.identifierhttp://arxiv.org/abs/math/0409194
dc.identifierSee http://www.math.sciences.univ-nantes.fr/edpa/2003/
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72450
dc.subjectProbability
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectDynamical Systems
dc.subject37A25; 37A60; 37N10; 37L55; 76F55; 76F20; 60H15; 60H07; 35R60
dc.titleOn Recent Progress for the Stochastic Navier Stokes Equations
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