Solar energy paper index
Explicit formulas of strict BV relaxed energies for polyconvex functionals with linear growth
One-line summary
A solar energy research paper on Explicit formulas of strict BV relaxed energies for polyconvex functionals with linear growth.
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Chinese explanation / 中文解读
中文解读待补充：本站会优先为光伏效率、钙钛矿太阳能电池、储能技术、太阳能热利用、BIPV、并网技术等高价值论文补充中文说明。
Original abstract
We consider polyconvex functionals defined on vector valued functions, the model case being the graph area functional, and we analyze the relaxed energy with respect to the strict convergence in $BV$. In several cases where the relaxed area is known, by exploiting a continuity result by Reshetnyak we are able to find an explicit formula for wide classes of integrands with linear growth in the minors of the gradient. We preliminarily extend to the $BV$ setting a continuity property observed by Acerbi--Dal Maso in the Sobolev case. Finally, partial results concerning the relaxation of the vortex map with respect to the $L^1$ convergence are obtained.
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