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Found 99 Documents (Results 1–99)

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Ożański, Wojciech S.

The partial regularity theory of Caffarelli, Kohn, and Nirenberg and its sharpness. (English) Zbl 1441.35004

Advances in Mathematical Fluid Mechanics. Lecture Notes in Mathematical Fluid Mechanics. Cham: Birkhäuser (ISBN 978-3-030-26660-8/pbk; 978-3-030-26661-5/ebook). vi, 138 p. (2019).
Reviewer: Florin Catrina (New York)
MSC:  35-02 35B65 35Q30 76D03 76D05
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\textit{W. S. Ożański}, The partial regularity theory of Caffarelli, Kohn, and Nirenberg and its sharpness. Cham: Birkhäuser (2019; Zbl 1441.35004)
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Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan

From suitable weak solutions to entropy viscosity. (English) Zbl 1303.76007

Salvetti, Maria Vittoria (ed.) et al., Quality and reliability of large-eddy simulations II. Selected papers based on the presentations at the 2nd workshop (QLES 2009), Pisa, Italy, September 9–11, 2009. Dordrecht: Springer (ISBN 978-94-007-0230-1/hbk; 978-94-007-0231-8/ebook; 978-94-007-3415-9/pbk). ERCOFTAC Series 16, 373-390 (2011).
MSC:  76D03 76F65 35Q30
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\textit{J.-L. Guermond} et al., ERCOFTAC Ser. 16, 373--390 (2011; Zbl 1303.76007)
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Seregin, Gregory A.

Weak solutions to the Navier-Stokes equations with bounded scale-invariant quantities. (English) Zbl 1229.35191

Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-33-5/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 2105-2127 (2011).
MSC:  35Q30 76D05 35D30
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\textit{G. A. Seregin}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 2105--2127 (2011; Zbl 1229.35191)
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Biryuk, Andrei; Craig, Walter; Ibrahim, Slim

Construction of suitable weak solutions of the Navier-Stokes equations. (English) Zbl 1205.35187

Chen, Gui-Qiang (ed.) et al., Stochastic analysis and partial differential equations. Emphasis year 2004–2005 on stochastic analysis and partial differential equations, Evanston, IL, USA. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4059-7/pbk). Contemporary Mathematics 429, 1-18 (2007).
Reviewer: Ruxandra Stavre (Bucureşti)
MSC:  35Q30 76D03 35D30
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\textit{A. Biryuk} et al., Contemp. Math. 429, 1--18 (2007; Zbl 1205.35187)
Guermond, Jean-Luc

Finite-element-based Faedo-Galerkin weak solution to the Navier-Stokes equation in the three-dimensional torus are suitable. (Les solutions élements finis des équations de Navier-Stokes périodiques en dimension trois sont “appropriées”.) (French) Zbl 1081.35077

C. R., Math., Acad. Sci. Paris 341, No. 8, 491-496 (2005).
MSC:  35Q30 76M10 35D10
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\textit{J.-L. Guermond}, C. R., Math., Acad. Sci. Paris 341, No. 8, 491--496 (2005; Zbl 1081.35077)
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Neustupa, Jiří; Penel, Patrick

Regularity of a weak solution to the Navier-Stokes equation in dependence on eigenvalues and eigenvectors of the rate of deformation tensor. (English) Zbl 1078.35088

Rodrigues, José F. (ed.) et al., Trends in partial differential equations of mathematical physics. Selected papers of the international conference held on the occasion of the 70th birthday of V. A. Solonnikov, Óbidos, Portugal, June 7–10, 2003. Basel: Birkhäuser (ISBN 3-7643-7165-X/hbk). Progress in Nonlinear Differential Equations and their Applications 61, 197-212 (2005).
Reviewer: Milan Pokorný (Praha)
MSC:  35Q30 76D03 35D10
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\textit{J. Neustupa} and \textit{P. Penel}, Prog. Nonlinear Differ. Equ. Appl. 61, 197--212 (2005; Zbl 1078.35088)
Seregin, G. A.

Remarks on the regularity of weak solutions to the Navier-Stokes equations near the boundary. (English. Russian original) Zbl 1083.35098

J. Math. Sci., New York 127, No. 2, 1915-1922 (2005); translation from Zap. Nauchn. Semin. POMI 295, 168-179 (2003).
Reviewer: Il’ya Sh. Mogilevskij (Tver’)
MSC:  35Q30 35D10 76D03 76D05
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\textit{G. A. Seregin}, J. Math. Sci., New York 127, No. 2, 1915--1922 (2003; Zbl 1083.35098); translation from Zap. Nauchn. Semin. POMI 295, 168--179 (2003)
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