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A dual variational principle for nonlinear dislocation dynamics

Published 27 Oct 2022 in math.AP, math-ph, and math.MP | (2211.00079v4)

Abstract: A dual variational principle is defined for the nonlinear system of PDE describing the dynamics of dislocations in elastic solids. The dual variational principle accounting for a specified set of initial and boundary conditions for a general class of PDE is also developed.

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