We show that the three-dimensional primitive equations admit a strong time-periodic
solution of period $ T> 0$, provided the forcing term $\newcommand {\Ln}{[\vert} …

The 3D-primitive equations with only horizontal viscosity are considered on a cylindrical
domain $\Omega=(-h, h)\times G $, $ G\subset\mathbb {R}^ 2$ smooth, with the physical …

In this paper, we consider a class of impulsive quaternion-valued neural networks with
mixed delays. By using the General Lipschitz condition, the contraction mapping principle …

We consider the Dirichlet boundary value problem for the viscous Burgers' equation with a
time periodic force on a one dimensional finite interval. Under the boundedness assumption …

We consider the 3D or 2D primitive equations for oceans and atmosphere in the isothermal
setting. In this paper, we establish a new conditional uniqueness result for weak solutions to …

The two models we are considering in this work relate to the Navier-Stokes equations, which
describe the motion of a viscous fluid. The first of these two models is the Beris–Edwards …

In this article, we investigate the time periodic solutions for two-dimensional Navier-Stokes
equations with nontrivial time periodic force terms. Under the time periodic assumption of the …

This article is devoted to the study of the asymptotic stability of the three-dimensional viscous
primitive equations for large-scale moist atmosphere in the pressure coordinate system. An …

The paper is concerned with the time-periodic (T-periodic) problem of the fractal Burgers
equation with a T-periodic force on the real line. Based on the Galerkin approximates and …

In this article, a semi-discretized Euler scheme to solve the three dimensional viscous
primitive equations is studied. Based on suitable assumptions on the initial data and forcing …