We consider a scaling limit of a nonlinear Schrödinger equation (NLS) with a nonlocal nonlinearity showing that it reproduces in the limit of cutoff removal a NLS equation with nonlinearity concentrated at a point.
Incorporating homogenization theory into the classical kinematic theorem of limit analysis, a nonlinear microstructure approach is developed to directly solve the plastic limit status of a heterogeneous or composite material with cohesive-frictional constituents.
Stability boundary (linearly) obtained on a Npch - Nsub plane predicts the existence of limit cycles (a nonlinear phenomenon) for these loops and gives motivation for the further study on the detection of nonlinear phenomena.
The limit dynamics is a nonlinear version of point interaction in dimension three and it has been previously studied in several papers as regards the well-posedness, blow-up and asymptotic properties of solutions.
The dynamics and operability limits of a nonlinear-proportional-integral controller designed to stabilize detached vertical Bridgman crystal growth are studied.
The standing pipe involves elastic support and motion-limiting constraints, producing a nonlinear force on the pipe as the motion becomes large.
By formulating the cost due to interrupted KVA-hour, initial interruption cost, and modification cost in terms of component reliability indices, an optimization problem is derived while simultaneously considering multiple load points and feeder capacity limits, resulting in a nonlinear programming problem.
We identify the limit equation which is a nonlinear diffusion equation.
Representative individual failure modes are identified on the limit state surface using a nonlinear structural analysis program.
For a nonlinear limit state function, the first-order reliability method (FORM) may cause large errors in the computation of not only the reliability index or failure probability but also the reliability sensitivity.
