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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.19 No.3
- 발행연도
- 2016.1
- 수록면
- 465 - 476 (12page)
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초록· 키워드
오류제보하기
In 2003, Escauriaza, Seregin, Sver ak showed that if u ∈ L∞(0, T;L3(R³)), then the solution is smooth on (0,T). In this paper, we shall derive the corresponding result for the one component case, that is, we obtain the following regularity criterion: u3 ∈ L∞(0,T;L2 15/4 L3 10/3 L13(R³)) or υ3 ∈ L∞(0,T;L1 15/4 L3 10/3 L23(R³)).
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참고문헌 (39)
참고문헌 신청
H. Beirao da Veiga / 1995 / A new regularity class for the Navier-Stokes equations in Rn / Chinese Ann. Math. Ser. B 16:407~412
C.S. Cao / 2010 / Sufficient conditions for the regularity to the 3D Navier-Stokes equations / Discrete Contin. Dyn. Syst. 26:1141~1151
C.S. Cao / 2011 / Global regularity criterion for the 3D Navier-Stokes Equations involving one entry of the velocity gradient tensor / Arch. Rational Mech. Anal 202:919~932
C.S. Cao / 2008 / Regularity criteria for the three-dimensional Navier-Stokes equations / Indiana Univ. Math. J. 57:2643~2661
P. Constantin / 1988 / Chicago Lectures in Mathematics Series
C.S. Cao / 2010 / Sufficient conditions for the regularity to the 3D Navier-Stokes equations / Discrete Contin. Dyn. Syst. 26:1141~1151
C.S. Cao / 2011 / Global regularity criterion for the 3D Navier-Stokes Equations involving one entry of the velocity gradient tensor / Arch. Rational Mech. Anal 202:919~932
C.S. Cao / 2008 / Regularity criteria for the three-dimensional Navier-Stokes equations / Indiana Univ. Math. J. 57:2643~2661
P. Constantin / 1988 / Chicago Lectures in Mathematics Series
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