Wave instability on the interface coating/substrate material under heterogeneous plasma flows

On estimates for short wave stability and long wave instability in 3-layer Hele-Shaw flows

We consider linear stability of three-layer Hele-Shaw flows with each layer having constant viscosity and viscosity increasing in the direction of a basic uniform flow. While the upper bound results on the growth rate of long waves are well known from our earlier works, lower bound results on the growth rate of short stable waves are not known to-date. In this paper we obtain such a lower bound...

Shoreline instability under low - angle wave incidence

11 The growth of megacusps as shoreline instabilities is investigated by ex-12 amining the coupling between wave transformation in the shoaling zone, long-13 shore transport in the surf zone, cross-shore transport, and morphological 14 evolution. This coupling is known to drive a potential positive feedback in 15 case of very oblique wave incidence, leading to an unstable shoreline and the 16 c...

Long-Wave Instability in Marginally Stable Shear Flows

The reductive perturbation theories used by physicists typically fall into two classes: adiabatic elimination of strongly damped variables in dissipative systems, or averaging over fast oscillations in finite dimensional Hamiltonian systems. Our interest here is a third class which in a peculiar way combines aspects of both methods; this is the development of reduced descriptions for instabilit...

Three dimensional sharp interface Eulerian computations of multi-material flows

Influence of the Imperfect Interface on Love-Type Mechanical Wave in a FGPM Layer

In this study, we consider the propagation of the Love-type wave in piezoelectric gradient covering layer on an elastic half-space having an imperfect interface between them. Dispersion relation has been obtained in the form of determinant for both electrically open and short cases. The effects of different material gradient coefficients of functionally graded piezoelectric material (FGPM) and ...