Monotonicity theorems for two-phase solids
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Certain alloys, such as gold-copper, have two solid phases. We establish a general mathematical framework in which we show that the fraction in one phase and the compositions within each phase are in some sense decreasing in the overall composition. The tools used include useful new lemmas on minima of functions of several variables and parameters.
KeywordsNeural Network Complex System Nonlinear Dynamics Electromagnetism Mathematical Framework
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