Exponential decay in one‐dimensional Type II/III thermoelasticity with two porosities
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6438
Abstract: In this paper, we consider the theory of thermoelasticity with a double porosity structure in the context of the Green–Naghdi Types II and III heat conduction models. For the Type II, the problem is given… read more here.
Keywords: dissipation; thermoelasticity; exponential decay; structure ... See more keywords
An adaptive mechanism to achieve learning rate dynamically
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DOI: 10.1007/s00521-018-3495-0
Abstract: Gradient descent is prevalent for large-scale optimization problems in machine learning; especially it nowadays plays a major role in computing and correcting the connection strength of neural networks in deep learning. However, many gradient-based optimization… read more here.
Keywords: mechanism; exponential decay; adaptive mechanism; rate ... See more keywords
Exponential Decay of Correlations for a Real-Valued Dynamical System Generated by a k$k$ Dimensional System
Sign Up to like & getrecommendations! Published in 2018 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-018-0192-z
Abstract: As a first step towards modelling real time-series, we study a class of real-variable, bounded processes {Xn,n∈N}$\{X_{n}, n\in \mathbb{N}\}$ defined by a deterministic k$k$-term recurrence relation Xn+k=φ(Xn,…,Xn+k−1)$X_{n+k} = \varphi (X _{n}, \ldots , X_{n+k-1})$. These… read more here.
Keywords: dynamical system; system; exponential decay; correlations real ... See more keywords
Global Strong Solution and Exponential Decay to the 3D Cauchy Problem of Nonhomogeneous Bénard System with Vacuum
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DOI: 10.1007/s10440-021-00406-5
Abstract: We prove the global existence and exponential decay of strong solutions to the Cauchy problem of nonhomogeneous Benard system in $\mathbb{R}^{3}$ provided that some smallness conditions hold true. Note that although the system degenerates near… read more here.
Keywords: problem nonhomogeneous; exponential decay; system; cauchy problem ... See more keywords
Exponential Decay of Correlations in the 2D Random Field Ising Model
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DOI: 10.1007/s10955-019-02401-5
Abstract: An extension of the Ising spin configurations to continuous functions is used for an exact representation of the random field Ising model’s order parameter in terms of disagreement percolation. This facilitates an extension of the… read more here.
Keywords: exponential decay; random field; field ising; ising model ... See more keywords
Short-term forecast in the early stage of the COVID-19 outbreak in Italy. Application of a weighted and cumulative average daily growth rate to an exponential decay model
Sign Up to like & getrecommendations! Published in 2020 at "Infectious Disease Modelling"
DOI: 10.1016/j.idm.2020.12.007
Abstract: To estimate the size of the novel coronavirus (COVID-19) outbreak in the early stage in Italy, this paper introduces the cumulated and weighted average daily growth rate (WR) to evaluate an epidemic curve. On the… read more here.
Keywords: covid outbreak; exponential decay; model; average daily ... See more keywords
-coupling mechanisms are sufficient to obtain exponential decay in strain gradient elasticity
Sign Up to like & getrecommendations! Published in 2023 at "European Journal of Applied Mathematics"
DOI: 10.1017/s0956792523000086
Abstract: In this paper, we consider the time decay of the solutions to some problems arising in strain gradient thermoelasticity. We restrict to the two-dimensional case, and we assume that two dissipative mechanisms are introduced, the… read more here.
Keywords: coupling mechanisms; strain gradient; exponential decay; obtain exponential ... See more keywords
Estimates of the Exponential Decay of Perturbations Superimposed on the Longitudinal Harmonic Vibrations of a Viscous Layer
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DOI: 10.1134/s00122661200100109
Abstract: We study how the pattern of perturbations superimposed on a plane-parallel time-periodic flow of a Newtonian viscous fluid evolves in a layer in which one of the boundaries performs longitudinal harmonic vibrations along itself, with… read more here.
Keywords: exponential decay; layer; harmonic vibrations; perturbations superimposed ... See more keywords
Exponential Decay Estimates For Some Components of Solutions to the Nonlinear Delay Differential Equations of the Living System Models
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DOI: 10.1134/s0037446620040126
Abstract: Studying the behavior of solutions to the Cauchy problem for a family of nonlinear functional differential equations with delay which arise in the living system models, we establish the conditions that provide some exponential decay estimates… read more here.
Keywords: living system; exponential decay; system models; estimates components ... See more keywords
Comprehensive analysis of lymphocyte loss kinetics in patients treated with focal fractionated radiation therapy.
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Clinical Oncology"
DOI: 10.1200/jco.2019.37.15_suppl.e14191
Abstract: e14191 Background: Radiation (RT)-induced lymphopenia (RIL) is associated with worse survival in patients with solid tumors as well as lower response rates to checkpoint inhibitors. This analysis aimed to model the kinetics of lymphocyte depletion… read more here.
Keywords: patients treated; pflac; radiation; alc loss ... See more keywords
LOCAL EXISTENCE AND EXPONENTIAL DECAY OF SOLUTIONS FOR A NONLINEAR PSEUDOPARABOLIC EQUATION WITH VISCOELASTIC TERM
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DOI: 10.22771/nfaa.2021.26.01.03
Abstract: In this paper, we investigate an initial boundary value problem for a nonlinear pseudoparabolic equation. At first, by applying the Faedo-Galerkin, we prove local existence and uniqueness results. Next, by constructing Lyapunov functional, we establish… read more here.
Keywords: local existence; pseudoparabolic equation; nonlinear pseudoparabolic; existence exponential ... See more keywords