Sentence examples for in limiting cases from inspiring English sources

In limiting cases derived equations are reduced to well-known Kadomtsev-Pogutse and Hasegawa-Mima equations.

Problem-solving skills are developed, including verifying that derived results satisfy criteria for correctness, such as dimensional consistency and expected behavior in limiting cases.

Skills developed in verifying that derived results satisfy criteria for correctness, such as dimensional consistency and expected behavior in limiting cases.

The model is tested and its results are found to be consistent with existing solutions in limiting cases.

In limiting cases the enhancement factor reduces to a simple ratio of diffusivities or to a simpler reaction system.

Asymptotic expansions of the effective thermal conductivity in limiting cases of size of inclusions and their thermal conductivity are obtained.

In limiting case we have which is equal to (2.35).

In limiting case when goes to 2s is equal to (2.17).

Also, we show that the results we calculate have a good compatibility with previous work and restore it in limiting case.

This equation is solved analytically in two limiting cases and numerically in the general case.

On the basis of the obtained solutions in two limiting cases the interpolation formulae are derived.