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Indiana University Mathematics Journal
Volumn 53, Issue 4, 2004, Pages 1073-1080
Interpolation between algebraic and geometric conditions for smoothness of the vorticity in the 3D NSE
Author keywords

Geometric depletion of the nonlinearity; Navier Stokes equations; Vorticity
Indexed keywords

EID: 8844272626     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.2004.53.2415     Document Type: Article
Times cited : (29)
References (12)
  • 1
    • 34250136481 scopus 로고
    • Remarks on the breakdown of smooth solutions for the 3-D Euler equations
    • MR 85j:35154
    • J.T. BEALE, T. KATO, and A. MAJDA, Remarks on the breakdown of smooth solutions for the 3-D Euler equations, Comm. Math. Phys. 94 (1984), 61-66. MR 85j:35154
    • (1984) Comm. Math. Phys. , vol.94 , pp. 61-66
    • Beale, J.T.1    Kato, T.2    Majda, A.3
  • 3
    • 0013085358 scopus 로고    scopus 로고
    • On the regularizing effect of the vorticity direction in incompressible viscous flows
    • MR 2002k:35248
    • HUGO BEIRÃO DA VEIGA and LUIGI C. BERSELLI, On the regularizing effect of the vorticity direction in incompressible viscous flows, Differential Integral Equations 15 (2002), 345-356. MR 2002k:35248
    • (2002) Differential Integral Equations , vol.15 , pp. 345-356
    • Beirão Da Veiga, H.1    Berselli, L.C.2
  • 4
    • 0001382341 scopus 로고
    • Navier-Stokes equations and area of interfaces
    • MR 91i:35148
    • PETER CONSTANTIN, Navier-Stokes equations and area of interfaces, Comm. Math. Phys. 129 (1990), 241-266. MR 91i:35148
    • (1990) Comm. Math. Phys. , vol.129 , pp. 241-266
    • Constantin, P.1
  • 5
    • 0028388187 scopus 로고
    • Geometric statistics in turbulence
    • MR 95d:76057
    • _, Geometric statistics in turbulence, SIAM Rev. 36 (1994), 73-98. MR 95d:76057
    • (1994) SIAM Rev. , vol.36 , pp. 73-98
  • 6
    • 0000646280 scopus 로고
    • Direction of vorticity and the problem of global regularity for the Navier-Stokes equations
    • MR 95j:35169
    • PETER CONSTANTIN and CHARLES FEFFERMAN, Direction of vorticity and the problem of global regularity for the Navier-Stokes equations, Indiana Univ. Math. J. 42 (1993), 775-789. MR 95j:35169
    • (1993) Indiana Univ. Math. J. , vol.42 , pp. 775-789
    • Constantin, P.1    Fefferman, C.2
  • 8
    • 0040485118 scopus 로고    scopus 로고
    • The geometric structure of the super-level sets and regularity for 3D Navier-Stokes equations
    • MR 2002i:35146
    • ZORAN GRUJIĆ, The geometric structure of the super-level sets and regularity for 3D Navier-Stokes equations, Indiana Univ. Math. J. 50 (2001), 1309-1317. MR 2002i:35146
    • (2001) Indiana Univ. Math. J. , vol.50 , pp. 1309-1317
    • Grujić, Z.1
  • 9
    • 0038815943 scopus 로고    scopus 로고
    • Removable singularities of weak solutions to the Navier-Stokes equations
    • MR 99g:35103
    • HIDEO KOZONO, Removable singularities of weak solutions to the Navier-Stokes equations, Comm. Partial Differential Equations 23 (1998), 949-966. MR 99g:35103
    • (1998) Comm. Partial Differential Equations , vol.23 , pp. 949-966
    • Kozono, H.1
  • 10
    • 0034389838 scopus 로고    scopus 로고
    • Bilinear estimates in BMO and the Navier-Stokes equations
    • DOI 10.1007/s002090000130. MR2001g:76011
    • HIDEO KOZONO and YASUSHI TANIUCHI, Bilinear estimates in BMO and the Navier-Stokes equations, Math. Z. 235 (2000), DOI 10.1007/s002090000130, 173-194, http://dx.doi.org/10.1007/s002090000130. MR2001g:76011
    • (2000) Math. Z. , vol.235 , pp. 173-194
    • Kozono, H.1    Taniuchi, Y.2
  • 11
    • 0001307388 scopus 로고
    • Un teorema di unicità per le equazioni di Navier-Stokes
    • MR 23 #A3384 (Italian)
    • GIOVANNI PRODI, Un teorema di unicità per le equazioni di Navier-Stokes, Ann. Mat. Pura Appl. (4) 48 (1959), 173-182. MR 23 #A3384 (Italian)
    • (1959) Ann. Mat. Pura Appl. , vol.48 , Issue.4 , pp. 173-182
    • Prodi, G.1
  • 12
    • 0000169262 scopus 로고
    • On the interior regularity of weak solutions of the Navier-Stokes equations
    • MR 25 #346
    • JAMES SERRIN, On the interior regularity of weak solutions of the Navier-Stokes equations, Arch. Rational Mech. Anal. 9 (1962), 187-195. MR 25 #346
    • (1962) Arch. Rational Mech. Anal. , vol.9 , pp. 187-195
    • Serrin, J.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.