Mathematical Results for Some α Models of Turbulence with Critical and Subcritical Regularizations

Author:

Ali Hani

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Condensed Matter Physics,Mathematical Physics

Reference22 articles.

1. Ali H., Ammari Z.: On the Hausdorff dimension of singular sets for the Leray-α Navier-Stokes equations with fractional regularization. Dyn. PDE 9(3), 261–271 (2012)

2. Ali, H.: On a critical Leray-α model of turbulence. Non linear Anal. Real World Appl. http://dx.doi.org/10.1016/j.nonrwa.2012.10.019 (in press)

3. Bjorland C., Schonbek M.E.: On questions of decay and existence for the viscous Camassa–Holm equations. Annales de l’Institut Henri Poincare (C) Non Linear Analysis 25(5), 907–936 (2008)

4. Bulíček, M., Málek, J., Terasawa, Y.: On Hausdorff dimension of blow-up times relevant to weak solution of generalized Navier–Stokes fluids. preprint of Nečas center for mathematical modeling (2010)

5. Cao Y., Lunasin E.M., Titi E.S.: Globall well-posdness of the three dimensional viscous and inviscid simplified bardina turbulence models. Commun. Math. Sci. 4(4), 823–848 (2006)

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