Lq - Lr estimates for solutions of the nonstationary Stokes equations in an exterior domain and the Navier-Stokes initial value problems in Lq spaces.
Hirokazu Iwashita (1989)
Mathematische Annalen
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Displaying similar documents to “On steady compressible Navier-Stokes equations in plane domains with corners.”
Lq - Lr estimates for solutions of the nonstationary Stokes equations in an exterior domain and the Navier-Stokes initial value problems in Lq spaces.
On some free boundary problems for the Navier-Stokes equations with moving contact points and lines.
V.A. Solonnikov (1995)
Mathematische Annalen
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Two-dimensional Navier-Stokes flow in unbounded domains.
Hideo Kozono, Takayoshi Ogawa (1993)
Mathematische Annalen
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On the Navier-Stokes Equations in Non-Cylindrical Domains: On the Existence and Regularity.
Rodolfo Salvi (1988)
Mathematische Zeitschrift
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L2 Decay for the Navier-Stokes Flow in Halfspaces.
Wolfgang Borchers, Tetsuro Miyakawa (1988)
Mathematische Annalen
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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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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.
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.
Existence of regular solutions to the stationary Navier-Stokes equations.
Jens Frehse, Michael Ruzicka (1995)
Mathematische Annalen
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Higher order estimates in further dimensions for the solutions of Navier-Stokes equations
Michael Wiegner (2003)
Banach Center Publications
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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.
Analytical solution of Stokes flow near corners and applications to numerical solution of Navier-Stokes equations with high precision
Burda, Pavel, Novotný, Jaroslav, Šístek, Jakub
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We present analytical solution of the Stokes problem in 2D domains. This is then used to find the asymptotic behavior of the solution in the vicinity of corners, also for Navier-Stokes equations in 2D. We apply this to construct very precise numerical finite element solution.
On the Navier-Stokes equations with anisotropic wall slip conditions
Christiaan Le Roux (2023)
Applications of Mathematics
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This article deals with the solvability of the boundary-value problem for the Navier-Stokes equations with a direction-dependent Navier type slip boundary condition in a bounded domain. Such problems arise when steady flows of fluids in domains with rough boundaries are approximated as flows in domains with smooth boundaries. It is proved by means of the Galerkin method that the boundary-value problem has a unique weak solution when the body force and the variability of the surface friction...
Regular solutions of the stationary Navier-Stokes equations on ....
Michael Struwe (1995)
Mathematische Annalen
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Global attractor for Navier-Stokes equations in cylindrical domains
Bernard Nowakowski, Wojciech M. Zajączkowski (2009)
Applicationes Mathematicae
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Global and regular solutions of the Navier-Stokes system in cylindrical domains have already been obtained under the assumption of smallness of (1) the derivative of the velocity field with respect to the variable along the axis of cylinder, (2) the derivative of force field with respect to the variable along the axis of the cylinder and (3) the projection of the force field on the axis of the cylinder restricted to the part of the boundary perpendicular to the axis of the cylinder....