On the Navier-Stokes Equations in Non-Cylindrical Domains: On the Existence and Regularity.
Rodolfo Salvi (1988)
Mathematische Zeitschrift
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Displaying similar documents to “On Optimum Regularity of Navier-Stokes Solutions at Time t = 0.”
On the Navier-Stokes Equations in Non-Cylindrical Domains: On the Existence and Regularity.
Global strong solution and its decay properties for the Navier-Stokes equations in three dimensional domains with non-compact boundaries.
Hideo Kozono, Takayoshi Ogawa (1994)
Mathematische Zeitschrift
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On the conditional regularity of the Navier-Stokes and related equations
Dongho Chae (2006)
Banach Center Publications
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We present regularity conditions for a solution to the 3D Navier-Stokes equations, the 3D Euler equations and the 2D quasigeostrophic equations, considering the vorticity directions together with the vorticity magnitude. It is found that the regularity of the vorticity direction fields is most naturally measured in terms of norms of the Triebel-Lizorkin type.
A short note on regularity criteria for the Navier-Stokes equations containing the velocity gradient
Milan Pokorný (2005)
Banach Center Publications
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We review several regularity criteria for the Navier-Stokes equations and prove some new ones, containing different components of the velocity gradient.
Stationary Solutions to the Navier-Stokes Equations in Dimension Four.
Claus Gerhardt (1979)
Mathematische Zeitschrift
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On the regularity with respect to time of weak solutions of the Navier-Stokes equations
K. K. Golovkin, A. Krzywicki (1967)
Colloquium Mathematicae
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Regularity criterion for weak solutions to the Navier-Stokes equations in terms of the gradient of the pressure.
Fan, Jishan, Ozawa, Tohru (2008)
Journal of Inequalities and Applications [electronic only]
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Boundary partial regularity for the Navier-Stokes equations.
Seregin, G.A., Shilkin, T.N., Solonnikov, V.N. (2004)
Journal of Mathematical Sciences (New York)
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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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Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity
Patrick Penel, Milan Pokorný (2004)
Applications of Mathematics
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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.
On regularity of stationary solutions to the Navier-Stokes equation in 3D torus.
Zubelevich, Oleg (2005)
Lobachevskii Journal of Mathematics
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Regularity properties of the attractor to the Navier-Stokes equations
Piotr Kacprzyk (2010)
Applicationes Mathematicae
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Existence of a global attractor for the Navier-Stokes equations describing the motion of an incompressible viscous fluid in a cylindrical pipe has been shown already. In this paper we prove the higher regularity of the attractor.
Some remarks on variants of the Navier-Stokes equations
R. H. Dyer, D. E. Edmunds (1971)
Colloquium Mathematicae
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On interior regularity criteria for weak solutions of the navier-stokes equations.
Shuji Takahashi (1990)
Manuscripta mathematica
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The Stokes system in the incompressible case-revisited
Rainer Picard (2008)
Banach Center Publications
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The classical Stokes system is reconsidered and reformulated in a functional analytical setting allowing for low regularity of the data and the boundary. In fact the underlying domain can be any non-empty open subset Ω of ℝ³. A suitable solution concept and a corresponding solution theory is developed.