Multidimensional gravity interacting with intersecting electric and magnetic p -branes is considered for fields depending on a single variable. Some general features of the system behaviour are revealed without solving the field equations. Thus, essential asymptotic properties of isotropic cosmologies are indicated for different signs of spatial curvature; a no-hair-type theorem and a single-ti...

The modes delivered by proper orthogonal decomposition (POD) are uncorrelated as per definition; but interestingly, they not necessarily independent in terms of spatio-temporal flow-pattern dynamics. For instance, periodic structures that travel waves through a series snapshots often consist pairs with harmonic functions shifted 90 degree phase and/or spatial offset quarter the wave length conv...

in this paper, reduced order proper orthogonal decomposition method has been used for simulation of unsteady incompressible flow fields. after projection of the governing equations along pod modes, a low-dimensional dynamical system is achieved. normally, standard low-dimensional models, due to some reasons, do not predict time variations of flow field accurately. accuracy of dynamical system h...