Geodesic
Interior regularity of weak solutions to the perturbed Navier-Stokes equations
Applications of Mathematics, Tome 57 (2012) no. 5, pp. 427-444
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In this paper we establish interior regularity for weak solutions and partial regularity for suitable weak solutions of the perturbed Navier-Stokes system, which can be regarded as generalizations of the results in L. Caffarelli, R. Kohn, L. Nirenberg: Partial regularity of suitable weak solutions of the Navier-Stokes equations, Commun. Pure. Appl. Math. 35 (1982), 771–831, and S. Takahashi, On interior regularity criteria for weak solutions of the Navier-Stokes equations, Manuscr. Math. 69 (1990), 237–254.
In this paper we establish interior regularity for weak solutions and partial regularity for suitable weak solutions of the perturbed Navier-Stokes system, which can be regarded as generalizations of the results in L. Caffarelli, R. Kohn, L. Nirenberg: Partial regularity of suitable weak solutions of the Navier-Stokes equations, Commun. Pure. Appl. Math. 35 (1982), 771–831, and S. Takahashi, On interior regularity criteria for weak solutions of the Navier-Stokes equations, Manuscr. Math. 69 (1990), 237–254.
DOI : 10.1007/s10492-012-0025-8
Classification : 35B65, 35Q30, 76D05
Keywords: perturbed Navier-Stokes equations; interior regularity; partial regularity 
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Han, Pigong. Interior regularity of weak solutions to the perturbed Navier-Stokes equations. Applications of Mathematics, Tome 57 (2012) no. 5, pp. 427-444. doi: 10.1007/s10492-012-0025-8

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