P. Coletti, A GLOBAL EXISTENCE THEOREM FOR LARGE-EDDY SIMULATION TURBULENCE MODEL, Mathematical models and methods in applied sciences, 7(5), 1997, pp. 579-591
In this work we show the existence and uniqueness in Sobolev spaces of
the solution of Large Eddy Simulation turbulence model for any time p
rovided that initial data and external forces are regular and small en
ough. We also show that if external forces are time-periodic or time-i
ndependent, then the solution is time-periodic or time-independent.