Sentence examples for be reduced to partial from inspiring English sources

As is well known, many free boundary problems and obstacle problems may be reduced to partial differential equations with discontinuous nonlinearities.

Since many free boundary problems and obstacle problems may be reduced to partial differential equations with discontinuous nonlinearities, the existence of multiple solutions for Dirichlet boundary value problems with discontinuous nonlinearities has been widely investigated in recent years.

The Cole Hopf transformation is a mathematical technique, through which a nonlinear partial differential equation may be reduced to linear partial differential equation.

Boundary value problems involving partial differential equations with discontinuous nonlinearities which may be reduced to boundary value problems for partial differential inclusions were studied by Carl-Heikkilä [8, 9] and Chang [10, 11] (we refer the reader also to the work of Marano [12, 13]).

The energy-balance equation can be reduced to a first-order, partial-differential equation (PDE): frac{partial T}{partial t} - frac{B}{Ar}frac{partial T}{partial r} - frac{C}{{Ar^{2} }} = - frac{D}{A}T + frac{E}{A} (3).

The power consumption of the developed system was reduced from 100%to25%5% when the full load was reduced to a partial load of 17%, saving more than 75% of the work required using a conventional un-loading method.

The Maugansville Road interchange was originally a full interchange, but was reduced to a partial interchange in 1968.

For each spectral peak, the signal model is reduced to only one partial (L = 1) where the influence of the other partials is neglected (in the general case when L > 1).

This mass transport-limited current [24] evolves into the second wave where H2O2 is reduced to H2O, followed by partial Na+ reduction and reversal of the potential sweep.

The hydrolysis was carried out at 50 °C for 5 days with an initial stirring speed of 1000 rpm (first 16 h), and the stirring speed was reduced to 700 rpm after partial hydrolysis.

Numerical treatment is reduced to the system of two partial differential equations written in characteristic coordinates.