Dimensional reduction for supremal functionals
Copyright policy )Dimensional reduction for supremal functionals
A 3D-2D dimensional reduction analysis for supremal functionals is performed in the realm of $\Gamma^*$-convergence. We show that the limit functional still admits a supremal representation, and we provide a precise identification of its density in some particular cases. Our results rely on an abstract representation theorem for the $\Gamma^*$-limit of a family of supremal functionals.
- Università degli studi di Salerno Italy
- Sapienza University of Rome Italy
- University of Paris France
- UNIVERSITE PARIS DESCARTES France
- Sorbonne Paris Cité France
Supremal functionals; level convexity; -convergence; dimension reduction; homogenization., Supremal functionals, level convexity, -convergence, dimension reduction, homogenization., [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Dimensional reduction; supremal functionals; homogenization; Gamma-convergence
Supremal functionals; level convexity; -convergence; dimension reduction; homogenization., Supremal functionals, level convexity, -convergence, dimension reduction, homogenization., [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], Dimensional reduction; supremal functionals; homogenization; Gamma-convergence
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