G. A. Seregin, “New version of the Ladyzhenskaya–Prodi–Serrin condition”, Algebra i Analiz, 18:1 (2006), 124–143; St. Petersburg Math. J., 18:1 (2007), 89

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Algebra i Analiz, 2006, Volume 18, Issue 1, Pages 124–143 (Mi aa62)

This article is cited in 10 scientific papers (total in 10 papers)

Research Papers

New version of the Ladyzhenskaya–Prodi–Serrin condition

G. A. Seregin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Full-text PDF (205 kB) Citations (10)

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Abstract: A new local version of the Ladyzhenskaya–Prodi–Serrin regularity condition for weak solutions of the nonstationary 3-dimensional Navier-Stokes system is proved. The novelty is in that the energy of the solution is not assumed to be finite.

Received: 29.09.2005

English version:
St. Petersburg Mathematical Journal, 2007, Volume 18, Issue 1, Pages 89–103
DOI: https://doi.org/10.1090/S1061-0022-06-00944-7

Bibliographic databases:

Document Type: Article

MSC: 35Q30

Language: Russian

Citation: G. A. Seregin, “New version of the Ladyzhenskaya–Prodi–Serrin condition”, Algebra i Analiz, 18:1 (2006), 124–143; St. Petersburg Math. J., 18:1 (2007), 89–103

Citation in format AMSBIB

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\paper New version of the Ladyzhenskaya--Prodi--Serrin condition

\jour Algebra i Analiz

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\pages 124--143

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\zmath{https://zbmath.org/?q=an:1129.35060}

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\transl

\jour St. Petersburg Math. J.

\yr 2007

\vol 18

\issue 1

\pages 89--103

\crossref{https://doi.org/10.1090/S1061-0022-06-00944-7}

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https://www.mathnet.ru/eng/aa62

https://www.mathnet.ru/eng/aa/v18/i1/p124

This publication is cited in the following 10 articles:

Barker T., Prange Ch., “Quantitative Regularity For the Navier-Stokes Equations Via Spatial Concentration”, Commun. Math. Phys., 385:2 (2021), 717–792
Barker T., Prange Ch., “Localized Smoothing For the Navier-Stokes Equations and Concentration of Critical Norms Near Singularities”, Arch. Ration. Mech. Anal., 236:3 (2020), 1487–1541
Barker T. Prange Ch., “Scale-Invariant Estimates and Vorticity Alignment For Navier-Stokes in the Half-Space With No-Slip Boundary Conditions”, Arch. Ration. Mech. Anal., 235:2 (2020), 881–926
Neustupa J., Necasova S., Kucera P., “A Pressure Associated With a Weak Solution to the Navier-Stokes Equations With Navier'S Boundary Conditions”, J. Math. Fluid Mech., 22:3 (2020), 37
Gregory Seregin, Vladimir Šverák, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2018, 829
Gregory Seregin, Vladimir Šverák, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2016, 1
Choi K., Vasseur A.F., “Estimates on Fractional Higher Derivatives of Weak Solutions For the Navier–Stokes Equations”, Ann. Inst. Henri Poincare-Anal. Non Lineaire, 31:5 (2014), 899–945
Chen X., Gala S., “Remarks on logarithmically regularity criteria for the 3D viscous MHD equations”, J. Korean Math. Soc., 48:3 (2011), 465–474
Seregin G., Zajaczkowski W., “A sufficient condition of regularity for axially symmetric solutions to the Navier–Stokes equations”, SIAM J. Math. Anal., 39:2 (2007), 669–685 (electronic)
J. Math. Sci. (N. Y.), 143:2 (2007), 2911–2923

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	110
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