Stability Estimate for Strong Solutions of the Navier-Stokes System and Its Applications
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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.
CitationKawanago, T. (1998). Stability estimate for strong solutions of the Navier-Stokes system and its applications. Electronic Journal of Differential Equations, 1998(15), pp. 1-23.
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