On generalized energy equality of the Navier-Stokes equations.
Yasushi Taniuchi (1997)
Manuscripta mathematica
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Displaying similar documents to “On the Singular Set and the Uniqueness of Weak Solutions of the Navier-Stokes Equations.”
On generalized energy equality of the Navier-Stokes equations.
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Hideo Kozono, T. Ogawa, H. Sohr (1992)
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A remark on the uniqueness problem for the weak solutions of Navier-Stokes equations
Francis Ribaud (2002)
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Patrick Penel, Milan Pokorný (2004)
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We study the nonstationary Navier-Stokes equations in the entire three-dimensional space and give some criteria on certain components of gradient of the velocity which ensure its global-in-time smoothness.
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Shuji Takahashi (1990)
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Beirão da Veiga, H. (1997)
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Jiří Neustupa, Patrick Penel (2008)
Banach Center Publications
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We formulate a boundary value problem for the Navier-Stokes equations with prescribed u·n, curl u·n and alternatively (∂u/∂n)·n or curl²u·n on the boundary. We deal with the question of existence of a steady weak solution.
Some remarks on variants of the Navier-Stokes equations
R. H. Dyer, D. E. Edmunds (1971)
Colloquium Mathematicae
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On L2 Decay of Weak Solutions of the Navier-Stokes Equations in Rn.
Tetsuro Miyakawa, Ryuju Kajukiya (1986)
Mathematische Zeitschrift
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Higher order estimates in further dimensions for the solutions of Navier-Stokes equations
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Banach Center Publications
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Time-dependent coupling of Navier–Stokes and Darcy flows
Aycil Cesmelioglu, Vivette Girault, Béatrice Rivière (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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A weak solution of the coupling of time-dependent incompressible Navier–Stokes equations with Darcy equations is defined. The interface conditions include the Beavers–Joseph–Saffman condition. Existence and uniqueness of the weak solution are obtained by a constructive approach. The analysis is valid for weak regularity interfaces.
On Energy Inequality, Smoothness and Large Time Behavior in L2 for Weak Solutions of the Navier-Stokes Equations in Exterior Domains.
Hermann Sohr, Tetsuro Miyakawa (1988)
Mathematische Zeitschrift
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