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asymptotic Derivation of a Linear Plate Model for Soft Ferromagnetic Materials

Chinese Annals of Mathematics,Series B 2018年第3期39卷 451-460页

作者： Giuseppe GEYMONAT Francoise KRASUCKI Michele SERPILLI Laboratoire de Mecanique des Solides Ecole PolytechniqueCNRSUniversite Paris-Saclay91128 PalaiseauFrance Institut Montpellierain Alexander Grothendieck UMR-CNRS 5149Universite de Montpellier Place Eugene Bataillon34095 Montpellier Cedex 5France Department of Civil and Building Engineering and ArchitecturePolytechnic University of MarcheVia Brecce Bianche60131 AnconaItaly

The authors use the asymptotic expansion method by *** to obtain a Kirchhoff-Love-type plate model for a linear soft ferromagnetic *** also give a mathematical justification of the obtained model by means of a strong ... 详细信息

关键词： asymptotic methods Plates Magnetoelasticity

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asymptoticS OF ORTHOGONAL POLYNOMIALS VIA THE RIEMANN-HILBERT APPROACH

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Acta Mathematica Scientia 2009年第4期29卷 1005-1034页

作者： R．Wong 赵育求 Department of Mathematics City University of Hong Kong Hong Kong China Department of Mathematics Sun Yat-Sen University Guangzhou 510275 China

In this survey we give a brief introduction to orthogonal polynomials, including a short review of classical asymptotic methods. Then we turn to a discussion of the Riemann-Hilbert formulation of orthogonal polynomials, and the Delft ＆ Zhou method of steepest descent. We illustrate this new approach, and a modified version, with the Hermite polynomials. Other recent progress of this method is also mentioned, including applications to discrete orthogonal polynomials, orthogonal polynomials on curves, multiple orthogonal polynomials, and certain orthogonal polynomials with singular behavior.

关键词： orthogonal polynomials asymptotic methods Riemann-Hilbert approach

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AN ANALYSIS OF PROPELLER LIFTING－LINE THEORY BY MATCHED asymptotic EXPANSIONS

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Chinese Journal of Aeronautics 1994年第3期7卷 153-159页

作者： Chen Zemin Pan Jieyuan WuLiyi(Institute of Fluid Mechanics, Beijing University of Aeronautics and Astronautics, Beijing, china, 100083)

Lifting-line model is developed for a propeller of large aspect ratio inblade-attached noninertial system. In the analysis of the method of matched asymptoticexpansions, a fictitious velocity potential is introduced. Control equation, boundarycondition and Bernoulli equation are derived in blade- attached system. The analysis ofthe matched asymptotic expansions shows that if the advance ratio of propeller is notvery small, lifting-line theory is still valid in blade-attached noninertial system for propeller.

关键词： propellers lifting bodies lines matching asymptotic methods

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Numerical Modeling of Electromagnetic Scattering from Sea Surface Covered by Oil

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Journal of Electromagnetic Analysis and Applications 2014年第1期6卷 15-24页

作者： Helmi Ghanmi Ali Khenchaf Fabrice Comblet Lab-STICC UMR CNRS 6285 ENSTA Bretagne2Rue Francois Verny29806Brest Cedex 09France

The aim of this work is to study the impacts of the oil spills on the electromagnetic scattering of the ocean surfaces in bistatic and monostatic configurations. Therefore, in this paper, we will study the influence of the pollutants (oil spills) on the physical and geometrical properties of sea surface. In recent literature, the study of the electromagnetic scattering from contaminated sea surface (sea surface covered by oil spill) was limited in monostatic case. In this paper, we will study this effect in bistatic configuration, which is interested in presence of pollution in sea surface. Indeed, we will start the numerical analysis of the bistatic scattering coefficients of a clean sea surface. Then, we will study the electromagnetic signature from sea surface covered by oil spills in bistatic case using the numerical Forward-Backward Method (FBM). The obtained numerical simulation of bistatic scattering coefficients of clean and contaminated sea surface is studied as a function of various parameters (frequency, incident angle, sea state, type of pollutant…). And the obtained results are also compared with those published in the literature, including those using asymptotic methods.

关键词： Sea Surface Oil Spills Forward-Backward Method asymptotic methods Electromagnetic Scattering Coefficients Bistatic Configuration

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A Theoretical Model of pH-Based Potentiometric Biosensor Based on Immobilized Enzyme Membrane

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American Journal of Analytical Chemistry 2016年第4期7卷 363-377页

作者： Jeganathan Saranya Lakshmanan Rajendran Mariappan Uma Maheswari Department of Mathematics Mother Teresa Women’s University Kodaikanal India Department of Mathematics Sethu Institute of Technology Kariapatti India Department of Mathematics Kamaraj College of Engineering and Technology Virudhunagar India

A theoretical model for the non steady-state response of a pH-based potentiometric biosensor immobilizing organophosphorus hydrolase (OPH) is discussed. The model is based on a system of five coupled nonlinear reaction-diffusion equations under non steady-state conditions for enzyme reactions occurring in potentiometric biosensor that describes the concentration of substrate and hydrolysis products within the membrane. New approximate analytical expressions for the concentration of the substrate (organophosphorus pesticides (OPs)) and products are derived for all values of Thiele modulus and buffer concentration using new approach of homotopy perturbation method. The analytical results are also compared with numerical ones and a good agreement is obtained. The obtained results are valid for the whole solution domain.

关键词： Mathematical Modeling Reaction-Diffusion pH-Based Potentiometric Biosensor asymptotic methods New Homotopy Perturbation Method

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