نتایج جستجو برای: asymmetrical γ
تعداد نتایج: 83724 فیلتر نتایج به سال:
This paper is devoted to prove new relaxation and Γ-convergence theorems on BV(Ω) for a class of integral functionals, whose integrands have a product type structure, but they do not satisfy any assumptions of coerciveness or continuity with respect to the spatial variable.
A variational model for the epitaxial deposition of a film on a rigid substrate in the presence of a crystallographic misfit is studied. The scaling behavior of the minimal energy in terms of the volume of the film and the amplitude of the misfit is considered, and reduced models in the various regimes are derived by Γ-convergence methods. Depending on the relation between the thickness of the ...
This paper is devoted to prove a continuity theorem for integral functional defined on BV(Ω). This result is applied in order to obtain new relaxation and Γ-convergence theorems on BV(Ω) without any coerciveness and any continuity assumption of the integrand with respect to the spatial variable.
this discrete model can be approximated by a continuous energy defined on special functions with bounded variation. In fact, if we limit the interactions in the sum to the nearest neighbors in the portion of εZ contained in some fixed Ω, and we interpret the values ui as the discretization of a function defined in Ω, then these energies can be studied using the methods of Γ-convergence, and the...
We study the asymptotic behavior of functionals associated to the energy of a thin nonlinear elastic spherical shell in the limit of vanishing thickness (proportional to a small parameter) ε and under the assumption of radial deformations. The functionals are characterized by the presence of a nonlocal potential term and defined on suitable weighted functional spaces. The transition shell-membr...
In this paper, we study the relation between the second inner variations of the Allen-Cahn functional and its Gamma-limit, the area functional. Our result implies that the Allen-Cahn functional only approximates well the area functional up to the first order. However, as an application of our result, we prove, assuming the singlemultiplicity property of the limiting energy, that the Morse indic...
We present the second of two articles on the small volume-fraction limit of a nonlocal Cahn–Hilliard functional introduced to model microphase separation of diblock copolymers. After having established the results for the sharp-interface version of the functional [SIAM J. Math. Anal., 42 (2010), pp. 1334–1370], we consider here the full diffuse-interface functional and address the limit in whic...
Acute exacerbation (AE) of idiopathic pulmonary fibrosis (IPF) results in poor survival. The objective of the present study was to elucidate the impact of asymmetrical ground-glass opacity (GGO) and/or consolidation on outcomes in patients with AE-IPF. The cases of 59 consecutive patients with AE-IPF were retrospectively reviewed. High-resolution computed tomography (HRCT) at diagnosis of an AE...
مگنتیت و مگهمیت به عنوان مواد فرومغناطیس به طور گسترده¬ای در ذخیره داده¬¬های صوتی و تصویری، سرمایش مغناطیسی، فرایندهای زیستی و غیره استفاده می¬شوند. در دو دهه اخیر به دلیل هزینه کم تولید و عدم نیاز به استفاده از فلزات گرانقیمت در آنها، به عنوان جاذب برخی آلاینده¬های زیستی استفاده می¬شوند. نانوذرات fexoy از روش¬های مختلف قابل تهیه می¬باشند ولی روش سنتز سونوشیمیایی مورداستفاده ارزان، ساده و جایگز...
Cochlear implantation in children with an asymmetrical hearing loss is now becoming more recognized as an appropriate and beneficial treatment option. In our programme, we have been implanting children with asymmetrical hearing loss since 2008. Asymmetrical hearing loss is defined as hearing loss when one ear meets criteria for cochlear implantation and the other ear has better hearing and rece...
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