Global solutions to the Navier–Stokes system with non-decaying forces in Besov spaces
Advances in Nonlinear AnalysisThe non-stationary Navier–Stokes system in the whole space Rn ${\mathbb{R}}^{n}$ (n ≥ 2) is considered. Our first result provides the unique existence theorem of global strong solutions for small initial data and external forces in the scaling invariant
Takeuchi Taiki
doaj +1 more source
Stochastic Navier-Stokes Equations on a Thin Spherical Domain. [PDF]
Appl Math Optim, 2021 Brzeźniak Z, Dhariwal G, Le Gia QT.
europepmc +1 more source
On the dynamic programming approach for the 3D Navier-Stokes equations *
, 2020 The dynamic programming approach for the control of a 3D flow governed by the stochastic Navier-Stokes equations for incompressible fluid in a bounded domain is studied. By a compactness argument, existence of solutions for the associated Hamilton-Jacobi-
Luigi Manca
core
THE NUMERICAL SOLUTION OF FREE CONVECTION FLOW OF VISCOELASTIC FLUID PAST OVER A SPHERE [PDF]
, 2015 Free convection flow is heat transfer on fluid caused by buoyancy forces because of density difference. We further use The boundary layer theory to obtain governing equations.
Wayan Rumite, . +2 more
core
An Energy Stable Monolithic Eulerian Fluid-Structure Finite Element Method
, 2017 International audienceWhen written in an Eulerian frame, the conservation laws of continuum mechanic are similar for fluids and solids leading to a single set of variables for a monolithic formulation; the only difference is in the expression of the ...
Pironneau, Olivier, Hecht, Frédéric
core +1 more source
PSEUDOSPECTRAL SOLUTION OF THE TWO-DIMENSIONAL NAVIER{STOKES EQUATIONS IN A DISK [PDF]
, 1999 AMS subject classifcations. 76D05, 35Q30, 65M70, 65N35 PII. S1064827597330157An efficient and accurate algorithm for solving the two-dimensional (2D) incompressible Navier-Stokes equations on a disk with no-slip boundary conditions is described.
Torres, David J., Coutsias, Evangelos A.
core
Experiences With Negative Norm Least-Squares Methods For The Navier-Stokes Equations
, 1997 . This paper is concerned with the implementation and numerical study of a discrete negative norm least-squares method for the Navier-Stokes equations proposed in [2] and [3].
P. Bochev
core
Linear oscillations of axisymmetric viscous liquid bridges [PDF]
, 2020 . Small amplitude free oscillations of axisymmetric capillary bridges are considered for varying valúes of the capillary Reynolds number C~1 and the slenderness of the bridge A.
José M Vega, José A Nicolás
core
Stabilizability of two-dimensional Navier–Stokes equations with help of a boundary feedback control,
, 2001 . For 2D Navier-Stokes equations defined in a bounded domain Ω we study stabilization of solution near a given steady-state flowv(x) by means of feedback control defined on a part Γ of boundary ∂Ω.
A V Fursikov
core
Linear and Non-linear Iterative Methods for the Incompressible Navier-Stokes Equations
, 1993 In this study, the discretized finite volume form of the two dimensional, incompressible Navier Stokes equations is solved using both a frozen coefficient and a full Newton nonlinear iteration. The optimal method is a combination of these two techniques.
Simon S. Clift, Peter A. Forsyth
core