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This work is concerned with the reformulation of evolutionary problems in a weak form enabling consideration of solutions that may exhibit evolving microstructures. This reformulation is accomplished by expressing the evolutionary problem in variational form, i.e., by identifying a functional whose minimizers represent entire trajectories of the system. The particular class of functionals under consideration is derived by first defining a sequence of time-discretized minimum problems and subsequently...
This work is concerned with the reformulation of evolutionary problems in a
weak form enabling consideration of solutions that may exhibit
. This reformulation is accomplished by
expressing the evolutionary problem in variational form, , by
identifying a functional whose minimizers represent of the system. The particular class of functionals under
consideration is derived by first defining a sequence of time-discretized
minimum problems and subsequently formally passing to the limit of
...
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