On The Boundary Problem For The Non-Linear Navier-Stokes Equations On A Riemannian Manifold
Milan Đ. Đurić (1966)
Publications de l'Institut Mathématique
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Displaying similar documents to “Estimates up to the boundary of a weak solution to the Navier-Stokes equation in a cube in dependence on eigenvalues of the rate of deformation tensor”
On The Boundary Problem For The Non-Linear Navier-Stokes Equations On A Riemannian Manifold
Microlocal Approach to Tensor Tomography and Boundary and Lens Rigidity
Stefanov, Plamen (2008)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 53C24, 53C65, 53C21. This is a survey of the recent results by the author and Gunther Uhlmann on the boundary rigidity problem and on the associated tensor tomography problem. Author partly supported by NSF Grant DMS-0400869.
Some Remarks on the Boundary Conditions in the Theory of Navier-Stokes Equations
Chérif Amrouche, Patrick Penel, Nour Seloula (2013)
Annales mathématiques Blaise Pascal
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This article addresses some theoretical questions related to the choice of boundary conditions, which are essential for modelling and numerical computing in mathematical fluids mechanics. Unlike the standard choice of the well known non slip boundary conditions, we emphasize three selected sets of slip conditions, and particularly stress on the interaction between the appropriate functional setting and the status of these conditions.
Boundary partial regularity for the Navier-Stokes equations.
Seregin, G.A., Shilkin, T.N., Solonnikov, V.N. (2004)
Journal of Mathematical Sciences (New York)
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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.
On a steady flow in a three-dimensional infinite pipe
Paweł Konieczny (2006)
Colloquium Mathematicae
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The paper examines the steady Navier-Stokes equations in a three-dimensional infinite pipe with mixed boundary conditions (Dirichlet and slip boundary conditions). The velocity of the fluid is assumed to be constant at infinity. The main results show the existence of weak solutions with no restriction on smallness of the flux vector and boundary conditions.
Some properties of fundamental bipoint tensor
N. Bokan (1971)
Matematički Vesnik
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Global weak solutions of the Navier-Stokes equations with nonhomogeneous boundary data and divergence
R. Farwig, H. Kozono, H. Sohr (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Weak solutions to the Navier-Stokes equations in a Y-shaped domain
Joanna Rencławowicz, Wojciech M. Zajączkowski (2006)
Applicationes Mathematicae
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We prove the existence of weak solutions to the Navier-Stokes equations describing the motion of a fluid in a Y-shaped domain.
The Eulerian limit and the slip boundary conditions-admissible irregularity of the boundary
Piotr Bogusław Mucha (2005)
Banach Center Publications
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We investigate the inviscid limit for the stationary Navier-Stokes equations in a two dimensional bounded domain with slip boundary conditions admitting nontrivial inflow across the boundary. We analyze admissible regularity of the boundary necessary to obtain convergence to a solution of the Euler system. The main result says that the boundary of the domain must be at least C²-piecewise smooth with possible interior angles between regular components less than π.
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.
A paradox in the theory of linear elasticity
Jindřich Nečas, Miloš Štípl (1976)
Aplikace matematiky
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Let us have the system of partial differential equations of the linear elasticity. We show that the solution of this system with a bounded boundary condition is not generally bounded (i.e., the displacement vector is not bounded). This example is a modification of that given by E. De Giorgi [1].