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 “L2 Decay for the Navier-Stokes Flow in Halfspaces.”
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 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.
Higher order estimates in further dimensions for the solutions of Navier-Stokes equations
Michael Wiegner (2003)
Banach Center Publications
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Two-dimensional Navier-Stokes flow in unbounded domains.
Hideo Kozono, Takayoshi Ogawa (1993)
Mathematische Annalen
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-theory of the Navier-Stokes flow in the exterior of a moving or rotating obstacle
Geissert, M., Hieber, M.
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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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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.
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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Global regularity for the 3D inhomogeneous incompressible Navier-Stokes equations with damping
Kwang-Ok Li, Yong-Ho Kim (2023)
Applications of Mathematics
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This paper is concerned with the 3D inhomogeneous incompressible Navier-Stokes equations with damping. We find a range of parameters to guarantee the existence of global strong solutions of the Cauchy problem for large initial velocity and external force as well as prove the uniqueness of the strong solutions. This is an extension of the theorem for the existence and uniqueness of the 3D incompressible Navier-Stokes equations with damping to inhomogeneous viscous incompressible fluids. ...
On steady compressible Navier-Stokes equations in plane domains with corners.
S.A. Nazarov, A. Novotny, K. Pileckas (1996)
Mathematische Annalen
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Global attractor for the Navier-Stokes equations in a cylindrical pipe
Piotr Kacprzyk (2010)
Annales Polonici Mathematici
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Global existence of regular special solutions to the Navier-Stokes equations describing the motion of an incompressible viscous fluid in a cylindrical pipe has already been shown. In this paper we prove the existence of the global attractor for the Navier-Stokes equations and convergence of the solution to a stationary solution.
Existence of regular solutions to the stationary Navier-Stokes equations.
Jens Frehse, Michael Ruzicka (1995)
Mathematische Annalen
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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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