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 …

In this article, we first prove some sufficient conditions guaranteeing the existence of
invariant sample measures for random dynamical systems via the approach of global …

In this article, the authors investigate the system of Schrödinger and Klein-Gordon equations
with Yukawa coupling. They first prove the existence of pullback attractor and construct a …

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

In this article, we first prove, from the viewpoint of infinite dynamical system, sufficient
conditions ensuring the existence of trajectory statistical solutions for autonomous evolution …

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

We first prove the existence and regularity of the trajectory attractor for a three-dimensional
system of globally modified Navier–Stokes equations. Then we use the natural translation …

In this article, we first verify the global well-posedness of the second order lattice systems
with varying coefficients. Then we prove that the solution mappings form a continuous …

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∈ …

In this article, the authors investigate the non-autonomous magneto-micropolar fluids in a
two-dimensional bounded domain. They first prove the existence of a pullback attractor for …