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.
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.
Decay estimates for the compressible Navier-Stokes equations in unbounded domains.
Klaus Deckelnick (1992)
Mathematische Zeitschrift
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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.
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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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. ...
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 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.
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...