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Volumn 45, Issue 2, 2008, Pages 537-558

Regularity criterion on weak solutions to the Navier-Stokes equations

Author keywords

Multiplier spaces; Navier Stokes equations; Regularity; Weak solution

Indexed keywords


EID: 40949118641     PISSN: 03049914     EISSN: None     Source Type: Journal    
DOI: 10.4134/JKMS.2008.45.2.537     Document Type: Article
Times cited : (11)

References (20)
  • 4
    • 0012890688 scopus 로고
    • Une remarque sur l'unicité des solutions des équations de Navier-Stokes en dimension n
    • C. Foias, Une remarque sur l'unicité des solutions des équations de Navier-Stokes en dimension n, Bull. Soc. Math. France 89 (1961), 1-8.
    • (1961) Bull. Soc. Math. France , vol.89 , pp. 1-8
    • Foias, C.1
  • 5
    • 33745325637 scopus 로고
    • p spaces of several variables
    • p spaces of several variables, Acta Math. 129 (1972), no. 3-4, 137-193.
    • (1972) Acta Math , vol.129 , Issue.3-4 , pp. 137-193
    • Fefferman, C.1    Stein, E.M.2
  • 6
    • 84944818416 scopus 로고
    • Über die Anfangswertaufgabe fur die hydrodynamischen Grundgleichungen
    • E. Hopf, Über die Anfangswertaufgabe fur die hydrodynamischen Grundgleichungen, Math. Nachr. 4 (1951), 213-231.
    • (1951) Math. Nachr , vol.4 , pp. 213-231
    • Hopf, E.1
  • 7
    • 0002702811 scopus 로고
    • Strong solutions of the Navier-Stokes equation in Morrey spaces
    • T. Kato, Strong solutions of the Navier-Stokes equation in Morrey spaces, Bol. Soc. Brasil. Mat. (N.S.) 22 (1992), no. 2, 127-155.
    • (1992) Bol. Soc. Brasil. Mat. (N.S.) , vol.22 , Issue.2 , pp. 127-155
    • Kato, T.1
  • 8
    • 0011968025 scopus 로고    scopus 로고
    • Regularity criterion of weak solutions to the Navier-Stokes equations
    • H. Kozono and H. Sohr, Regularity criterion of weak solutions to the Navier-Stokes equations, Adv. Differential Equations 2 (1997), no. 4, 535-554.
    • (1997) Adv. Differential Equations , vol.2 , Issue.4 , pp. 535-554
    • Kozono, H.1    Sohr, H.2
  • 9
    • 0034389838 scopus 로고    scopus 로고
    • Bilinear estimates in BMO and the Navier-Stokes equations
    • H. Kozono and Y. Taniuchi, Bilinear estimates in BMO and the Navier-Stokes equations, Math. Z. 235 (2000), no. 1, 173-194.
    • (2000) Math. Z , vol.235 , Issue.1 , pp. 173-194
    • Kozono, H.1    Taniuchi, Y.2
  • 11
    • 33747058292 scopus 로고    scopus 로고
    • Multipliers between Sobolev spaces and fractional differentiation
    • P. G. Lemarié-Rieusset and S. Gala, Multipliers between Sobolev spaces and fractional differentiation, J. Math. Anal. Appl. 322 (2006), no. 2, 1030-1054.
    • (2006) J. Math. Anal. Appl , vol.322 , Issue.2 , pp. 1030-1054
    • Lemarié-Rieusset, P.G.1    Gala, S.2
  • 12
    • 51249193194 scopus 로고
    • Sur le mouvement d'un liquide visqueux emplissant l'espace
    • J. Leray, Sur le mouvement d'un liquide visqueux emplissant l'espace, Acta Math. 63 (1934), no. 1, 193-248.
    • (1934) Acta Math , vol.63 , Issue.1 , pp. 193-248
    • Leray, J.1
  • 14
    • 84972564208 scopus 로고
    • Weak solutions of Navier-Stokes equations
    • K. Masuda, Weak solutions of Navier-Stokes equations, Tohoku Math. J. (2) 36 (1984), no. 4, 623-646.
    • (1984) Tohoku Math. J. (2) , vol.36 , Issue.4 , pp. 623-646
    • Masuda, K.1
  • 16
    • 0000169262 scopus 로고
    • On the interior regularity of weak solutions of the Navier-Stokes equations
    • J. Serrin, On the interior regularity of weak solutions of the Navier-Stokes equations, Arch. Rational Mech. Anal. 9 (1962), 187-195.
    • (1962) Arch. Rational Mech. Anal , vol.9 , pp. 187-195
    • Serrin, J.1
  • 17
    • 85036935948 scopus 로고    scopus 로고
    • E. M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, With the assistance of Timothy S. Murphy. Princeton Mathematical Series, 43. Monographs in Harmonic Analysis, III. Princeton University Press, Princeton, NJ, 1993.
    • E. M. Stein, Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals, With the assistance of Timothy S. Murphy. Princeton Mathematical Series, 43. Monographs in Harmonic Analysis, III. Princeton University Press, Princeton, NJ, 1993.
  • 18
    • 0003263410 scopus 로고
    • Introduction to Fourier Analysis on Euclidean Spaces
    • Princeton University Press, Princeton, N.J
    • E. M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton Mathematical Series, No. 32. Princeton University Press, Princeton, N.J., 1971.
    • (1971) Princeton Mathematical Series , vol.32
    • Stein, E.M.1    Weiss, G.2
  • 19
    • 0000830871 scopus 로고
    • Analysis on Morrey spaces and applications to Navier-Stokes and other evolution equations
    • M. E. Taylor, Analysis on Morrey spaces and applications to Navier-Stokes and other evolution equations, Comm. Partial Differential Equations 17 (1992), no. 9-10, 1407-1456.
    • (1992) Comm. Partial Differential Equations , vol.17 , Issue.9-10 , pp. 1407-1456
    • Taylor, M.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.