Standard Molodensky is a recognised method of transforming coordinates between geodetic datums. Although less accurate than some other methods, it has the merit being direct. That to say can be applied coordinates, without involving Cartesian that give rise difficulties in computing latitude. This paper considers use when at least one datums 2D+1D nature, meaning horizontal and vertical positio...

The isentropic gas dynamics equations in Eulerian coordinates are expressed by means of the density p and the momentum q = pu, instead of the velocity u, in order to get domains bounded and invariant in the (p. <?)-plane, for a wide class of pressure laws p(p) and in the monodimensional case. A numerical scheme of the transport-projection type is proposed, which builds an approximate solution v...

Early fruit fly embryo development begins with the formation of a chemical blueprint that guides cellular movements and the development of organs and tissues. This blueprint sets the intrinsic spatial coordinates of the embryo. The coordinates are curvilinear from the start, becoming more curvilinear as cells start coherent movements several hours into development. This dynamic aspect of the cu...

Fundamental equations are derived for the mechanics of a fluidfilled porous medium under initial stress. The theory takes into account elastic and viscoelastic properties, including the most general case of anisotropy. It includes the theory of stability, and of acoustic propagation under initial stress, and by thermodynamic analogy the dynamics of a thermoelastic continuum under initial stress...