Navier-Stokes Three Dimensional Equations Solutions Volume Three
نویسندگان
چکیده
منابع مشابه
Solutions to Three-dimensional Navier-stokes Equations for Incompressible Fluids
This article gives explicit solutions to the space-periodic NavierStokes problem with non-periodic pressure. These type of solutions are not unique and by using such solutions one can construct a periodic, smooth, divergence-free initial vector field allowing a space-periodic and time-bounded external force such that there exists a smooth solution to the 3-dimensional Navier-Stokes equations fo...
متن کاملApproximate controllability of three-dimensional Navier–Stokes equations
The paper is devoted to studying the problem of controllability for 3D Navier–Stokes equations in a bounded domain. We develop the method introduced by Agrachev and Sarychev in the 2D case and establish a sufficient condition under which the problem in question is approximately controllable by a finite-dimensional force. In the particular case of a torus, it is shown that our sufficient conditi...
متن کاملExact controllability in projections for three-dimensional Navier–Stokes equations
The paper is devoted to studying controllability properties for 3D Navier–Stokes equations in a bounded domain. We establish a sufficient condition under which the problem in question is exactly controllable in any finite-dimensional projection. Our sufficient condition is verified for any torus in R. The proofs are based on a development of a general approach introduced by Agrachev and Saryche...
متن کاملA Stabilized Low Order Finite-Volume Method for the Three-Dimensional Stationary Navier-Stokes Equations
This paper proposes and analyzes a stabilized finite-volume method FVM for the threedimensional stationary Navier-Stokes equations approximated by the lowest order finite element pairs. The method studies the new stabilized FVM with the relationship between the stabilized FEM FEM and the stabilized FVM under the assumption of the uniqueness condition. The results have three prominent features i...
متن کاملA Hierarchy of Length Scales for Weak Solutions of the Three-dimensional Navier-stokes Equations
Abstract. Moments of the vorticity are used to define and estimate a hierarchy of time-averaged inverse length scales for weak solutions of the three-dimensional, incompressible Navier-Stokes equations on a periodic box. The estimate for the smallest of these inverse scales coincides with the inverse Kolmogorov length, but thereafter the exponents of the Reynolds number rise rapidly for corresp...
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ژورنال
عنوان ژورنال: Journal of Mathematics Research
سال: 2018
ISSN: 1916-9809,1916-9795
DOI: 10.5539/jmr.v10n4p128