Non linear systems of the type of the stationary Navier-Stokes system.
M. Giaquinta, G. Modica (1982)
Journal für die reine und angewandte Mathematik
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Displaying similar documents to “An analysis of stability concepts for the Navier-Stokes equations.”
Non linear systems of the type of the stationary Navier-Stokes system.
Higher order estimates in further dimensions for the solutions of Navier-Stokes equations
Michael Wiegner (2003)
Banach Center Publications
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Some remarks on variants of the Navier-Stokes equations
R. H. Dyer, D. E. Edmunds (1971)
Colloquium Mathematicae
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On the Qualitative Behavior of the Solutions to the 2-D Navier-Stokes Equation
M. Pulvirenti (2008)
Bollettino dell'Unione Matematica Italiana
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This talk, based on a research in collaboration with E. Caglioti and F.Rousset, deals with a modified version of the two-dimensional Navier-Stokes equation wich preserves energy and momentum of inertia. Such a new equation is motivated by the occurrence of different dissipation time scales. It is also related to the gradient flow structure of the 2-D Navier-Stokes equation. The hope is to understand intermediate asymptotics.
On the asymptotic properties of solutions of the Navier-Stokes equations in the half-space.
Crispo, F., Maremonti, P. (2004)
Zapiski Nauchnykh Seminarov POMI
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Global solutions, structure of initial data and the Navier-Stokes equations
Piotr Bogusław Mucha (2008)
Banach Center Publications
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In this note we present a proof of existence of global in time regular (unique) solutions to the Navier-Stokes equations in an arbitrary three dimensional domain with a general boundary condition. The only restriction is that the L₂-norm of the initial datum is required to be sufficiently small. The magnitude of the rest of the norm is not restricted. Our considerations show the essential role played by the energy bound in proving global in time results for the Navier-Stokes equations. ...
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.
A logarithmic regularity criterion for 3D Navier-Stokes system in a bounded domain
Jishan Fan, Xuanji Jia, Yong Zhou (2019)
Applications of Mathematics
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This paper proves a logarithmic regularity criterion for 3D Navier-Stokes system in a bounded domain with the Navier-type boundary condition.
Stability Analysis of a Difference Scheme for the Navier-Stokes Equations.
N.G. CAMPBELL (1970)
Numerische Mathematik
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Mulit-Grid Methods for Stokes and Navier-Stokes Equations. Transforming Smoothers: Algorithms and Numerical Results.
G. Wittum (1989)
Numerische Mathematik
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Some remarks on the Navier-Stokes equations with regularity in one direction
Zujin Zhang, Weijun Yuan, Yong Zhou (2019)
Applications of Mathematics
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We review the developments of the regularity criteria for the Navier-Stokes equations, and make some further improvements.
On generalized energy equality of the Navier-Stokes equations.
Yasushi Taniuchi (1997)
Manuscripta mathematica
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On error estimates of some higher order projection and penalty-projection methods for Navier-Stokes equations.
Jie Shen (1992)
Numerische Mathematik
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Dual-mixed finite element methods for the Navier-Stokes equations
Jason S. Howell, Noel J. Walkington (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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A mixed finite element method for the Navier–Stokes equations is introduced in which the stress is a primary variable. The variational formulation retains the mathematical structure of the Navier–Stokes equations and the classical theory extends naturally to this setting. Finite element spaces satisfying the associated inf–sup conditions are developed.
On ratio improvement of Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes system
Zujin Zhang, Chupeng Wu, Yong Zhou (2019)
Czechoslovak Mathematical Journal
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This paper concerns improving Prodi-Serrin-Ladyzhenskaya type regularity criteria for the Navier-Stokes system, in the sense of multiplying certain negative powers of scaling invariant norms.
Regular solutions of the Navier-Stokes system.
Chelkak, S., Koshelev, A., Oganesyan, L. (1997)
Memoirs on Differential Equations and Mathematical Physics
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On stability of axially symmetric solutions to Navier-Stokes equations in a cylindrical domain and with boundary slip conditions
M. Wiegner, W. M. Zajączkowski (2005)
Banach Center Publications
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The existence of global regular axially symmetric solutions to Navier-Stokes equations in a bounded cylinder and for boundary slip conditions is proved. Next, stability of these solutions is shown.
Finite element approximation of incompressible Navier-Stokes equations with slip boundary condition II.
R. Verfürth (1991)
Numerische Mathematik
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