On the regular solutions for some classes of Navier-Stokes equations
Y. Ebihara, L.A. Medeiros (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “Boundedness and stabilization in a three-dimensional two-species chemotaxis-Navier-Stokes system”
On the regular solutions for some classes of Navier-Stokes equations
On the global wellposedness of the 3-D Navier–Stokes equations with large initial data
Jean-Yves Chemin, Isabelle Gallagher (2006)
Annales scientifiques de l'École Normale Supérieure
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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 3D navier-stokes equations seen as a perturbation of the 2D navier-stokes equations
Dragoş Iftimie (1999)
Bulletin de la Société Mathématique de France
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The Navier-Stokes equation with inhomogeneous boundary conditions based on vorticity
Jiří Neustupa, Patrick Penel (2008)
Banach Center Publications
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We formulate a boundary value problem for the Navier-Stokes equations with prescribed u·n, curl u·n and alternatively (∂u/∂n)·n or curl²u·n on the boundary. We deal with the question of existence of a steady weak solution.
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.
Higher order estimates in further dimensions for the solutions of Navier-Stokes equations
Michael Wiegner (2003)
Banach Center Publications
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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. ...
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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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.
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.
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.
On the Stokes and Navier-Stokes flows in a perturbed half-space
Takayuki Kubo, Yoshihiro Shibata (2005)
Banach Center Publications
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We give the estimate for the Stokes semigroup in a perturbed half-space and some global in time existence theorems for small solutions to the Navier-Stokes equation.
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. ...