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Classification of relaxation processes. Generalized equation yielding new relaxation functions
Journal of Physics and Chemistry of Solids, 2020Abstract Presently the relaxation is mainly an empirical field of science. Despite the availability of microscopic theoretical models, in practice, the relaxation phenomena are generally described by a few empirical relaxation functions. In the present paper, the author generalizes the most known relaxation functions describing the relaxation ...
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New relaxations for composite functions
2019Mixed-integer nonlinear programs are typically solved using branch-and-bound algorithms. A key determinant of the success of such methods is their ability to construct tight and tractable relaxations. The predominant relaxation strategy used by most state-of-the-art solvers is the factorable programming technique.
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The Relaxed Work Functional in Linear Viscoelasticity
Mathematics and Mechanics of Solids, 2004The relaxed work from a history H' to a history H is defined as the minimum work required to approach H via a sequence of continuations of H'. I prove three basic properties of the relaxed work: subadditivity, lower semicontinuity with respect to H for fixed H', and two dissipation inequalities.
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A remark on relaxation of integral functionals
Nonlinear Analysis: Theory, Methods & Applications, 1991The paper under review concerns the calculation of the relaxed functional \(F(u)=\int_ \Omega f(\nabla u)dx\) with \(u\in W^{1,p}(\Omega; \mathbb{R}^ 2)\), \(2\leq ...
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Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1984S. Geman, D. Geman
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Non-symmetrical dielectric relaxation behaviour arising from a simple empirical decay function
, 1970Graham Williams, D. Watts
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Semicontinuity and relaxation of \(L^{\infty }\)-functionals
2009Let \(\Omega \subset \mathbb{R}^N\) be a bounded open set; a functional \(F\) on \(\mathcal A \times W^{1,\infty} (\Omega),\) where \(\mathcal A\) is the class of open subsets of \(\Omega,\) is called a \(L^\infty\)-functional if it may be represented in the so-called supremal form: \[ F(u,A) = \underset {x \in A}{\text{ess\,sup}} f(x,u(x),Du(x ...
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Empirical relaxation function and spectral density for underdamped vibrations at low temperatures.
Journal of Chemical Physics, 2009Mohamad Toutounji
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