Frequency Localized Regularity Criteria for the 3D Navier–Stokes Equations
Author:
Funder
National Science Foundation
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mathematics (miscellaneous),Analysis
Link
http://link.springer.com/content/pdf/10.1007/s00205-016-1069-9.pdf
Reference9 articles.
1. Bae H., Biswas A., Tadmor E.: Analyticity and decay estimates of the Navier–Stokes equations in critical Besov spaces. Arch. Ration. Mech. Anal. 205(3), 963–991 (2012)
2. Bahouri, H., Chemin, J.-Y., Danchin, R.: Fourier analysis and nonlinear partial differential equations, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 343. Springer, Heidelberg, 2011
3. Cheskidov A., Shvydkoy R.: The regularity of weak solutions of the 3D Navier–Stokes equations in $${B^{-1}_{\infty,\infty}}$$. Arch. Ration. Mech. Anal. 195(1), 159–169 (2010)
4. Cheskidov A., Shvydkoy R.: A unified approach to regularity problems for the 3D Navier–Stokes and Euler equations: the use of Kolmogorov’s dissipation range. J. Math. Fluid Mech. 16(2), 263–273 (2014)
5. Iskauriaza, L., Seregin, G., Šverák, V.: $${L_{3,\infty}}$$-solutions of Navier–Stokes equations and backward uniqueness. Uspekhi Mat. Nauk. 58(2(350)), 3–44 (2003)
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