recently, two of the authors have introduced the collapse capacity spectrummethodology, which allows the assessment of the collapse capacity of highly inelastic p-deltasensitive regular frame structures without performing non-linear time-history analyses. the mainingredient of this method is the collapse capacity spectrum, which represents the seismic collapsecapacity of an inelastic non-deteri...

in this work, we analyse a pair of two-dimensional coupled reaction-diusion equations known as the gray-scott model, in which spot patterns have been observed. we focus on stationary patterns, and begin by deriving the asymptotic scaling of the parameters and variables necessary for the analysis of these patterns. a complete bifurcation study of these solutions is presented. the main mathematic...

in this study a nonlinear asymmetric instability analysis carried out to study primary atomization of annular liquid sheets emanating from the prefilming airblast atomizer using a perturbation method and potential flow assumption. in this direction, firstly governing equations derived according to potential flow assumption and conservation equations while dynamic and static boundary condition a...

in this article, vibration analysis of an euler-bernoulli beam resting on a pasternak-type foundation is studied. the governing equation is solved by using a spectral finite element model (sfem). the solution involves calculating wave and time responses of the beam. the fast fourier transform function is used for temporal discretization of the governing partial differential equation into a set ...

1. introduction increasing of extreme events such as flood, hailstorm, drought, thermal waves, dust storm and other dangerous climatological events, especially in local scale, could be the result of the climatic change over the globe. the characteristics and impacts of severe weather are function of place and time of occurrence. severe weathers are usually accompanied by strong winds and heavy ...

asymptotically exact and nonlocal third order nonlinear evolution equations are derivedfor two counterpropagating surface capillary gravity wave packets in deep water in thepresence of wind flowing over water.from these evolution equations stability analysis ismade for a uniform standing surface capillary gravity wave trains for longitudinal perturbation. instability condition is obtained and g...