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The nonlinear evolution of two fluid interfacial structures like bubbles andspikes arising due to the combined action of Rayleigh-Taylor andKelvin-Helmholtz instability or due to that of Richtmyer-Meshkov andKelvin-Helmholtz instability resulting from oblique shock is investigated.Using Layzer's model analytic expressions for the asymptotic value of thecombined growth rate are obtained in both cases for spikes and bubbles.However, if the overlying fluid is of lower density the interface perturbationbehaves in different ways. Depending on the magnitude of the velocity shearassociated with Kelvin-Helmholtz instability both the bubble and spikeamplitude may simultaneously grow monotonically (instability) or oscillate withtime or it may so happen that while this spike steepens the bubble tends toundulate. In case of an oblique shock which causes combined action ofRichtmyer-Meshkov instability arising due to the normal component of the shockand Kelvin Helmholtz instability through creation of velocity shear at the twofluid interface due to its parallel component, the instability growthrate-instead of behaving as $1/t$ as $t \rightarrow \infty$ for normal shock,tends asymptotically to a spike peak height growth velocity $\sim\sqrt{\frac{5(1+A_{T})}{16(1-A_{T})}(\Delta v)^2}$ where $\Delta v $ is thevelocity shear and $A_T$ is the Atwood number. Implication of such result inconnection with generation of spiky fluid jets in astrophysical context isdiscussed.

Development of nonlinear two fluid interfacial structures by combined  action of Rayleigh-Taylor, Kelvin-Helmholtz and Richtmyer-Meshkov  instabilities:Oblique shock