Stability Estimate for Strong Solutions of the Navier-Stokes System and Its Applications
Date
1998-06-03
Authors
Kawanago, Tadashi
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We obtain a `stability estimate' for strong solutions of the Navier-Stokes system, which is an Lα-version, 1 < α < ∞, of the estimate that Serrin [Se] used in obtaining uniqueness of weak solutions to the Navier-Stokes system. By applying this estimate, we obtain new results in stability and uniqueness of solutions, and non-blowup conditions for strong solutions.
Description
Keywords
Navier-Stokes system, Strong solutions, Stability, Uniqueness, Non-blowup condition
Citation
Kawanago, T. (1998). Stability estimate for strong solutions of the Navier-Stokes system and its applications. <i>Electronic Journal of Differential Equations, 1998</i>(15), pp. 1-23.
Rights
Attribution 4.0 International