William A. Fowler

R. S. Fowler

The Generalized Emden-Fowler Equation

We give the description of nonlinear nonautonomous ordinary differential equations of order n with a so-called reducible linear part. The group classification of generalized Emden-Fowler equations of the mentioned class is done. We have found such laws of the variation of f(x) that the equation admits one, two, or tree one-parameter Lie groups.

A . Herbut and William

phy's finding of 1914 (18), she inoculated irradiat ed rats and mice subcutaneously with minced cell suspensions of human tumors and obtained active growth for two generations or more in 83 out of 100 tumors transplanted. In 1958 she recorded 90 per cent of 101 human tumors surviving and pro liferating for 1@—@0 days in irradiated and/or cor tisone-treated rats inoculated subcutaneously and i...

Splitting methods for the nonlocal Fowler equation

We consider a nonlocal scalar conservation law proposed by Andrew C. Fowler to describe the dynamics of dunes, and we develop a numerical procedure based on splitting methods to approximate its solutions. We begin by proving the convergence of the well-known Lie formula, which is an approximation of the exact solution of order one in time. We next use the split-step Fourier method to approximat...

Fowler - Nordheim Plot Analysis : a Progress Report Richard

The commonest method of characterizing a cold field electron emitter is to measure its current-voltage characteristics, and the commonest method of analysing these characteristics is by means of a Fowler-Nordheim (FN) plot. This tutorial/review-type paper outlines a more systematic method of setting out the Fowler-Nordheim-type theory of cold field electron emission, and brings together and sum...