Multiscaling analysis of a slowly varying anaerobic digestion model
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6315
Abstract: We construct the slowly varying limiting state solutions to a nonlinear dynamical system for anaerobic digestion with Monod‐based kinetics involving slowly varying model parameters arising from slow environmental variation. The advantage of these approximate solutions… read more here.
Keywords: anaerobic digestion; model; multiscaling analysis; analysis slowly ... See more keywords
The Fermion Tunneling from a Slowly Varying Charged Black Hole
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Theoretical Physics"
DOI: 10.1007/s10773-018-3994-x
Abstract: According to the Dirac equation and the Rarita-Schwinger equation, the Hamilton-Jacobi equation in curved space-time for the spin 1/2 and 3/2 fermions have been derived. Therefore, we find the Hamilton-Jacobi equation is a fundamental equation… read more here.
Keywords: slowly varying; black hole; jacobi equation; equation ... See more keywords
Asymptotic Behavior of Slowly Varying Solutions of Second-Order Ordinary Binomial Differential Equations with Rapidly Varying Nonlinearity
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-4111-7
Abstract: We establish new conditions for the existence of slowly varying solutions of a second-order differential binomial nonautonomous equation with rapidly varying nonlinearity. We also determine the asymptotic representations for these solutions and their first derivatives… read more here.
Keywords: slowly varying; solutions second; second order; varying nonlinearity ... See more keywords
Efficient topology optimization of optical waveguide using finite element method based on slowly varying envelope approximation
Sign Up to like & getrecommendations! Published in 2021 at "Optik"
DOI: 10.1016/j.ijleo.2020.165951
Abstract: Abstract We propose a novel finite element method (FEM) for efficient optical waveguide analysis to improve the computational efficiency in inverse design of optical waveguide devices. In our formulation, applying slowly varying envelope approximation (SVEA)… read more here.
Keywords: slowly varying; envelope; method; topology ... See more keywords
A general nonlocal theory and its approximations for slowly varying acoustic waves
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Mechanical Sciences"
DOI: 10.1016/j.ijmecsci.2017.05.038
Abstract: Abstract In this study, the mechanics of particles, the mechanics of linear elastic continua, and the materials dispersion relations are considered in the framework of a general nonlocal theory which considers different attenuation functions for… read more here.
Keywords: strain gradient; slowly varying; theory; varying acoustic ... See more keywords
Unsteady flow of a thixotropic fluid in a slowly varying pipe
Sign Up to like & getrecommendations! Published in 2017 at "Physics of Fluids"
DOI: 10.1063/1.4998960
Abstract: We analyse the unsteady axisymmetric flow of a thixotropic or antithixotropic fluid in a slowly varying cylindrical pipe. We derive general perturbation solutions in regimes of small Deborah numbers, in which thixotropic or antithixotropic effects… read more here.
Keywords: slowly varying; flow; fluid slowly; pipe ... See more keywords
Long-distance BOTDA sensing systems using video-BM3D denoising for both static and slowly varying environment.
Sign Up to like & getrecommendations! Published in 2019 at "Optics express"
DOI: 10.1364/oe.27.036100
Abstract: In this paper, video block-matching and 3D filtering (VBM3D) denoising has been proposed and experimentally demonstrated for the first time in 100.8 km long-distance Brillouin optical time domain analyzer (BOTDA) sensing system with 2 m spatial… read more here.
Keywords: slowly varying; temperature; botda sensing; long distance ... See more keywords
Asymptotics of the Sum of a Sine Series with a Convex Slowly Varying Sequence of Coefficients
Sign Up to like & getrecommendations! Published in 2021 at "Mathematics"
DOI: 10.3390/math9182252
Abstract: We study the asymptotic behavior in a neighborhood of zero of the sum of a sine series g(b,x)=∑k=1∞bksinkx whose coefficients constitute a convex slowly varying sequence b. The main term of the asymptotics of the… read more here.
Keywords: slowly varying; varying sequence; convex slowly; sum sine ... See more keywords