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On \(\Gamma \)-convergence in divergence-free fields through Young measures. (English) Zbl 1167.49016

Summary: The explicit characterization of the limit energy density of sequences of general non-periodic functionals defined on divergence-free fields is achieved by means of the div-Young measure associated with relevant sequences of functions through a minimization problem.

MSC:

49J45 Methods involving semicontinuity and convergence; relaxation
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
49J20 Existence theories for optimal control problems involving partial differential equations
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