On Prandtl's turbulence model: existence of weak solutions to the equations of stationary turbulent pipe-flow

DOI10.3934/dcdss.2013.6.1371zbMath1263.35182OpenAlexW2321481938MaRDI QIDQ1942846

Joachim Naumann, Joerg Wolf

Publication date: 14 March 2013

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2013.6.1371

zbMATH Keywords

eddy viscositymean turbulent kinetic energyPrandtl's turbulence modelstationary uni-directional turbulent pipe-flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Degenerate elliptic equations (35J70) Turbulent transport, mixing (76F25) Fundamentals of turbulence (76F02)

Related Items (5)

On the existence of weak solutions to a model problem for the unsteady turbulent pipe-flow ⋮ On two coupled degenerate parabolic equations motivated by thermodynamics ⋮ Existence for a one-equation turbulent model with strong nonlinearities ⋮ A stationary one-equation turbulent model with applications in porous media ⋮ Partial regularity of the solutions to a turbulent problem in porous media

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