On the existence of weak solutions to a model problem for the unsteady turbulent pipe-flow

DOI10.1016/j.crma.2013.06.011zbMath1283.35092OpenAlexW2005229774MaRDI QIDQ367189

Joachim Naumann

Publication date: 26 September 2013

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S1631073X13001556

zbMATH Keywords

incompressible fluidweak solutionsturbulent flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Turbulent transport, mixing (76F25) Weak solutions to PDEs (35D30)

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Global in time solution to Kolmogorov's two-equation model of turbulence with small initial data

Cites Work

• Existence of weak solutions to a simplified steady system of turbulence modeling
• On the existence of weak solutions to a stationary one-equation RANS model with unbounded eddy viscosities
• Compact sets in the space \(L^ p(0,T;B)\)
• On a turbulent system with unbounded eddy viscosities
• On Prandtl's turbulence model: existence of weak solutions to the equations of stationary turbulent pipe-flow
• On the existence of weak solutions to the equations of non-stationary motion of heat-conducting incompressible viscous fluids
• The mathematical analysis of the coupling of a turbulent kinetic energy equation to the navier-stokes equation with an eddy viscosity
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