We investigate the spatial operator in the incompressible Navier–Stokes, Oseen and Stokes
equations and show how to avoid singularities associated with null spaces by choosing …

We consider the steady Navier–Stokes equations with mixed boundary conditions, where a
regularized directional do-nothing (RDDN) condition is defined on the Neumann boundary …

It is an underappreciated fact within the philosophical literature on laws of nature that many
scientific laws require the aid of a supporting cast of additional modelling ingredients (such …

We consider the steady Navier–Stokes equations in a bounded domain Ω⊂ ℝ n, n= 2, 3,
with mixed boundary conditions and a nonhomogeneous forcing term. Instead of the …

The influence of different boundary conditions on the spectral properties of the
incompressible Navier-Stokes equations is investigated. By using the Fourier-Laplace …

In this paper, we propose a new method for calculation of hydraulic resistance of channels
with constant cross-section. The method is based on the obtained estimates for the average …

This work is devoted to the numerical simulation of liquid-vapour flows in nuclear framework.
We investigate a simplified model, named Lmnc (for Low Mach Nuclear Core), describing …