Blow-up criterion for 3D navier-stokes equations and Landau-Lifshitz system in a bounded domain

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Abstract

In this paper we prove a blow-up criterion for the 3D Navier-Stokes equations in a bounded domain in terms of a BMO norm of vorticity. We will also prove a regularity criterion for the Landau-Lifshitz system in a bounded domain.

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Fan, J., & Ozawa, T. (2016). Blow-up criterion for 3D navier-stokes equations and Landau-Lifshitz system in a bounded domain. In Advances in Mathematical Fluid Mechanics - Dedicated to Giovanni Paolo Galdi on the Occasion of His 60th Birthday (Vol. none, pp. 175–182). Springer Verlag. https://doi.org/10.1007/978-3-0348-0939-9_10

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