The first-order nonlinear partial differential equation of the dislocation density
S. N. Alekseenko1, S. N. Nagornyh2
| Annotation | 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. |
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| Keywords | dislocation density, nonlinear first-order equation, local reducibility, method of additional argument. |
1The professor of the mathematical analysis chair, Nizhniy Novgorod State Pedagogical University, Nizhniy Novgorod; sn-alekseenko@yandex.ru
2The senior lecture of the theoretical physics chair, Nizhniy Novgorod State Pedagogical University, Nizhniy Novgorod; algoritm@sandy.ru
Citation: S. N. Alekseenko, S. N. Nagornyh, "[The first-order nonlinear partial differential equation of the dislocation density]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,12:1 (2010) 41–45 (In Russian)
