Sentence examples for boundary condition involves a from inspiring English sources

In the literature this is usually taken as a prescribed step in stress or velocity, but the correct boundary condition involves a linear combination of the unknown stress and velocity at the impact face.

The Mendousse solution of Burger's equation is generalized to the case when the boundary condition involves a mixture of two sinusoidal inputs, and the form of the old-age wave is extracted.

As mentioned above, the position constraint method based on a boundary condition involves a large number of simultaneous linear equations.

In particular, we consider some linear operators with leading coefficients locally VMO, while the other coefficients and the boundary conditions involve a suitable weight function.

Here the leading coefficients are locally VMO functions, while the hypotheses on the other coefficients and the boundary conditions involve a suitable weight function.

These extensions are given in terms of abstract boundary conditions involving an (in general non-symmetric) boundary operator B. In the abstract part of this paper, sufficient conditions for sectoriality and m-sectoriality as well as sufficient conditions for A[B] to have a non-empty resolvent set are provided in terms of the parameter B and the Weyl function.

The first one is that the boundary condition involves integral from 0 to η i ( i = 1, …, n ), so we transform the integral problem into a single-point problem by using the integral mean value theorem.

No doubt that the robustness of an application tool like DICTRA to simulate moving boundary problems would be enhanced by using a boundary condition involving the mobility of the interface as expressed by Eq. (3), instead of the local equilibrium assumption.

A new approach using the non-dimensional dynamic influence functions has been developed for free vibration analysis of arbitrarily shaped plates with a mixed boundary condition involving both simply supported edges and clamped ones.

Motivated by the above works, we consider in this paper a Caputo fractional differential equation under boundary condition involving the Caputo fractional derivative.

As a result, the temperature sensitivity with respect to any material property or boundary condition involved in the process can be calculated using CTSE.