On the existence of weak solutions to a stationary one-equation RANS model with unbounded eddy viscosities
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Abstract
We study a one-equation RANS model with eddy viscosities that include, as a special case, the classical Kolmogorov–Prandtl expression. Under mild assumptions on the data, we prove the existence of a weak solution involving a defect measure. For external forces with sufficiently small norm, we obtain the existence of a weak solution in the usual sense.
Keywords
Navier–Stokes equations Turbulent kinetic energy Kolmogorov–Prandtl expression Meyers’ estimateMathematics Subject Classification (2000)
76D03 76D05 76F05 35J99Preview
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