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Acta Mathematica Scientia

, Volume 39, Issue 1, pp 94–110 | Cite as

Partial Regularity of Stationary Navier-Stokes Systems under Natural Growth Condition

  • Lianhua He (何莲花)
  • Zhong Tan (谭忠)Email author
Article

Abstract

In this article, we consider the partial regularity of stationary Navier-Stokes system under the natural growth condition. Applying the method of A-harmonic approximation, we obtain some results about the partial regularity and establish the optimal Hölder exponent for the derivative of a weak solution on its regular set.

Key words

partial regularity Navier-Stoke systems natural growth condition A-harmonic approximation 

2010 MR Subject Classification

35J99 42B37 76D05 

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Copyright information

© Wuhan Institutes of Physics and Mathematics, Chinese Academy of Sciences 2019

Authors and Affiliations

  1. 1.School of Mathematical SciencesXiamen UniversityXiamenChina
  2. 2.School of Mathematics ScienceGuizhou Normal UniversityGuiyangChina
  3. 3.School of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling and Scientific ComputingXiamen UniversityXiamenChina

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