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This paper considers an important model of boundary value problem with a condition at infinity namely combined free and forced convection over a plane of arbitrary shape embedded in a fluid-saturated porous medium; this model admits dual solutions, and uses a technique, which is to some extent modification of homotopy analysis method (HAM), in order to obtain dual solutions analytically with hi...

We present a singularity free class of inhomogeneous cylindrical universes filled with stiff perfect fluid (ρ = p). Its matter free (ρ = 0) limit yield two distinct vacuum spacetimes which can be considered as analogues of Kasner solution for inhomogeneous singularity free spacetime.

An analytical approach is presented to assess the response of offshore structures under seismic excitation. This paper evaluates the impacts of different fluid field models and the mass of equipment at the top of offshore structure which is simulated as lumped mass on the responses of offshore structures. To do this, two and three dimensional fluid field models are developed. In three dimension...