Since the early part of the 20th century, it has been understood that the description of nature
at the subatomic scale requires quantum mechanics. In quantum mechanics, the position …

The existence of an attractor for a 2D-Navier–Stokes system with delay is proved. The theory
of pullback attractors is successfully applied to obtain the results since the abstract functional …

Grzegorz Łukaszewicz Piotr Kalita An Introduction with Applications Page 1 Advances in
Mechanics and Mathematics 34 Grzegorz Łukaszewicz Piotr Kalita Navier– Stokes …

This article investigates the three-dimensional globally modified Navier–Stokes equations
with unbounded variable delays. Firstly, we prove the global well-posedness of the …

Some results related to 2D Navier–Stokes equations when the external force contains
hereditary characteristics involving unbounded delays are analyzed. First, the existence and …

We prove the existence of solutions for a Navier–Stokes model in two dimensions with an
external force containing infinite delay effects in the weighted space Cγ (H). Then, under …

In this paper we obtain some results on the existence of solution, and of pullback attractors,
for a 2D Navier-Stokes model with finite delay studied in [4] and [6]. Actually, we prove a …

This paper investigates the dynamics of a class of three-dimensional globally modified
Navier–Stokes equations with double delay in the forcing and convective terms. We first …

The investigation of stability for hereditary systems is often related to the construction of
Lyapunov functionals. The general method of Lyapunov functionals construction which was …

In this paper, we consider the time-fractional Volterra integrodifferential equations with
Caputo derivative. For globally Lispchitz source term, we investigate the global existence for …