Results 71 to 80 of about 63,372 (284)
An Analysis of Infiltration in Furrow Irrigation Channels With Root Water Uptake
Journal of Applied MathematicsThis study discusses infiltration in six irrigation channel types with root water uptake in four types of roots. The mathematical model for the infiltration problem is the Richards equation.
Suma Inna +3 more
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Boundary Value Problems, 2019 The Cauchy problem of the modified Helmholtz-type equation is severely ill-posed, i.e., the solution does not depend continuously on the given Cauchy data. Thus the regularization methods are required to recover the numerical stability. In this paper, we
Hong Yang, Yanqi Yang
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Advanced Functional Materials, EarlyView.The facet‐engineered ZnO/Zn3In2S6 heterostructure, dominated by {001} plane coupling, exposes abundant unsaturated Zn sites with elongated Zn─O bonds, directing photoexcited charge carriers along an S‐scheme pathway and suppressing recombination. Enhanced interfacial Zn adsorption toward bisphenol A and methylene blue further synergistically promotes ...
Yang Yang +6 more
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Journal of Applied Mathematics, 2013 This paper discusses the problem of determining an unknown source which depends only on one variable for the modified Helmholtz equation. This problem is ill-posed in the sense that the solution (if it exists) does not depend continuously on the data ...
Xiao-Xiao Li +3 more
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High-frequency asymptotics for the modified Helmholtz equation in a half-plane [PDF]
Boundary Value Problems, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Advanced Functional Materials, EarlyView.Ultrathin AlOxHy interlayers between aluminum films and polymer substrates significantly improve electro‐mechanical properties of flexible thin film systems. By precisely controlling interlayer thickness using atomic layer deposition, this study identifies an optimal interlayer thickness of 5–10 nm that enhances ductility and delays cracking.
Johanna Byloff +9 more
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Fourier Based Fast Multipole Method for the Helmholtz Equation
, 2011 The fast multipole method (FMM) has had great success in reducing the computational complexity of solving the boundary integral form of the Helmholtz equation.
Cecka, Cris, Darve, Eric
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Two‐dimensional source potentials in a two‐fluid medium for the modified Helmholtz′s equation [PDF]
International Journal of Mathematics and Mathematical Sciences, 1986 Velocity potentials describing the irrotational infinitesimal motion of two superposed inviscid and incompressible fluids under gravity with a horizontal plane of mean surface of separation, are derived due to a vertical line source present in either of the fluids, whose strength, besides being harmonic in time, varies sinusiodally along its length ...
B. N. Mandal, R. N. Chakrabarti
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Frontier Advances of Emerging High‐Entropy Anodes in Alkali Metal‐Ion Batteries
Advanced Functional Materials, EarlyView.Recent advances in microscopic morphology control of high‐entropy anode materials for alkali metal‐ion batteries. Abstract With the growing demand for sustainable energy, portable energy storage systems have become increasingly critical. Among them, the development of rechargeable batteries is primarily driven by breakthroughs in electrode materials ...
Liang Du +14 more
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Exact nonclassical symmetry solutions of Arrhenius reaction-diffusion
, 2015 Exact solutions for nonlinear Arrhenius reaction-diffusion are constructed in $n$ dimensions. A single relationship between nonlinear diffusivity and the nonlinear reaction term leads to a nonclassical Lie symmetry whose invariant solutions have a heat ...
Bradshaw-Hajek, B. H. +2 more
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