The Regularity of Weak Solutions of the 3D Navier–Stokes Equations in $${B^{-1}_{\infty,\infty}}$$

Author:

Cheskidov A.,Shvydkoy R.

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Reference17 articles.

1. Bourgain, J., Pavlovic, N.: Ill-posedness of the Navier–Stokes equations in a critical space in 3D. arXiv:0807.0882

2. Cannone, M.: Harmonic analysis tools for solving the incompressible Navier–Stokes equations. Handbook of Mathematical Fluid Dynamics, Vol. 3 (Eds. Friedlander, S., Serre, D.). Elsevier, 2003

3. Cannone, M., Planchon, F.: More Lyapunov functions for the Navier–Stokes equations. The Navier–Stokes Equations: Theory and Numerical Methods (Varenna, 2000). Lecture Notes in Pure and Appl. Math. 223, Dekker, New York, 19–26, 2002

4. Chemin, J.-Y., Gallagher, I.: Wellposedness and stability results for the Navier–Stokes equations on $${\mathbb{R}^3}$$ . Ann. Inst. H. Poincaré Anal. Non Linéaire (to appear)

5. Chen Q., Zhang Z.: Space-time estimates in the Besov spaces and the Navier–Stokes equations. Methods Appl. Anal. 13, 107–122 (2006)

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