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Local in Time Solution to Kolmogorov’s Two-Equation Model of Turbulence

Kosewski Przemysław,Kubica Adam

Monatshefte für Mathematik（2022）

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Abstract
We prove the existence of local in time solution to Kolmogorov’s two-equation model of turbulence in three dimensional domain with periodic boundary conditions. We apply Galerkin method for appropriate truncated problem. Next, we obtain estimates for a limit of approximate solutions to ensure that it satisfies the original problem.
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Key words
Kolmogorov’s two-equation model of turbulence,Local in time solution,Galerkin method
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