S. N. Alekseenko, S. N. Nagornyh, “The first-order nonlinear partial differential equation of the dislocation density”, Zhurnal SVMO, 2010, Volume 12, Number 1,Pages <nobr>41

In Middle Volga Mathematical Society

The first-order nonlinear partial differential equation of the dislocation density

S. N. Alekseenko, S. N. Nagornyh

Nizhny Novgorod State Pedagogical University

Abstract: Within the framework of the theory of elasticity, the new equation governing a dynamics of the dislocation density is obtained. A basic scheme to apply the method of additional argument for solving this equation is presented.

Keywords: Dislocation density, nonlinear first-order equation, local reducibility, method of additional argument.

UDC: 517.9