Journal de Mathématiques Pures et Appliquées, 1997 In this paper, we consider some systems which are close to the stationary Navier-Stokes equations. The structure of these systems is the following: An N-dimensional equation for motion, the incompressibility condition and a scalar equation involving an additional unknown, k = k(x).
Climent Ezquerra, María Blanca +1 more
openaire +4 more sources
A note on similarity solutions of navier-stokes equations
, 2010 This note looks at the two similarity solutions of the Navier–Stokes equations in polar coordinates. In the second solution an initial value problem is reduced into generalized stationary KDV and hence ...
Cheng, Yi +7 more
core +1 more source
Self-Similar Solution of Three-Dimensional Stagnation-Point Flow of (Al2O3-Water) NanoFluid on a Stationary Flat Plate [PDF]
Iranian Journal of Chemistry & Chemical EngineeringThis study investigates the general form of a problem of stagnation-point flow of a viscous, nanofluid that impinges along z-direction on a stationary flat plate.
Hamidreza Mozayeni +4 more
doaj +1 more source
Localized method of approximate particular solutions for solving unsteady Navier–Stokes problem
, 2016 The localized method of approximate particular solution (LMAPS) is proposed to solve two-dimensional transient incompressible navier-Stokes systems of equations in primitive variables. The equations contain the Laplacian operator.
Zhang, Xueying +3 more
core +1 more source
Fast iterative solvers for PDE-constrained optimization problems [PDF]
, 2013 In this thesis, we develop preconditioned iterative methods for the solution of matrix systems arising from PDE-constrained optimization problems. In order to do this, we exploit saddle point theory, as this is the form of the matrix systems we wish to ...
Pearson, John W
core +1 more source
Sigma-convergence of stationary Navier-Stokes type equations [PDF]
, 2009 In the framework of homogenization theory, the Sigma-convergence method is carried out on stationary Navier-Stokes type equations on a fixed domain.
Nguetseng, Gabriel, Signing, Lazarus
core +2 more sources
Stationary solutions for the fractional Navier-Stokes-Coriolis system in Fourier-Besov spaces
, 2022 In this work we prove the existence of stationary solutions for the tridimensional fractional Navier-Stokes- Coriolis in critical Fourier-Besov spaces. We first deal with the non-stationary fractional Navier-Stokes-Coriolis and in this framework we get ...
Aurazo-Alvarez, Leithold L.
core
Stability Estimates of Optimal Solutions for the Steady Magnetohydrodynamics-Boussinesq Equations
MathematicsThis paper develops the mathematical apparatus of studying control problems for the stationary model of magnetic hydrodynamics of viscous heat-conducting fluid in the Boussinesq approximation.
Gennadii Alekseev, Yuliya Spivak
doaj +1 more source
On the two-dimensional exterior boundary-value problem for the steady-state Navier-Stokes equations (Mathematical Analysis of Viscous Incompressible Fluid) [PDF]
, 2020 We study the boundary value problem for the stationary Navier-Stokes system in two dimensional exterior domains. In particular, we discuss the history of the problem, its linear analogs (the Stokes paradox and Oseen system), some recent results and open ...
Korobkov, Mikhail V. +2 more
core
East European Journal of Physics, 2016 On the basis of the Navier-Stokes equations in the Boussinesq approximation in the linear approximation the classical problem of Rayleigh, dedicated to the study of stable stationary solutions to the horizontal plane layer of a viscous, incompressible ...
O. L. Andreeva, V. I. Tkachenko
doaj