Asymptotic analysis of a system of algebraic equations arising in dislocation theory

The system of algebraic equations given by $\sum_{j=0, j \neq i}^n sgn(x_i - x_j) / |x_i - x_j|^a = 1, i = 1, 2, \ldots n, x_0 = 0,$ appears in dislocation theory in models of dislocation pile-ups. Specifically, the case a = 1 corresponds to the simple situation where n dislocations are piled up a...

وصف كامل

التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Hall, C, Chapman, S, Ockendon, J
التنسيق: Journal article
منشور في: 2010