An asymptotic approach to inverse scattering problems on weakly nonlinear elastic rods [PDF]
Journal of Applied Mathematics, Volume 2, Issue 8, Page 407-435, 2002., 2002 Elastic wave propagation in weakly nonlinear elastic rods is considered in the time domain. The method of wave splitting is employed to formulate a standard scattering problem, forming the mathematical basis for both direct and inverse problems. A quasi‐linear version of the Wendroff scheme (FDTD) is used to solve the direct problem.
Shinuk Kim, Kevin L. Kreider
wiley +4 more sources
Some fixed point results of F-Contraction mapping in D-metric spaces by Samet’s method [PDF]
, 2021 The aim of this paper is to study the F-contraction mapping introduced by Wardowski to obtain fixed point results by method of Samet in generalized complete metric spaces. Our findings extend the results announced by Samet methods and some other works in
Afshari, Hojjat +1 more
core +2 more sources
ON APPROXIMATE AND CLOSED-FORM SOLUTION METHOD FOR INITIAL-VALUE WAVE-LIKE MODELS [PDF]
, 2016 This work presents a proposed Modified Differential Transform Method (MDTM) for obtaining both closed-form and approximate solutions of initial-value wave-like models with variable, and constant coefficients.
Akinlabi, G. O., Edeki, S.O.
core +1 more source
Energy decay in thermoelastic bodies with radial symmetry [PDF]
, 2022 In this paper, we consider the energy decay of some problems involving domains with radial symmetry. Three different settings are studied: a strong porous dissipation and heat conduction, a weak porous dissipation and heat conduction and poro ...
Bazarra, Noelia +2 more
core +2 more sources
Asymptotic formulas for solitary waves in the high-energy limit of FPU-type chains [PDF]
, 2015 It is well established that the solitary waves of FPU-type chains converge in the high-energy limit to traveling waves of the hard-sphere model. In this paper we establish improved asymptotic expressions for the wave profiles as well as an explicit ...
Herrmann, Michael, Matthies, Karsten
core +2 more sources
Transfinite methods in metric fixed‐point theory
Abstract and Applied Analysis, Volume 2003, Issue 5, Page 311-324, 2003., 2003 This is a brief survey of the use of transfinite induction in metric fixed‐point theory. Among the results discussed in some detail is the author′s 1989 result on directionally nonexpansive mappings (which is somewhat sharpened), a result of Kulesza and Lim giving conditions when countable compactness implies compactness, a recent inwardness result for
W. A. Kirk
wiley +1 more source
The time-dependent von Kármán plate equation as a limit of 3D nonlinear elasticity [PDF]
, 2009 The asymptotic behaviour of the solutions of three-dimensional nonlinear elastodynamics in a thin plate is studied, as the thickness h of the plate tends to zero. Under appropriate scalings of the applied force and of the initial values in terms of h, it
Abels, Helmut +2 more
core +2 more sources
A Multiparameter, Numerical Stability Analysis of a Standing Cantilever Conveying Fluid [PDF]
, 2002 In this paper, we numerically examine the stability of a standing cantilever conveying fluid in a multiparameter space. Based on nonlinear beam theory, our mathematical model turns out to be replete with exciting behavior, some of which was totally ...
Bou-Rabee, Nawaf M. +2 more
core +1 more source
Optimal sensors placement in dynamic damage detection of beams using a statistical approach [PDF]
, 2020 Structural monitoring plays a central role in civil engineering; in particular, optimal sensor positioning is essential for correct monitoring both in terms of usable data and for optimizing the cost of the setup sensors.
Lofrano E. +3 more
core +1 more source
Efecto de la hormona Folículo-estimulante administrada vía epidural, sobre la respuesta ovárica y el perfil hormonal en vacas Holstein [PDF]
, 2023 El estudio se realizó en vacas Holstein mestizas, criadas en el trópico alto del Ecuador. Se determinó el efecto de la administración de hormona Folículo-estimulante (FSH), vía epidural en dosis única, sobre la respuesta ovárica, el número de estructuras
Andrés Santiago Jácome-Aucay +5 more
core +2 more sources