Quantitative robustness of regularity for 3D Navier–Stokes system in Ḣα-spaces. (October 2016)

• Record Type: Journal Article
• Authors: Burczak, Jan; Zaja̧czkowski, Wojciech M.
• Is Part Of: Nonlinear analysis. Volume 31(2016)
• Page Start: 513
• Page End: 532
• Publication Date: 2016-10
• Subjects: Navier–Stokes system -- Stability -- Regularity -- Numerical verification of regularity -- Numerical falsification of regularity -- Homogeneous Sobolev spaces; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2016.03.001
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We present stability and regularity results for the 3D incompressible Navier–Stokes system in a periodic box, in H ̇ α spaces, with α ∈ [ 1 / 2, 1 ] . A special attention is paid to obtaining quantitative results, i.e. ones with explicit or at least computable constants, and to scaling.