Integral Methods in Science and Engineering, Volume 1
Analytic Methods
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Article
Increasing the replicability for linear models via adaptive significance levels
We put forward an adaptive \(\alpha \) α (type I error) that decreases as t...
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Article
Homogenization of Winkler–Steklov spectral conditions in three-dimensional linear elasticity
We consider a homogenization Winkler–Steklov spectral problem that consists of the elasticity equations for a three-dimensional homogeneous anisotropic elastic body which has a plane part of the surface subjec...
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Article
Homogenization of a variational inequality for the p-Laplacian in perforated media with nonlinear restrictions for the flux on the boundary of isoperimetric perforations: p equal to the dimension of the space
We address the homogenization of a variational inequality posed in perforated media issue from a unilateral problem for the p-Laplacian. We consider the n-Laplace operator in a perforated domain of ℝ ...
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Article
Homogenization for the p-Laplace operator in perforated media with nonlinear restrictions on the boundary of the perforations: A critical Case
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Chapter and Conference Paper
Correcting Terms for Perforated Media by Thin Tubes with Nonlinear Flux and Large Adsorption Parameters
We obtain corrector terms for homogenization problems in perforated media. The perforations are thin cylindrical tubes, periodically distributed over a fixed domain of the three dimensional space. The operator...
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Article
Homogenization problem in a domain perforated by tiny isoperimetric holes with nonlinear Robin type boundary conditions
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Article
Homogenization problem in domain perforated by thin tubes with nonlinear robin type boundary condition
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Chapter
Spectral Boundary Homogenization Problems in Perforated Domains with Robin Boundary Conditions and Large Parameters
In this chapter we address asymptotics for spectral problems posed in periodically perforated domains along a plane. The operator under consideration is the Laplacian, and the spectral problem is posed in a th...
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Article
Boundary homogenization of a variational inequality with nonlinear restrictions for the flux on small regions lying on a part of the boundary
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Article
Averaging of boundary-value problem in domain perforated along (n − 1)-dimensional manifold with nonlinear third type boundary conditions on the boundary of cavities
The research considers the asymptotic behavior of solutions u ɛ of the Poisson equation in a domain ɛ-periodically perforated along manifold γ = ω ∩ {x 1 = 0} ≠ Ø w...
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Book
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Book
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Chapter
High-Frequency Vibrations of Systems with Concentrated Masses Along Planes
Let Ω be an open bounded domain of ℝ3 with a smooth boundary \(\partial\Omega\) . Weassume that Ω is divided into two parts Ω+ and Ω- by the plane ...
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Chapter
On Different Quasimodes for the Homogenization of Steklov-Type Eigenvalue Problems
Roughly speaking, a quasimode for an operator with a discrete spectrum on a Hilbert space can be defined as a pair ( \(\tilde{w}, \mu\) ), where ...
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Article
Formal asymptotics of eigenmodes for oscillating elastic spatial bodies with concentrated masses
Limit spectral problems are derived for the problem on oscillations of a solid with small heavy (or light) inclusions. The asymptotic ansatzs for eigenvalues and eigenvectors, as well as the limit problems, ar...
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Article
Excess Molar Volumes of (Methyl Ethanoate + 1-Chlorooctane + an n-Alkane) Ternary Mixtures and Their Constituent Binaries at 25°C
Excess molar volumes, at the temperature 25°C and atmospheric pressure over the whole composition range, are reported for the following binary mixtures: methyl ethanoate + (n-octane, n-decane); methyl ethanoat...
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Article
Coronal line-width variations
Line-width measurements of the coronal ion Siviii confirm earlier observations which show an increase in the non-thermal velocity above the solar limb. The present data, taken at the equatorial limb, show an i...
