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Mostrando ítems 11-20 de 27
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Sufficient conditions for regularity and uniqueness of a 3D nematic liquid crystal model
(Wiley, 2009-06)
In [3] L. C. Berselli, On a Regularity Criterion for the Solutions to the 3D Navier-Stokes Equations, Diff. and Integral Eq., Vol. 15, Number 9, 1129-1137 (2002). , L. Berselli showed that the additional regularity hypothesis ...
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Hydrostatic Stokes equations with non-smooth data for mixed boundary conditions
(Elsevier, 2004)
The main subject of this work is to study the concept of very weak solution for the hydrostatic Stokes system with mixed boundary conditions (non-smooth Neumann conditions on the rigid surface and homogeneous Dirichlet ...
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Anisotropic estimates and strong solutions of the primitive equations
(Ohio University Press, 2001-01)
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Asymptotic derivation of a Navier condition for the primitive equations
(IOS Press, 2003-03)
This paper is devoted to the establishment of a friction boundary condition associated with hydrostatic Navier-Stokes equations (also called primitive equations). Usually the Navier boundary condition is used, as a wall ...
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Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics
(Society for Industrial and Applied Mathematics, 2001)
Geophysical fluids all exhibit a common feature: their aspect ratio (depth to horizontal width) is very small. This leads to an asymptotic model widely used in meteorology, oceanography, and limnology, namely the hydrostatic ...
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Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model
(EDP Sciences, 2009)
We analyze two numerical schemes of Euler type in time and C0 finite-element type with P1-approximation in space for solving a phase-field model of a binary alloy with thermal properties. This model is written as a highly ...
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Regularity and time-periodicity for a nematic liquid crystal model
(Elsevier, 2009-07)
In this paper two main results are obtained for a nematic liquid crystal model with timedependent boundary Dirichlet data for the orientation of the crystal molecules. First, the initial-boundary problem is considered, ...
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A corrector for the Sverdrup solution for a domain with islands
(Taylor & Francis, 2004-03)
In this paper we look at the influence of the Coriolis force on the quasi-geostrophic equations on a domain with islands. We prove that asymptotically we obtain the solution of the Sverdrup equation with homogeneous Dirichlet ...
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Local strong solution for the incompressible Korteweg model
(Elsevier, 2006-02)
We consider a Navier-Stokes type system with a Korteweg stress tensor, coupled with a concentration equation without diffusion. We give a result concerning the local in time existence (and uniqueness) of strong solution ...
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On the uniqueness and regularity of the Primitive Equations imposing additional anisotropic regularity
(Elsevier, 2005-07)
In this note, we prove that given u a weak solution of the Primitive Equations, imposing an additional condition on the vertical derivative of the velocity u (concretely ∂zu ∈ L∞(0, T;L2(Ω)) ∩ L2(0, T; H1(Ω))), then two ...