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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Displaying similar documents to “On the Navier-Stokes Equations in Non-Cylindrical Domains: On the Existence and Regularity.”
On steady compressible Navier-Stokes equations in plane domains with corners.
Decay estimates for the compressible Navier-Stokes equations in unbounded domains.
Klaus Deckelnick (1992)
Mathematische Zeitschrift
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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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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.
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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Stationary Solutions to the Navier-Stokes Equations in Dimension Four.
Claus Gerhardt (1979)
Mathematische Zeitschrift
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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.
On Optimum Regularity of Navier-Stokes Solutions at Time t = 0.
Reimund Rautmann (1983)
Mathematische Zeitschrift
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On Asymptotic Behavior of Solution for the Navier-Stokes Equations in a Time Dependent Domain.
Yoshiaki Teramoto (1984)
Mathematische Zeitschrift
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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.
The stationary exterior 3 D-problem of Oseen and Navier-Stokes equations in anisotropically weighted Sobolev spaces.
Reinhard Farwig (1992)
Mathematische Zeitschrift
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Linear flow problems in 2D exterior domains for 2D incompressible fluid flows
Paweł Konieczny (2008)
Banach Center Publications
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The paper analyzes the issue of existence of solutions to linear problems in two dimensional exterior domains, linearizations of the Navier-Stokes equations. The systems are studied with a slip boundary condition. The main results prove the existence of distributional solutions for arbitrary data.
Two-dimensional Navier-Stokes flow in unbounded domains.
Hideo Kozono, Takayoshi Ogawa (1993)
Mathematische Annalen
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Lagrangian approximations and weak solutions of the Navier-Stokes equations
Werner Varnhorn (2008)
Banach Center Publications
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The motion of a viscous incompressible fluid flow in bounded domains with a smooth boundary can be described by the nonlinear Navier-Stokes equations. This description corresponds to the so-called Eulerian approach. We develop a new approximation method for the Navier-Stokes equations in both the stationary and the non-stationary case by a suitable coupling of the Eulerian and the Lagrangian representation of the flow, where the latter is defined by the trajectories of the particles...