Sentence examples for by the source term from inspiring English sources

The equations admit steady state solutions in which the non-zero flux gradient is exactly balanced by the source term.

These equations have still water steady state solutions in which the flux gradients are balanced by the source term.

Hyperbolic balance laws have steady state solutions in which the flux gradients are nonzero but are exactly balanced by the source term.

The Ripa model can maintain steady state solutions in which the flux gradients are non-zero but exactly balanced by the source term.

Shallow water equations with nonflat bottom have steady state solutions in which the flux gradients are nonzero but exactly balanced by the source term.

This section is devoted to studying the effects introduced by the source term (-Phi F) in the asymptotic temporal behavior of the solution u to each Problem P considered in this paper.

The scale for (psi_{s}^) can be chosen either from the initial condition (psi_{s}^(0) = psi_{s0}^=1) or by balancing the source term for the transfer of coffee from the grain surfaces with the other two terms in equation (18).

The stiffness of the equations is mainly caused by the viscous flux terms across the boundary layers and by the source terms modeling finite-rate thermo-chemical processes.

The distributions of reactant and product components, and temperature of methane steam reforming for IP-SOFC were investigated by the developed physical and mathematical model with thermodynamic analysis, in which eleven possible reaction mechanisms were considered by the source terms and Arrhenius relationship.

Here, φ i, i = x, m are the photon densities for the excitation (x) and the emission (m) light in the domain Ω covered by tissue, and the source term q models a collimated light source.

About 80% of error caused by the uncertainty in the source term is reduced, and the value for that caused by uncertainty in the turbulence intensity is about 50%.