Navier-Stokes Equations and Turbulence

By M. E. Mayer. 2008

894 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/687b624bd093515b2d04c86b65c1477b6baa748b

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Citations in the corpus

Navier-Stokes Equations (2019, background): “11 we refer to the book of Foiaş [3].”
Stability results for 2D Navier–Stokes equations with unbounded delay (2018, background): “Owing to the fact that Navier-Stokes equations provide a suitable model to describe the motion of several important fluids, such as water, oil, air, etc, the long-time behavior of Navier-Stokes models (and its variants) has been regarded as an interesting and important problem in the theory of fluid”
Pullback attractors and statistical solutions for 2-D Navier-Stokes equations (2008, background): “The dynamical system has a pullback attractor A = {A(t)}t2IR whose sections A(t) are carriers of the measures µt. The latter are defined with the use of the notion of a Banach generalized limit (c.f., [ 10 ] and also Section 3.) . More precisely, we shall prove that for a given”
Euler Equations, Navier-Stokes Equations and Turbulence (2006, background): “Bounds on the spectrum for two dimensional turbulence have been addressed by Foias and collaborators ([33], [53], [ 54 ]).”
Systems of Navier-Stokes equations on Cantor sets (2013, unknown): “Introduction The Navier-Stokes equations [1–3] are commonly used in describing motion of fluids in models relevant to weather, ocean currents, water flow in pipes, and so forth.”
Mathematics of Two-Dimensional Turbulence (2012, methodology): “In this book, we assume that the force is random and refer the reader to [FMRT01] for a mathematical treatment of the Navier–Stokes equations with zero (or deterministic) force and random initial data.”
Invariant Measures for Dissipative Systems and Generalised Banach Limits (2011, methodology): “[ 9 ] to show the existence of an invariant measure such that (20) holds for all ϕ ∈ Cb(Xw), i.e.”