Sentence examples for regular solutions from inspiring English sources

Regular solutions and athermal solutions represent limiting cases; real solutions are neither regular nor athermal.

Solutions for which structural considerations are dominant are called athermal solutions, and those for which the effects of intermolecular forces are more important than those of structure are called regular solutions (see below Regular and athermal solutions).

For real solutions it has been proposed to calculate GE by combining the equations derived separately for regular solutions and for athermal solutions, but, in view of the restrictive and mutually inconsistent assumptions that were made in deriving these two equations, the proposal has met with only limited success.

Such open loop inputs cause the system to have fairly regular solutions.

The next result describes the precise blow-up scenario for sufficiently regular solutions to system (1.2).

These studies are aimed at regular solutions of partial differential equations.

In Section 2, the main results about the existence, regularity and dynamical behaviors of global piecewise regular solution for compressible Navier-Stokes equations are stated.

In the general case, neither HE nor SE is zero, but two types of semi-ideal solutions can be designated: in the first, SE is zero but HE is not; this is called a regular solution.

Uniqueness is proved for a regular solution.

The regular solution and satisfies (2.1) in.

The thermodynamic model of Compressible Regular Solution was used.