Sentence examples for solution of continuity from inspiring English sources

He's surprisingly coy, too, about what to call their genitals, settling usually on "thingummy" or private parts - on one troubling occasion, "that monstrous solution of continuity".

The proposed model is based on the solution of continuity, momentum and mass transfer equations, accounting for the non-newtonian behavior of liquorice solutions.

In addition, in comparing to lipofilling [ 19, 34, 49] where fat cells are laid in rows without solution of continuity, implant survival is likely derive from reduction of fat necrosis due to improved neoangiogenesis in the implanted area.

The solution of the continuity equation is decoupled from the momentum equations by a fractional step method which enforces mass conservation by solving a Poisson equation.

A fluid particle-in-cell (PIC) model is proposed for the numerical solution of the continuity equation of electrons and ions in transient electrical gas discharges.

The SEF distribution at ionospheric altitudes is obtained as an analytical solution of the continuity equation for the electric current density.

The solution of the continuity equation in practical applications is examined, and the values needed for approximate solutions are indicated.

} end{aligned}The main theorem in this setting (originally proven in [3]) relates absolutely continuous curves in (mathbb W_p) with solutions of the continuity equation: Let ((mu _t)_{tin [0,1]}) be an absolutely continuous curve in (mathbb W_p(Omega )) (for (p>1) and (Omega subset mathbb R^d) an open domain).

The main point is to identify the absolutely continuous curves in the space (mathbb W_p(Omega )) with solutions of the continuity equation (partial _tmu _t+nabla cdot (mathbf {v}_tmu _t)=0) with (L^p) vector fields (mathbf {v}_t).

3, as we cannot use the notion of weak solutions of the continuity equation, it will be natural to suppose that this functional (mathcal {E}) is (lambda )-geodesically convex for some (lambda in mathbb R).

The solutions of the continuity and vorticity equations, and the equations governing the transport of species and energy, are obtained using a formulation in which particles transport conserved quantities by convection and diffusion.