Results 31 to 40 of about 772 (267)
Long Distance Energy Correlations in Random Media [PDF]
, 1983 This thesis considers the long distance motion of waves in a random medium. Using the geometrical optics approximation and a stochastic limit theorem, we find evolution equations for rays and for energy correlations, in two and three dimensions.
Zwillinger, Daniel Ian
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On the asymptotics of solutions of Volterra integral equations
Arkiv för Matematik, 1985 Consider the complex-valued, linear Volterra equation \[ (*)\quad v(t)- \int^{t}_{t_ 0}G(t,\tau)v(\tau)d\tau =v_ 0(t),\quad t\geq t_ 0. \] It is known that the solution of this equation can be expressed in terms of a variation of constants formula \[ v(t)=v_ 0(t)- \int^{t}_{t_ 0}R(t,\tau)v_ 0(\tau)d\tau,\quad t\geq t_ 0, \] where R often is called the ...
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Asymptotic behavior for solutions of some integral equations
Communications on Pure and Applied Analysis, 2011 In this paper we study the asymptotic behavior of the positive solutions of the following system of Euler-Lagrange equations of the Hardy-Littlewood-Sobolev type in $R^n$ $u(x) = \frac{1}{|x|^{\alpha}}\int_{R^n} \frac{v(y)^q}{|y|^{\beta}|x-y|^{\lambda}} dy $, $ v(x) = \frac{1}{|x|^{\beta}}\int_{R^n} \frac{u(y)^p}{|y|^{\alpha}|x-y|^{\lambda}}
Yutian Lei, Chao Ma
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A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
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Asymptotic Solutions of the Phase Space Schrodinger Equation: Anisotropic Gaussian Approximation [PDF]
, 2014 We consider the singular semiclassical initial value problem for the phase space Schrodinger equation. We approximate semiclassical quantum evolution in phase space by analyzing initial states as superpositions of Gaussian wave packets and applying ...
Karageorge, Panos D., Makrakis, G.N.
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Linear Convolution Integral Equations with Asymptotically Almost Periodic Solutions [PDF]
Proceedings of the American Mathematical Society, 1980 Let μ \mu be a bounded Borel measure ...
Jordan, G. S. +2 more
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Karl Popper and the Mechanisms of Hydrogen Embrittlement
Advanced Engineering Materials, EarlyView.Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
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Initial and boundary value problems in two and three dimensions [PDF]
, 2010 This thesis: (a) presents the solution of several boundary value problems (BVPs) for the Laplace and the modified Helmholtz equations in the interior of an equilateral triangle; (b) presents the solution of the heat equation in the interior of an ...
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Soft Mechanical‐Electrical Logic Using Liquid Metal‐Filled 3D‐Printed Architectures
Advanced Engineering Materials, EarlyView.We present 3D‐printed soft mechanical–electrical logic elements that use liquid metal–filled silicone tubes actuated by thermoplastic polyurethane/polylactic acid (TPU/PLA) architectures to produce Boolean operations. Complementary normally open and normally closed unit cells perform repeatable binary transitions and can be combined into more complex ...
Christoph Lehmann +2 more
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Advanced Engineering Materials, EarlyView.Coarse‐grained (left) and atomistic (right) models of the shape memory polymer ESTANE ETE 75DT3 are shown schematically. The two representations bridge molecular detail and mesoscopic description. Both models capture shape memory behavior, linking segmental mobility and conformational relaxation of anisotropic chains to macroscopic recovery, and ...
Fathollah Varnik
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