Sentence examples for satisfy compatibility from inspiring English sources

To avoid inconsistencies in the auxiliary mixed problems (3.1) and (3.9) as well as in (1.3), we have to require that the data and satisfy compatibility conditions: if and are smooth functions up to the boundary, we assume that, for every,.

We assume that the boundary values on the faces have the sixth-order derivatives satisfying the Hölder condition, and the second- and fourth-order derivatives satisfy some compatibility conditions on the edges.

satisfy the compatibility condition (2.24).

where the initial data satisfy certain compatibility conditions as usual and some additional assumptions below, and whenever.

Also the 2τ, (tau=1,2), order derivatives satisfy the compatibility conditions on the vertices which result from the Laplace equation.

Shear forces and in-plane forces in the plate are considered to satisfy the compatibility at the interface of a plate segment and a stiffener.

We propose a reconsideration of ratio scales, showing how they can be obtained when ratio and difference empirical relations are available and when they satisfy proper compatibility conditions.

If a shock layer exists, the end states satisfy the compatibility condition and it propagates at the same speed as the corresponding shock.

Now let us find for what kind of functions h = {h x : x ∈ V} the measures defined by (3.3) would satisfy the compatibility condition (3.6).

where,, is a bounded domain with smooth boundary, is the outward normal vector on the boundary,, and are positive and satisfy the compatibility conditions.

The generalized variational principle used allows for modified stress, strain and displacement fields that satisfy the compatibility requirements in the vicinity of the crack.