Sentence examples for order evolution from inspiring English sources

We consider an abstract second order evolution equation with damping.

Different sequences of the order evolution have been observed in the two sets of samples.

Of concern are the initial-boundary value problems for nonautonomous semilinear second order evolution equations with generalized Wentzell boundary conditions.

Phase-field models with conserved phase-field variables result in a 4th order evolution partial differential equation (PDE).

Assuming the approximate zeroth order evolution rule, the corrections to the quantum propagator are defined in terms of the total Hamiltonian and the zeroth order propagator.

In such types of transformation, the process of order evolution involves a number of nucleation and growth processes, which are often competitive in nature.

We derive a hierarchy of PDEs for the leading-order evolution of wall-based quantities, such as the skin-friction and the wall-pressure gradient, in two-dimensional fluid flows.

As a preliminary step, the existence, uniqueness and continuous dependence upon data of anti-periodic solutions to some first- and second-order evolution equations associated to odd, noncoercive monotone operators is established.

Conversely, on buttressed flanks (SW and NE) a more ordered evolution of processes and deposits making up the apron is observed, giving rise to a less complex apron architecture.

This phenomenon has been observed for partially damped second-order evolution equations.

We also refer the reader to the works of Papageorgiou-Shahzad [29] for the first-order evolution inclusion and Papageorgiou-Yannakakis [30] for the second-order evolution inclusion where the structure of solution sets was discussed.