A direct boundary integral method for a mobility problem.
Kohr, Mirela (2000)
Georgian Mathematical Journal
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Displaying similar documents to “Biorthogonality condition for creeping motion in annular trenches.”
A direct boundary integral method for a mobility problem.
Some remarks to the compactness of steady compressible isentropic Navier-Stokes equations via the decomposition method
Antonín Novotný (1996)
Commentationes Mathematicae Universitatis Carolinae
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In [18]–[19], P.L. Lions studied (among others) the compactness and regularity of weak solutions to steady compressible Navier-Stokes equations in the isentropic regime with arbitrary large external data, in particular, in bounded domains. Here we investigate the same problem, combining his ideas with the method of decomposition proposed by Padula and myself in [29]. We find the compactness of the incompressible part of the velocity field and we give a new proof of the compactness...
On compactness of solutions to the compressible isentropic Navier-Stokes equations when the density is not square integrable
Eduard Feireisl (2001)
Commentationes Mathematicae Universitatis Carolinae
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We show compactness of bounded sets of weak solutions to the isentropic compressible Navier-Stokes equations in three space dimensions under the hypothesis that the adiabatic constant .
Existence, uniqueness and statistical theory of turbulent solutions of the stochastic Navier-Stokes equation, in three dimensions -- an overview.
Birnir, Björn (2010)
Banach Journal of Mathematical Analysis [electronic only]
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On the stationary motion of a Stokes fluid in a thick elastic tube: a 3D/3D interaction problem.
Surulescu, C. (2006)
Acta Mathematica Universitatis Comenianae. New Series
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Some application of the implicit function theorem to the stationary Navier-Stokes equations
Konstanty Holly (1991)
Annales Polonici Mathematici
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We prove that - in the case of typical external forces - the set of stationary solutions of the Navier-Stokes equations is the limit of the (full) sequence of sets of solutions of the appropriate Galerkin equations, in the sense of the Hausdorff metric (for every inner approximation of the space of velocities). Then the uniqueness of the N-S equations is equivalent to the uniqueness of almost every of these Galerkin equations.
A new regularity criterion for the Navier-Stokes equations.
Yue, Hu, Li, Wu-Ming (2011)
The Journal of Nonlinear Sciences and its Applications
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Convergence of the rotating fluids system in a domain with rough boundaries
David Gérard-Varet (2003)
Journées équations aux dérivées partielles
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We consider a rotating fluid in a domain with rough horizontal boundaries. The Rossby number, kinematic viscosity and roughness are supposed of characteristic size . We prove a convergence theorem on solutions of Navier-Stokes Coriolis equations, as goes to zero, in the well prepared case. We show in particular that the limit system is a two-dimensional Euler equation with a nonlinear damping term due to boundary layers. We thus generalize the results obtained on flat boundaries with...