Sentence examples for the value of the boundary from inspiring English sources

Generally, in the diffusion equation, when all boundary conditions have the same value, all values in the field converge to the value of the boundary conditions, and the field eventually becomes flat.

Subsequently, in [20] a critical case was considered in which also the dependence on the state variable x of the functions a and f and the value of the boundary data are relevant for the solvability of the boundary value problem.

To this aim, in what follows we adopt the notation ((D_{c,d})) to denote the Dirichlet problem ((D)), when we need to emphasize the values of the boundary conditions.

The Weber Morris intraparticle diffusion equation indicated that the plots did not pass through the origin, due to the fact that the values of the boundary film or the thickness of the boundary layer were (c ge) 0 in all cases.

For the problem to be fully specified, we still need to impose the values of the boundary fluxes of actin J (± L 2 ).

We develop a procedure for assessing the environmental value of landscape mosaics that simultaneously considers the values of land use patches and the values of the boundaries between them.

That means the value of the activity outside the boundary is changing rapidly over time.

We estimated the value of the mass-transfer coefficient for the boundary layer adjacent to the various surfaces using correlation equations (Axley 1991).

We require that this be 0 at each of the interior points given the values of the function on the boundary, i.e., 1 on the horizontal boundaries and 0 on the vertical boundaries.

If we prescribe the values of the solution at the boundary ∂ Ω of Ω, then we can solve equation (1) uniquely.

So, when the variable value of the boundary is specified there are Dirichlet conditions: c 4 θ = q (3).