Self-similar universal homogeneous statistical solutions of the Navier- Stokes equations

DOI10.1007/BF01205502zbMath0532.60058MaRDI QIDQ789099

Roger M. Temam, Ciprian Foias

Publication date: 1983

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsstationary statistical solutionstheory of homogeneous turbulence

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Stochastic analysis (60H99)

Related Items (5)

A stochastic particle method with random weights for the computation of statistical solutions of McKean-Vlasov equations ⋮ Attractors and determining modes in fluid mechanics ⋮ On the statistical solutions of Vlasov-Poisson equations in two dimensions ⋮ Global flows with invariant (Gibbs) measures for Euler and Navier-Stokes two dimensional fluids ⋮ Exact solutions of the Navier-Stokes equations via Leray's scheme

Cites Work

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• Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
• Partial regularity of solutions to the Navier-Stokes equations
• Hausdorff measure and the Navier-Stokes equations
• The Navier-Stokes equations in space dimension four
• Translationally homogeneous statistical solutions and individual solutions with infinite energy of a system of Navier-Stokes equations
• Equations stochastiques du type Navier-Stokes
• Differentiable dynamical systems and the problem of turbulence

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