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 …

This paper is devoted to investigating the well-posedness and asymptotic behavior of a
class of stochastic nonlocal partial differential equations driven by nonlinear noise. First, the …

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

The stochastic convective Brinkman-Forchheimer (SCBF) equations or the tamed Navier-
Stokes equations in bounded or periodic domains are considered in this work. We show the …

This paper is concerned about stochastic convective Brinkman–Forchheimer (SCBF)
equations subjected to multiplicative pure jump noise in bounded or periodic domains. Our …

In this work, we consider the two-dimensional viscoelastic fluid flow equations, arising from
the Oldroyd model for the non-Newtonian fluid flows. We investigate the well-posedness of …

In this article, we study the stability of weak solutions to a stochastic version of a globally
modified coupled Cahn–Hilliard–Navier–Stokes model with multiplicative noise. The model …

We consider 3D stochastic globally modified Navier–Stokes equations in bounded domains
with homogeneous Dirichlet boundary conditions and infinite dimensional Wiener process …

Some results concerning a stochastic 2D Navier–Stokes system when the external forces
contain hereditary characteristics are established. The existence and uniqueness of …

We investigate a stochastic evolution equation for the motion of a second grade fluid filling a
bounded domain of R2. Global existence and uniqueness of strong probabilistic solution is …