For the 3D modified Leray-alpha model, an assimilated solution with a guessed parameter β converges to the true solution up to an error of order |α²-β²|², under explicit conditions.
On a Leray–α model of turbulence, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461, 629-649, 2005
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Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches
For the 3D modified Leray-alpha model, an assimilated solution with a guessed parameter β converges to the true solution up to an error of order |α²-β²|², under explicit conditions.