| 期刊全称 | Acoustic and Electromagnetic Equations | | 期刊简称 | Integral Representat | | 影响因子2023 | Jean-Claude Nédélec | | 视频video | | | 学科分类 | Applied Mathematical Sciences | | 图书封面 |  | | 影响因子 | This book is devoted to the study of the acoustic wave equation and of the Maxwell system, the two most common wave equations encountered in physics or in engineering. The main goal is to present a detailed analysis of their mathematical and physical properties. Wave equations are time dependent. However, use of the Fourier trans form reduces their study to that of harmonic systems: the harmonic Helmholtz equation, in the case of the acoustic equation, or the har monic Maxwell system. This book concentrates on the study of these harmonic problems, which are a first step toward the study of more general time-dependent problems. In each case, we give a mathematical setting that allows us to prove existence and uniqueness theorems. We have systematically chosen the use of variational formulations related to considerations of physical energy. We study the integral representations of the solutions. These representa tions yield several integral equations. We analyze their essential properties. We introduce variational formulations for these integral equations, which are the basis of most numerical approximations. Different parts of this book were taught for at least ten years by the a | | Pindex | Textbook 2001 |
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发表于 2025-3-21 16:10:47
