In this paper we establish the local exact internal controllability of steady state solutions for the Navier-Stokes equations in three-dimensional bounded domains, with the Navier slip boundary ...
The Rocky Mountain Journal of Mathematics, Vol. 49, No. 5 (2019), pp. 1595-1615 (21 pages) W. Aggoune, H. Zahrouni and M. Potier-Ferry, High-order prediction ...
The axisymmetric Navier-Stokes equations describe the motion of incompressible fluids under the assumption of rotational symmetry around a fixed axis. This reduction in dimensional complexity retains ...
Finite element methods (FEM) have emerged as a pivotal class of numerical techniques for solving the Navierā€“Stokes equations, the mathematical foundation for modelling fluid flow. These methods ...
The famed Navier-Stokes equations can lead to cases where more than one result is possible, but only in an extremely narrow set of situations. For nearly two centuries, all kinds of researchers ...
The Navier-Stokes equations capture in a few succinct terms one of the most ubiquitous features of the physical world: the flow of fluids. The equations, which date to the 1820s, are today used to ...
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