Interior regularity of weak solutions to the perturbed Navier-Stokes equations

Pigong Han

Applications of Mathematics (2012)

  • Volume: 57, Issue: 5, page 427-444
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Han, Pigong. "Interior regularity of weak solutions to the perturbed Navier-Stokes equations." Applications of Mathematics 57.5 (2012): 427-444. <http://eudml.org/doc/246868>.

@article{Han2012,
abstract = {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.},
author = {Han, Pigong},
journal = {Applications of Mathematics},
keywords = {perturbed Navier-Stokes equations; interior regularity; partial regularity; perturbed Navier-Stokes equation; interior regularity; partial regularity},
language = {eng},
number = {5},
pages = {427-444},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Interior regularity of weak solutions to the perturbed Navier-Stokes equations},
url = {http://eudml.org/doc/246868},
volume = {57},
year = {2012},
}

TY - JOUR
AU - Han, Pigong
TI - Interior regularity of weak solutions to the perturbed Navier-Stokes equations
JO - Applications of Mathematics
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 5
SP - 427
EP - 444
AB - 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.
LA - eng
KW - perturbed Navier-Stokes equations; interior regularity; partial regularity; perturbed Navier-Stokes equation; interior regularity; partial regularity
UR - http://eudml.org/doc/246868
ER -

References

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