Publisher Summary The study of the asymptotic behavior of dynamical systems arising from
mechanics and physics is a capital issue because it is essential for practical applications to …

We study pullback attractors of non-autonomous non-compact dynamical systems generated
by differential equations with non-autonomous deterministic as well as stochastic forcing …

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 …

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

This paper is concerned with the long-time dynamics of a fluid-structure interaction problem
describing a Poiseuille inflow through a 2D channel containing a rectangular obstacle …

In this paper the asymptotic behaviour of the solutions to a non-autonomous 2D-Navier–
Stokes model is analyzed when the initial datum belongs to V, for two frameworks: the …

The main aim of this work is to provide some general and unified results on the existence,
regularity and finite fractal dimension estimates of pullback random attractors for a wide …

For an abstract dynamical system, we establish, under minimal assumptions, the existence
of D-attractor, ie a pullback attractor for a given class D of families of time varying subsets of …

In this paper, we study an initial boundary value problem of the Cahn–Hilliard–Darcy system
with a non-autonomous mass source term S that models tumor growth. We first prove the …

Given a non-autonomous process U (·,·) on a complete separable metric space X that has a
pullback attractor A (·), we construct a family of invariant Borel probability measures {µt} t∈ …