Local regularity criteria of the navier-stokes equations with slip boundary conditions

Hyeong Ohk Bae; Kyungkeun Kang; Myeonghyeon Kim

doi:10.4134/JKMS.j150191

Local regularity criteria of the navier-stokes equations with slip boundary conditions

Hyeong Ohk Bae, Kyungkeun Kang, Myeonghyeon Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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Abstract

We present regularity conditions for suitable weak solutions of the Navier-Stokes equations with slip boundary data near the curved boundary. To be more precise, we prove that suitable weak solutions become regular in a neighborhood boundary points, provided the scaled mixed norm L(Formula Presented) with 3/p + 2/q = 2, 1 ≤ q < ∞ is sufficiently small in the neighborhood.

Original language	English
Pages (from-to)	597-621
Number of pages	25
Journal	Journal of the Korean Mathematical Society
Volume	53
Issue number	3
DOIs	https://doi.org/10.4134/JKMS.j150191
Publication status	Published - 2016

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© 2016 Korean Mathematical Society.

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.4134/JKMS.j150191

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title = "Local regularity criteria of the navier-stokes equations with slip boundary conditions",

abstract = "We present regularity conditions for suitable weak solutions of the Navier-Stokes equations with slip boundary data near the curved boundary. To be more precise, we prove that suitable weak solutions become regular in a neighborhood boundary points, provided the scaled mixed norm L(Formula Presented) with 3/p + 2/q = 2, 1 ≤ q < ∞ is sufficiently small in the neighborhood.",

author = "Bae, {Hyeong Ohk} and Kyungkeun Kang and Myeonghyeon Kim",

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AU - Kang, Kyungkeun

AU - Kim, Myeonghyeon

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N2 - We present regularity conditions for suitable weak solutions of the Navier-Stokes equations with slip boundary data near the curved boundary. To be more precise, we prove that suitable weak solutions become regular in a neighborhood boundary points, provided the scaled mixed norm L(Formula Presented) with 3/p + 2/q = 2, 1 ≤ q < ∞ is sufficiently small in the neighborhood.

AB - We present regularity conditions for suitable weak solutions of the Navier-Stokes equations with slip boundary data near the curved boundary. To be more precise, we prove that suitable weak solutions become regular in a neighborhood boundary points, provided the scaled mixed norm L(Formula Presented) with 3/p + 2/q = 2, 1 ≤ q < ∞ is sufficiently small in the neighborhood.

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Local regularity criteria of the navier-stokes equations with slip boundary conditions

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