Global strong solutions in Sobolev or Lebesgue spaces to the incompressible Navier-Stokes equations in
F. Planchon (1996)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Global strong solution of the Navier-Stokes equations in 4 and 5 dimensional unbounded domains”
Global strong solutions in Sobolev or Lebesgue spaces to the incompressible Navier-Stokes equations in
Higher order estimates in further dimensions for the solutions of Navier-Stokes equations
Michael Wiegner (2003)
Banach Center Publications
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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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Some new regularity criteria for the Navier-Stokes equations containing gradient of the velocity
Patrick Penel, Milan Pokorný (2004)
Applications of Mathematics
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We study the nonstationary Navier-Stokes equations in the entire three-dimensional space and give some criteria on certain components of gradient of the velocity which ensure its global-in-time smoothness.
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. ...
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. ...
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.
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....
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.