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>Nonlocal character of the reduced theory of thin films with higher order perturbations
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Nonlocal character of the reduced theory of thin films with higher order perturbations
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机译:具有高阶扰动的薄膜简化理论的非局部特性
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摘要
In this paper it is shown that, when there is lack of coercivity with respect to some partial derivatives on the underlying field u, then the relaxation of the functionalud$$udu mapsto int_Omega f(u,Du) dxud$$udmay fail to be local. This result is applied to a singular perturbation model for a membrane energy depending on deformations and out-of-plane bending.
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机译:本文表明,当基础场u上的某些偏导数缺乏矫顽力时,函数 ud $$ udu mapsto int_ Omega f(u,Du)的松弛dx ud $$ ud可能不是本地的。将该结果应用于膜能量的奇异摄动模型,该模型取决于变形和平面外弯曲。
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