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Large Eddy Simulation. Existence of stationary solutions to a dynamical model
Author(s) -
Świerczewska A.
Publication year - 2005
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200410200
Subject(s) - monotonic function , smoothing , monotone polygon , compact space , large eddy simulation , limit (mathematics) , turbulence , mathematics , flow (mathematics) , term (time) , navier–stokes equations , mathematical analysis , statistical physics , physics , mechanics , geometry , statistics , quantum mechanics , compressibility
We consider the existence of stationary solutions to the Germano Model ‐ equations describing turbulent flow of fluids. The model comes from Large Eddy Simulation techniques yielding modified Navier‐Stokes Equations with an additional nonlocal term. On one hand this nonlocalness disturbs monotonicity, but on the other hand it is helpful for compactness arguments. Thus we combine the methods of monotone operators and smoothing properties of convolutions in passing to the limit in the approximate problem.