Results 21 to 30 of about 773 (267)
Asymptotics of a Class of Solutions to the Cylindrical Toda Equations
, 1997 The small t asymptotics of a class of solutions to the 2D cylindrical Toda equations is computed. The solutions, q_k(t), have the representation q_k(t) = log det(I-lambda K_k) - log det(I-lambda K_{k-1}) where K_k are integral operators.
Widom, H., Tracy, C. A.
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
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Asymptotic Stability of Solutions to a Nonlinear Urysohn Quadratic Integral Equation [PDF]
International Journal of Analysis, 2013 Here, we prove the existence of -nondecreasing solution to a nonlinear quadratic integral equation of Urysohn type by applying the technique of weak noncompactness. Also, the asymptotic stability of solutions for that quadratic integral equation is studied.
Hashem, H. H. G., Al-Rwaily, A. R.
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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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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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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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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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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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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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