We study gravitationally collapsing models of pressureless dust, fluids with pressure, and the generalized Chaplygin gas (GCG) shell in (2+1)-dimensional spacetimes. Various collapse scenarios are investigated under a variety of the background configurations such as anti-de Sitter(AdS) black hole, de Sitter (dS) space, flat and AdS space with a conical deficit. As with the case of a disk of dus...

Internal shear layers generated by the longitudinal libration of inner core in a spherical shell rotating at rate $\varOmega ^*$ are analysed asymptotically and numerically. The forcing frequency is chosen as $\sqrt {2}\varOmega such that issued from critical latitude form concentrated conical beams draw simple rectangular pattern meridional cross-sections. asymptotic structure internal describ...

The conical-cylindrical shell is prone to stress concentration in the convex cone position under action of deep-sea pressures. This results unidirectional or bidirectional positive tensile stresses on surfaces shell. a large, welded structure. Welding residual was generated at cone-column joint position, resulting high-stress this location. Under both welding and seawater pressure, cracks easil...

A solution to the Einstein field equations that represents a rigidly rotating dust accompanied by a thin matter shell of the same type is found.