Sentence examples for global continuity from inspiring English sources

This work shows a design procedure which guarantees automatically the global continuity of the law of displacement.

The coupling between surface flow, infiltration and evaporation is achieved by incorporating the infiltration and evaporation fluxes into the global continuity equation of the spilled oil.

Depending on the order of the B-spline basis function used for mapping to others, the global continuity of the resulting surface, including at extraordinary points, can be arbitrary higher order.

From Propositions 3.5, 3.13 and (13) we get global continuity of f.

The only exception here is the result on the global continuity of q*, which seems to depend heavily on the particular characteristics of Mussa and Rosen (1978)'s problem.

By global continuity of f with respect to ( v p ) p, in correspondence with p ∈ N and x ∈ X there is a neighborhood U x of x with ρ ( f ( z ), f ( x ) ) ≤ v p whenever z ∈ U x.

In IGA one can utilize shape functions of global C1 continuity (or of higher continuity) over multi-patch geometries.

Last, we prove the global Hölder continuity of solutions provided that their restrictions on boundary are Hölder continuous.

Most of these models use a standard hypothesis of global Lipschitz continuity and linear growth condition of the drift and diffusion coefficients of the diffusions, as well as the Lipschitz continuity of the interaction function.

As an important application of Theorem 3.4, we investigate the global Hölder continuity of weak solutions of (1.1), which is the main result of the paper.

Due to the global Lipschitz continuity of the coefficients of Eq. (5), one would expect that standard numerical methods such as the Euler Maruyama method are again geometrically ergodic for small enough step-sizes Δt (see [34], Theorem 7.3).