In this paper, we present a novel, closed, three-dimensional random vortex dynamics
system, which is equivalent to the Navier–Stokes equations for incompressible viscous fluid …

This paper presents the Elzaki homotopy perturbation transform scheme (EHPTS) to analyze
the approximate solution of the multi-dimensional fractional diffusion equation. The …

This paper is concerned with the study of local decay rates of the energy associated to a
semilinear wave equation in an inhomogeneous medium with frictional localized damping …

We are concerned with the stabilization of the wave equation with locally distributed mixed-
type damping via arbitrary local viscoelastic and frictional effects. Here, one of the novelties …

This paper is concerned with the mixed initial–boundary value problem for semilinear wave
equations with complementary frictional dampings and memory effects. We successfully …

In this paper we prove the well-posedness to the wave equation of Kirchhoff type. Under a
portion of the boundary, we consider the acoustic boundary conditions. We also prove the …

We are concerned with asymptotic behaviours of solutions for linear wave equations with
frictional damping only on Wentzell boundary, but without any interior damping. Making …

We investigate regularity and stability of wave equations with variable coefficients and the
frictional damping, where the damping effect is only on Wentzell boundary and there is no …

The aims of this paper are to establish theoretical analysis and numerical simulation for a
nonlinear wave equation with mixed boundary conditions of Dirichlet and Acoustic type. The …

The nonequilibrium process in dislocation dynamics and its relaxation to the metastable
transition profile are crucial for understanding the plastic deformation caused by line defects …