Weak nonlinear effects on interfacial wave formation

Nonlinear Effects on Interfacial Wave Growth into Slug Flow

It is known that when two fluids flow through a horizontal channel, depending on the relative velocity between the two fluids, two different instability mechanisms can create initial wave disturbances on the interface: the classic Kelvin-Helmholtz instability or shear induced instability. These instability mechanisms, which affect the initial growth of the disturbances on the interface, are wel...

On Nonlinear Preservers of Weak Matrix Majorization

Effects of weak disorder on stress-wave anisotropy in centered square nonlinear granular crystals.

The present study describes wave propagation characteristics in a weakly disordered two-dimensional granular media composed of a square array of spheres accommodating interstitial cylindrical intruders. Previous investigations, performed experimentally as well as numerically, emphasized that wave-front shapes in similar systems are tunable via choice of material combinations. Here, we investiga...

Weak asymptotic of shock wave formation process

We construct an asymptotic (in a weak sense) solution corresponding to the shock wave formation in a special situation.

Weak asymptotics of shock wave formation process

We construct an asymptotic (in a weak sense) solution corresponding to the shock wave formation in a special situation.