Statistical study of Navier-Stokes equations, I
C. Foiaş (1972)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Some results on the Navier-Stokes equations in connection with the statistical theory of stationary turbulence”
Statistical study of Navier-Stokes equations, I
Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid
Eduard Feireisl (2002)
Mathematica Bohemica
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This is a survey of some recent results on the existence of globally defined weak solutions to the Navier-Stokes equations of a viscous compressible fluid with a general barotropic pressure-density relation.
Some recent results on the existence of global-in-time weak solutions to the Navier-Stokes equations of a general barotropic fluid
Feireisl, Eduard
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Vorticity dynamics and turbulence models for large-Eddy simulations
Georges-Henri Cottet, Delia Jiroveanu, Bertrand Michaux (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We consider in this paper the problem of finding appropriate models for Large Eddy Simulations of turbulent incompressible flows from a mathematical point of view. The Smagorinsky model is analyzed and the vorticity formulation of the Navier–Stokes equations is used to explore more efficient subgrid-scale models as minimal regularizations of these equations. Two classes of variants of the Smagorinsky model emerge from this approach: a model based on anisotropic turbulent viscosity and...
On weak solutions to the equations of non-stationary motion of heat-conducting incompressible viscous fluids: defect measure and energy equality
Joachim Naumann (2008)
Banach Center Publications
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We consider the non-stationary Navier-Stokes equations completed by the equation of conservation of internal energy. The viscosity of the fluid is assumed to depend on the temperature, and the dissipation term is the only heat source in the conservation of internal energy. For the system of PDE's under consideration, we prove the existence of a weak solution such that: 1) the weak form of the conservation of internal energy involves a defect measure, and 2) the equality for the total...
Low Mach number limit for viscous compressible flows
Raphaël Danchin (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this survey paper, we are concerned with the zero Mach number limit for compressible viscous flows. For the sake of (mathematical) simplicity, we restrict ourselves to the case of barotropic fluids and we assume that the flow evolves in the whole space or satisfies periodic boundary conditions. We focus on the case of ill-prepared data. Hence highly oscillating acoustic waves are likely to propagate through the fluid. We nevertheless state the convergence to the incompressible Navier-Stokes...