ASYMPTOTIC ANALYSIS OF A SYSTEM OF ALGEBRAIC EQUATIONS ARISING IN DISLOCATION THEORY

The system of algebraic equations given by σnj=0, j≠=i sgn(xi-xj )|xi-xj|a = 1, i = 1, 2, ⋯ , n, x0 = 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 against a locked dislocation, w...

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Бібліографічні деталі
Автори: Hall, C, Chapman, S, Ockendon, JR
Формат: Journal article
Мова:English
Опубліковано: 2010