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Local well-posedness of Kolmogorov's two-equation model of turbulence in fractional Sobolev Spaces
Przemysław Kosewski
We study Kolmogorov's two-equation model of turbulence on dimensional torus. First, the local existence of the solution with the initial data from non-homogeneous fractional So…
Existence and regularity result for Stokes system with special inlet/outlet condition
Kamil Wołos, Przemysław Kosewski
Our aim is to analyse special type of boundary conditions, created to simulate flows like in cardiovascular and respiratory systems. Firstly, we will describe model of viscous, inc…
Global in time solution to Kolmogorov's two-equation model of turbulence with small initial data
Przemysław Kosewski, Adam Kubica
We prove the existence of global in time solution to Kolmogorov's two-equation model of turbulence in three dimensional domain with periodic boundary conditions under smallness ass…
Local in time solution to Kolmogorov's two-equation model of turbulence
Przemysław Kosewski, Adam Kubica
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 m…