A mixed problem for the stationary Navier-Stokes equations
2009We consider a mixed boundary problem for the Navier–Stokes equations in a bounded Lipschitz two-dimensional domain: we assign a Dirichlet condition on the curve portion of the boundary and a slip zero condition on its straight portion. We prove that the problem has a solution provided the boundary datum and the body force belong to a Lebesgue’s space ...
RUSSO A., STARITA, Giulio
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Fixed point theory in fluid mechanics: an application to the stationary Navier–Stokes problem
Journal of Pseudo-Differential Operators and Applications, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mondher Benjemaa +2 more
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Mixed Boundary Value Problems for the Stationary Navier–Stokes System in Polyhedral Domains
Archive for Rational Mechanics and Analysis, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maz'ya, V., Rossmann, J.
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Superconvergence of a 3D finite element method for stationary Stokes and Navier‐Stokes problems
Numerical Methods for Partial Differential Equations, 2004AbstractFor the Poisson equation on rectangular and brick meshes it is well known that the piecewise linear conforming finite element solution approximates the interpolant to a higher order than the solution itself. In this article, this type of supercloseness property is established for a special interpolant of the Q2 − P element applied to the 3D ...
Matthies, G., Skrzypacz, P., Tobiska, L.
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PENALTY APPROXIMATIONS TO THE STATIONARY POWER-LAW NAVIER–STOKES PROBLEM
Numerical Functional Analysis and Optimization, 2001In this work, penalty approximations to the steady state Navier-Stokes problem governed by the the power-law model for viscous incompressible non-Newtonian flows in bounded convex domains in Rd (2 ≤ d) are studied. Existence and uniqueness of solutions to the penalty approximations are proved, convergence is shown, and rates of convergence are derived.
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Asymptotic behavior and time discretization analysis for the non-stationary Navier-Stokes problem
Numerische Mathematik, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yinnian He, Kaitai Li
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Subdifferential inverse problems for stationary systems of Navier-Stokes type
Journal of Inverse and Ill-Posed Problems, 1995Summary: The article is concerned with theoretical analysis of inverse problems arising in viscous hydrodynamics. We consider a subdifferential condition as an additional information about a flow, making it possible to determine not only the flow field but also the external conditions that set the flow pattern.
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Non‐standard Stokes and Navier–Stokes problems: existence and regularity in stationary case
Mathematical Methods in the Applied Sciences, 2002AbstractThis paper is devoted to Stokes and Navier–Stokes problems with non‐standard boundary conditions: we consider, in particular, the case where the pressure is given on a part of the boundary. These problems were studied by Bégue, Conca, Murat and Pironneau.
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Rate of Convergence to the Stationary Solution of the Navier-Stokes Exterior Problem
2016This paper is concerned with the nonstationary Navier-Stokes equation in two-dimensional exterior domains with stationary external forces, and provides the rate of convergence of solutions to the stationary solution under the smallness condition of the stationary solution.
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