Results 141 to 150 of about 5,941,578 (168)
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Acta Mathematica Scientia, 1993
Abstract This paper deals with maximum norm error estimates of conforming finite element approximate solutions for the stationary and nonstationary Navier-Stokes problems in a plane bounded domain, using the so-called velocity-pressure mixed variational formulation. Quasi-optimal maximum norm error estimates of the velocity and its first derivatives,
Shen, Shumin, Deng, Qingping
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Abstract This paper deals with maximum norm error estimates of conforming finite element approximate solutions for the stationary and nonstationary Navier-Stokes problems in a plane bounded domain, using the so-called velocity-pressure mixed variational formulation. Quasi-optimal maximum norm error estimates of the velocity and its first derivatives,
Shen, Shumin, Deng, Qingping
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Subdifferential boundary value problems for the nonstationary navier-stokes equations
Differential Equations, 2000Let \(V\) and \(H\) be separable Hilbert spaces with dual spaces \(V'\) and \(H'\) such that \(V\) is densely and compactly embedded in \(H\) and \(H'\) is identified with \(H\). The norms of \(V,V'\) and \(H\) are denoted by \(\|\cdot \|, \|\cdot \|_*\) and \(|\cdot|\) respectively, and \((\cdot, \cdot)\) stands for the inner product of \(H\) as well ...
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Mathematische Annalen, 2005
The author examines the nonstationary linearized Navier-Stokes system in a domain with cylindrical outlets to infinity in weighted function spaces with exponential weight functions. It is proved that under natural compatibility conditions on the external force there exists a unique solution with prescribed non-zero fluxes over the sections of outlets ...
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The author examines the nonstationary linearized Navier-Stokes system in a domain with cylindrical outlets to infinity in weighted function spaces with exponential weight functions. It is proved that under natural compatibility conditions on the external force there exists a unique solution with prescribed non-zero fluxes over the sections of outlets ...
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Doklady Mathematics, 2013
It is established below that the existence of a strong solution to the nonlinear Navier–Stokes problem with any initial approximation from the class of strong solu tions is equivalent to the global convergence of the modified iteration sequence to the sought solution in the norm of the class of strong solutions at a conver gence rate higher than a ...
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It is established below that the existence of a strong solution to the nonlinear Navier–Stokes problem with any initial approximation from the class of strong solu tions is equivalent to the global convergence of the modified iteration sequence to the sought solution in the norm of the class of strong solutions at a conver gence rate higher than a ...
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On the finite element approximation of the nonstationary Navier-Stokes problem
1980In this note we report some basic convergence results for the semi-discrete finite element Galerkin approximation of the nonstationary Navier-Stokes problem. Asymptotic error estimates are established for a wide class of so-called conforming and nonconforming elements as described in the literature for modelling incompressible flows.
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Stability, Regularity and Numerical Analysis of the Nonstationary Navier-Stokes Problem
1983Publisher Summary This chapter describes some results relating the stability and regularity of the solutions of the Navier–Stokes equations with the long-term error and the stability of numerical approximations. They are of two general types, both utilizing stability assumptions to extend results that were known locally in time to ones that are ...
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Journal of Soviet Mathematics, 1978
We prove exact estimates in Holder norms of solutions of initial- and boundary-value problems for a Navier-Stokes system with boundary condition , where T is the stress tensor and is the unit vector of the normal to the boundary.
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We prove exact estimates in Holder norms of solutions of initial- and boundary-value problems for a Navier-Stokes system with boundary condition , where T is the stress tensor and is the unit vector of the normal to the boundary.
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Journal of Soviet Mathematics, 1984
Translation from Zap Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 110, 105-119 (Russian) (1981; Zbl 0484.76046).
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Translation from Zap Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 110, 105-119 (Russian) (1981; Zbl 0484.76046).
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Journal of Soviet Mathematics, 1983
In the half-spaceX3>0 one considers the initial-boundary-value problem for the Stokes system in which the boundary conditions are given by means of an arbitrary matricial differential operator of size 3×4. One proves that, under certain restrictions on this operator, the solution satisfies coercive estimates in the norms of Wρ2l,l.
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In the half-spaceX3>0 one considers the initial-boundary-value problem for the Stokes system in which the boundary conditions are given by means of an arbitrary matricial differential operator of size 3×4. One proves that, under certain restrictions on this operator, the solution satisfies coercive estimates in the norms of Wρ2l,l.
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Mathematical Notes, 1993
The Navier-Stokes equations for incompressible fluid flow with inhomogeneous term in the form \(F(x,t) = f(t) g(x,t)\) and the integral overdetermination condition \[ \int_ \Omega V(x,t) \omega (x)dx = \varphi (t) \] are studied in the paper. The functions \(g, \omega, \varphi\) are given.
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The Navier-Stokes equations for incompressible fluid flow with inhomogeneous term in the form \(F(x,t) = f(t) g(x,t)\) and the integral overdetermination condition \[ \int_ \Omega V(x,t) \omega (x)dx = \varphi (t) \] are studied in the paper. The functions \(g, \omega, \varphi\) are given.
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