Results 101 to 110 of about 132 (125)

On the finite element approximation of the nonstationary Navier-Stokes problem

1980
In 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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Estimates of solutions of an initial- and boundary-value problem for the linear nonstationary Navier-Stokes system

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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Stability, Regularity and Numerical Analysis of the Nonstationary Navier-Stokes Problem

1983
Publisher 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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Solvability of the general boundary-value problem for the linearized nonstationary system of Navier-Stokes equations

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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Estimates of solutions of a general initial-boundary-value problem for the linear nonstationary system of Navier-Stokes equations in a half-space

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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The existence and uniqueness of the generalized solution of the inverse problem for the nonlinear nonstationary Navier-Stokes system in the case of integral overdetermination

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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Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual–porosity–Navier–Stokes model

Applied Numerical Mathematics, 2021
Jian Li, Yinnian He, Lüling Cao
exaly  

Mathematical Review: MR1256605 Vasin, I. A. On the existence and uniqueness of the generalized solution of an inverse problem for a nonlinear nonstationary Navier-Stokes system in the case of integral overdetermination. (Russian) Mat. Zametki 54 (1993), no. 4, 34--44, 158; translation in Math. Notes 54 (1993), no. 3-4, 1002–1009 (1994)

1995
The inverse problem (IP) consists of simultaneously determining {V,f} from knowledge of an initial and a homogeneous boundary condition for V and an integral condition.
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Solution “in the large” of the nonstationary boundary value problem for the Navier‐Stokes system with two space variables

Communications on Pure and Applied Mathematics, 1959
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Mixed Finite Element Formulation and Error Estimates Based on Proper Orthogonal Decomposition for the Nonstationary Navier–Stokes Equations

SIAM Journal on Numerical Analysis, 2009
Zhendong Luo, Navon Im, Xiaozhong Yang   +2 more
exaly