Histotripsy is a technique that uses sound waves to create cavitation microbubbles which
are used in the liquefaction of tumor tissue cells. High-intensity ultrasonic waves perform the …

The nonlinear convective acceleration term in fluids performs a strong obstacle against the
analytical solutions of Navier-Stokes equations up to date. The obtained solutions are valid …

In this paper, the unsteady and nonlinear Navier-Stokes equations in three Cartesian
coordinates are converted to the linear diffusion equations based on the concept of linear …

In this paper, the viscous blood concentration and gas bubbles flow in the peristaltic vertical
inferior mesenteric vein (IMV) are studied. The mass, concentration, and Navier-Stokes …

The nonlinear Navier-Stokes equations are converted to the linear diffusion equations by
Mohammadein (Appl. Math. & Info. Sci. Lett.(2020). The analytical solutions of linear Navier …

On the basis of the physical concept for a linear velocity operator (.), the unstable and
nonlinear Navier-Stokes equations in cartesian coordinates are transformed into the linear …

Although the greatest names in science have been grappling with one of the most complex
problems for the past three centuries, the problem of turbulent viscous fluid flow has not …

The nonlinear partial differential equations face many obstacles due to the nonlinear terms.
The numerical and approximate solutions are only possible to be obtained. Most of the …