Statistical study of Navier-Stokes equations, I
C. Foiaş (1972)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
C. Foiaş (1972)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
C. Foias (1973)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Rainer Picard (2008)
Banach Center Publications
Similarity:
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.
R. H. Dyer, D. E. Edmunds (1971)
Colloquium Mathematicae
Similarity:
M. Pulvirenti (2008)
Bollettino dell'Unione Matematica Italiana
Similarity:
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.
Piotr Bogusław Mucha (2008)
Banach Center Publications
Similarity:
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. ...
Michael Wiegner (2003)
Banach Center Publications
Similarity:
Piotr Kacprzyk (2010)
Annales Polonici Mathematici
Similarity:
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.
Marzia Bisi, Laurent Desvillettes (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
We present in this paper the formal passage from a kinetic model to the incompressible Navier−Stokes equations for a mixture of monoatomic gases with different masses. The starting point of this derivation is the collection of coupled Boltzmann equations for the mixture of gases. The diffusion coefficients for the concentrations of the species, as well as the ones appearing in the equations for velocity and temperature, are explicitly computed under the Maxwell molecule assumption in...
Jason S. Howell, Noel J. Walkington (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Similarity:
A mixed finite element method for the Navier–Stokes equations is introduced in which the stress is a primary variable. The variational formulation retains the mathematical structure of the Navier–Stokes equations and the classical theory extends naturally to this setting. Finite element spaces satisfying the associated inf–sup conditions are developed.
Burda, Pavel, Novotný, Jaroslav, Šístek, Jakub
Similarity:
We present analytical solution of the Stokes problem in 2D domains. This is then used to find the asymptotic behavior of the solution in the vicinity of corners, also for Navier-Stokes equations in 2D. We apply this to construct very precise numerical finite element solution.
Chelkak, S., Koshelev, A., Oganesyan, L. (1997)
Memoirs on Differential Equations and Mathematical Physics
Similarity:
Milan Pokorný (2005)
Banach Center Publications
Similarity:
We review several regularity criteria for the Navier-Stokes equations and prove some new ones, containing different components of the velocity gradient.
Yau, Horng-Tzer (1998)
Documenta Mathematica
Similarity:
Crispo, F., Maremonti, P. (2004)
Zapiski Nauchnykh Seminarov POMI
Similarity:
G. Wittum (1989)
Numerische Mathematik
Similarity:
Piotr Kacprzyk (2010)
Applicationes Mathematicae
Similarity:
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.